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\begin{theindex}
\item $O(\cdot)$, \hyperpage{23}, \hyperpage{138}
\item $[n]$, \hyperpage{105}
\item $\Omega(\cdot)$, \hyperpage{138}
\item $\Theta(\cdot)$, \hyperpage{138}
\item $\bot$, \hyperpage{61}, \hyperpage{63}
\item {\sc $k$-Clique}, \hyperpage{133, 134}
\item {\sc $k$-Stable}, \hyperpage{134}
\item {\sc $k$-Stable}, \hyperpage{133}, \hyperpage{138}
\item ;, \hyperpage{32}
\item {\tt <>}, \hyperpage{72}
\item \{\}, \hyperpage{31}
\indexspace
\item abstraction, \hyperpage{133}
\item action, \hyperpage{105}
\item address, \hyperpage{30}, \hyperpage{103}
\subitem return, \hyperpage{71}
\item Adelson, \hyperpage{154}
\item algorihm, \hyperpage{109}
\item algorithm, \hyperpage{22}, \hyperpage{29}, \hyperpage{102},
\hyperpage{132, 133}
\subitem Bellman-Ford, \hyperpage{164}
\subitem best, \hyperpage{138}
\subitem Dijkstra, \hyperpage{164}, \hyperpage{166, 167},
\hyperpage{169, 170}
\subitem efficient, \hyperpage{87}
\subitem exact, \hyperpage{135}
\subitem execution, \hyperpage{146}
\subitem exponential, \hyperpage{138}
\subitem Floyd-Warshall, \hyperpage{164}, \hyperpage{170}
\subitem heuristic, \hyperpage{135}
\subitem input, \hyperpage{56}
\subitem non-polynomial, \hyperpage{135}
\subitem polynomial, \hyperpage{135}, \hyperpage{138}
\subitem Prim, \hyperpage{128}
\subitem Prim's, \hyperpage{133}
\subitem recursive, \hyperpage{124}, \hyperpage{141},
\hyperpage{160}
\subitem sorting, \hyperpage{144}, \hyperpage{147}
\subsubitem best, \hyperpage{140}
\subsubitem comparison-based, \hyperpage{139}
\subsubitem general-purpose, \hyperpage{140}
\subitem sub-step, \hyperpage{163}
\item alphabet, \hyperpage{18}, \hyperpage{20}, \hyperpage{104}
\item ambiguous, \hyperpage{94}
\item AMPL, \hyperpage{19}
\item ancestor, \hyperpage{124}
\subitem node, \hyperpage{149}
\item approximation, \hyperpage{140}
\item arc, \hyperpage{41}, \hyperpage{59}, \hyperpage{122}
\subitem multiple, \hyperpage{41}
\subitem multiplicity, \hyperpage{41}
\subitem relaxed, \hyperpage{169}
\item {\tt args}, \hyperpage{30}
\item Ariane 5, \hyperpage{28}
\item array, \hyperpage{30}, \hyperpage{32, 33}, \hyperpage{36, 37},
\hyperpage{53}, \hyperpage{75}, \hyperpage{77},
\hyperpage{109}, \hyperpage{137}
\subitem access, \hyperpage{67}
\subitem binary, \hyperpage{118}
\subitem bound, \hyperpage{71}
\subitem circular, \hyperpage{65}
\subsubitem implementation, \hyperpage{66}
\subitem complexity, \hyperpage{54}
\subitem component, \hyperpage{58}
\subitem delimiter, \hyperpage{55}
\subitem efficiency, \hyperpage{54}
\subitem entry, \hyperpage{55}
\subitem insert, \hyperpage{54}, \hyperpage{75}
\subitem insertion, \hyperpage{56}
\subitem integer, \hyperpage{121}, \hyperpage{166}
\subitem jagged, \hyperpage{53}
\subitem linear, \hyperpage{32}, \hyperpage{36}, \hyperpage{53}
\subitem memory, \hyperpage{71}
\subitem memory size, \hyperpage{55}
\subitem move, \hyperpage{54}
\subitem multidimensional, \hyperpage{32}, \hyperpage{53}
\subitem operation
\subsubitem copy, \hyperpage{58}
\subitem operations, \hyperpage{54}
\subitem read, \hyperpage{54}
\subitem removal, \hyperpage{56}
\subitem remove, \hyperpage{54}
\subitem scanning, \hyperpage{140}
\subitem size, \hyperpage{54, 55}
\subitem sorted, \hyperpage{137}
\subitem splice, \hyperpage{56}
\subitem two-dimensional, \hyperpage{32}, \hyperpage{36}
\subitem unsorted, \hyperpage{137}, \hyperpage{140}
\subitem write, \hyperpage{54}
\item {\tt ArrayList}, \hyperpage{29}, \hyperpage{110}
\item ASCII, \hyperpage{25}, \hyperpage{71}, \hyperpage{77},
\hyperpage{79}
\item ASP, \hyperpage{164}, \hyperpage{170}
\item assembly, \hyperpage{71}
\item {\tt assert}, \hyperpage{67}
\item assignment, \hyperpage{22}, \hyperpage{75}, \hyperpage{104}
\item atom, \hyperpage{45}, \hyperpage{92}
\item atomic formula, \hyperpage{92}
\item attribute, \hyperpage{21}, \hyperpage{27}, \hyperpage{35},
\hyperpage{81}
\item automorphism, \hyperpage{43}, \hyperpage{105}
\subitem graph, \hyperpage{43}
\item AVL, \hyperpage{154}
\item axiom, \hyperpage{114}
\indexspace
\item backtrack, \hyperpage{124, 125}
\item base address, \hyperpage{75}
\item base case, \hyperpage{150}
\item Basic, \hyperpage{19}, \hyperpage{25}
\item BB, \hyperpage{164}
\item Bellman, R., \hyperpage{164}
\item BFS, \hyperpage{67}, \hyperpage{120}, \hyperpage{123},
\hyperpage{164}
\subitem rank, \hyperpage{120}
\item bijection, \hyperpage{43}, \hyperpage{106}
\item bipartite, \hyperpage{41, 42}
\item bisection, \hyperpage{132}, \hyperpage{137},
\hyperpage{141, 142}
\item bit, \hyperpage{20}, \hyperpage{118}
\item block
\subitem for, \hyperpage{31}
\subitem if, \hyperpage{31}
\subitem while, \hyperpage{31}
\item bond, \hyperpage{92}
\item {\tt boolean}, \hyperpage{31}
\item {\tt bot}, \hyperpage{63}
\item bound, \hyperpage{146}
\item brace, \hyperpage{31}, \hyperpage{34}
\item bracket
\subitem curly, \hyperpage{31}
\subitem square, \hyperpage{32}
\item {\sc Branch-and-Bound}, \hyperpage{164}
\item breadth-first search, \hyperpage{67}
\item {\sc Breadth-First Search}, \hyperpage{120}
\item {\sc Breadth-First Search}, \hyperpage{164}
\item brute force, \hyperpage{137}
\item BST, \hyperpage{150}, \hyperpage{154}, \hyperpage{158--160}
\subitem balancing, \hyperpage{154}
\subitem delete, \hyperpage{154}, \hyperpage{158}
\subitem deletion, \hyperpage{152}
\subsubitem two subnodes, \hyperpage{153}
\subitem {\tt find}, \hyperpage{151}
\subitem insert, \hyperpage{157}
\subitem {\tt insert}, \hyperpage{152}
\subitem left, \hyperpage{156}
\subitem {\tt max}, \hyperpage{151}
\subitem {\tt min}, \hyperpage{150}
\subitem minimum, \hyperpage{153}
\subitem property, \hyperpage{156}
\subitem rebalancing, \hyperpage{156}
\subitem recursive
\subsubitem methods, \hyperpage{150}
\subitem right, \hyperpage{156}
\subitem root, \hyperpage{154}
\subitem rooted, \hyperpage{156, 157}
\subitem rotating, \hyperpage{156}
\item bug, \hyperpage{28}
\item byte
\subitem comparison, \hyperpage{139}
\indexspace
\item C, \hyperpage{19}, \hyperpage{25}, \hyperpage{31},
\hyperpage{53}
\item C++, \hyperpage{19}, \hyperpage{25}, \hyperpage{30, 31},
\hyperpage{53}
\item call
\subitem recursive, \hyperpage{108}
\item Cameron, P., \hyperpage{144}
\item CAML, \hyperpage{19}
\item carbon, \hyperpage{92}
\item cardinality
\subitem largest, \hyperpage{136}
\item Carnap, R., \hyperpage{95}
\item Cartesian product, \hyperpage{41}
\item Cayley, \hyperpage{90}
\item cell, \hyperpage{18}
\item certificate, \hyperpage{131}
\subitem NO, \hyperpage{133}
\subitem YES, \hyperpage{133}
\item {\tt char}, \hyperpage{26}, \hyperpage{31}
\item chemical formula, \hyperpage{93}
\item Chomsky, N., \hyperpage{95}
\item chord, \hyperpage{92}
\item Church's thesis, \hyperpage{18}
\item Church, A., \hyperpage{18}
\item circuit, \hyperpage{48}, \hyperpage{163}
\subitem weighted, \hyperpage{165}
\item circular array, \hyperpage{65}
\item {\tt circularArray}, \hyperpage{67}
\item class, \hyperpage{21}, \hyperpage{27, 28}, \hyperpage{33},
\hyperpage{53}, \hyperpage{80}
\subitem constructor, \hyperpage{63}
\subitem function, \hyperpage{35}
\subitem implementation, \hyperpage{62}
\subitem infinite, \hyperpage{138}
\subitem inheritance, \hyperpage{28}
\subitem interface, \hyperpage{28}
\subitem member, \hyperpage{27}, \hyperpage{32}, \hyperpage{82}
\subitem parameter, \hyperpage{72}
\subitem parametrizable, \hyperpage{110}
\subitem parametrized, \hyperpage{72}
\subitem reference, \hyperpage{110}
\subitem structure, \hyperpage{28}, \hyperpage{34}
\subitem user-defined, \hyperpage{26}
\item clique, \hyperpage{42}, \hyperpage{45}, \hyperpage{131},
\hyperpage{133}
\subitem directed, \hyperpage{41}
\item co-domain, \hyperpage{19}
\item code
\subitem duplication, \hyperpage{28}
\subitem executable, \hyperpage{32}
\item collision, \hyperpage{78}
\item column, \hyperpage{33}, \hyperpage{36}
\item command line, \hyperpage{70}
\item comment, \hyperpage{26}, \hyperpage{33}, \hyperpage{62},
\hyperpage{109}, \hyperpage{113}
\item commodity, \hyperpage{97}
\item comparison, \hyperpage{139}, \hyperpage{144},
\hyperpage{146, 147}
\subitem byte, \hyperpage{77}
\item compiler, \hyperpage{25}, \hyperpage{27, 28},
\hyperpage{30, 31}, \hyperpage{53}
\item complete, \hyperpage{41}, \hyperpage{45}, \hyperpage{133}
\item complete graph, \hyperpage{42}
\item complexity
\subitem algorithm, \hyperpage{133}, \hyperpage{138}
\subitem array, \hyperpage{54}
\subitem asymptotic, \hyperpage{57}, \hyperpage{138},
\hyperpage{147}
\subitem average case, \hyperpage{57}, \hyperpage{60}
\subitem average-case, \hyperpage{22}, \hyperpage{56},
\hyperpage{144}
\subitem best-case, \hyperpage{22}, \hyperpage{138}
\subitem exact, \hyperpage{147}
\subitem lower bound, \hyperpage{133}
\subitem order, \hyperpage{23}
\subitem polynomial, \hyperpage{138}
\subitem problem, \hyperpage{133}, \hyperpage{138}
\subitem space, \hyperpage{22}
\subitem time, \hyperpage{22}
\subitem upper bound, \hyperpage{132}
\subitem worst-case, \hyperpage{22, 23}, \hyperpage{132},
\hyperpage{138}, \hyperpage{147}
\item component, \hyperpage{33}
\item components, \hyperpage{36}
\item composition, \hyperpage{106}
\item computable, \hyperpage{19}
\item computer science, \hyperpage{163}
\item concatenate, \hyperpage{61}
\item concatenation, \hyperpage{18}, \hyperpage{22}
\item conformance, \hyperpage{28}
\item conjecture, \hyperpage{138}
\item connected, \hyperpage{46}
\subitem component, \hyperpage{118}
\item connectedness
\subitem minimal, \hyperpage{127}
\item connectivity, \hyperpage{97}
\item conservative, \hyperpage{165, 166}
\item console, \hyperpage{33}, \hyperpage{35--37}
\item constant, \hyperpage{20}, \hyperpage{23}, \hyperpage{94},
\hyperpage{139}
\item constant time, \hyperpage{75}
\item constructor, \hyperpage{63}, \hyperpage{82}
\item contraction, \hyperpage{50}
\item contradiction, \hyperpage{108}, \hyperpage{119}
\item control, \hyperpage{71}
\item Cook, S., \hyperpage{134}
\item copy
\subitem deep, \hyperpage{26}
\subitem shallow, \hyperpage{26}
\item cost, \hyperpage{97}
\subitem function, \hyperpage{128}
\subitem minimum, \hyperpage{127}, \hyperpage{132}
\subitem nonnegative, \hyperpage{97}
\subitem unitary, \hyperpage{97}
\item couple, \hyperpage{164}
\item CPU, \hyperpage{17}, \hyperpage{25}
\item cutset, \hyperpage{46}, \hyperpage{60}, \hyperpage{127, 128}
\subitem empty
\subsubitem nontrivial, \hyperpage{131}
\subitem trivial, \hyperpage{46}
\item cycle, \hyperpage{60}, \hyperpage{65}, \hyperpage{87},
\hyperpage{89}, \hyperpage{119}, \hyperpage{127},
\hyperpage{163}, \hyperpage{165}
\subitem basis, \hyperpage{92}
\subsubitem fundamental, \hyperpage{92}
\subitem disjoint, \hyperpage{107}
\subitem length, \hyperpage{107}
\subitem negative, \hyperpage{163--165}
\subitem set, \hyperpage{92}
\subsubitem linearly independent, \hyperpage{92}
\subitem simple, \hyperpage{47}, \hyperpage{59, 60}
\subitem space, \hyperpage{48}, \hyperpage{87}
\subsubitem basis, \hyperpage{92}
\subitem sum, \hyperpage{92}
\subitem unique, \hyperpage{90}, \hyperpage{92}
\item cylinder, \hyperpage{112}
\subitem radius, \hyperpage{112}
\indexspace
\item DAG, \hyperpage{125}
\item data
\subitem container, \hyperpage{53}, \hyperpage{149}
\subsubitem dynamic, \hyperpage{149}
\subsubitem size, \hyperpage{58}
\subsubitem static, \hyperpage{149}
\subitem object, \hyperpage{131}
\subitem shared, \hyperpage{27}, \hyperpage{35}
\subitem structure, \hyperpage{20, 21}, \hyperpage{27},
\hyperpage{41}, \hyperpage{53}, \hyperpage{71},
\hyperpage{110}, \hyperpage{119}, \hyperpage{128},
\hyperpage{149}
\subsubitem element, \hyperpage{53}
\subsubitem elementary, \hyperpage{21}
\subsubitem entry, \hyperpage{53}
\subsubitem fixed size, \hyperpage{76}
\subsubitem linear, \hyperpage{58}, \hyperpage{87},
\hyperpage{110}, \hyperpage{137}, \hyperpage{149}
\subsubitem searchable, \hyperpage{149}
\subsubitem tree, \hyperpage{87}, \hyperpage{149}
\subsubitem tree-like, \hyperpage{159}
\subsubitem user-defined, \hyperpage{21}
\subitem type, \hyperpage{26, 27}, \hyperpage{31}, \hyperpage{60},
\hyperpage{131}, \hyperpage{138}, \hyperpage{149}
\subsubitem elementary, \hyperpage{26}, \hyperpage{30, 31}
\subsubitem non-elementary, \hyperpage{71, 72}
\item data container, \hyperpage{58}
\item decidable, \hyperpage{19}, \hyperpage{21}
\item decision, \hyperpage{19}, \hyperpage{131}
\item declaration, \hyperpage{34}
\item declarative, \hyperpage{19}
\item definition, \hyperpage{34}
\item degree, \hyperpage{46}, \hyperpage{89}
\item delete, \hyperpage{149}, \hyperpage{155}
\item delimiter, \hyperpage{55}
\item depth, \hyperpage{88}, \hyperpage{124}, \hyperpage{156}
\subitem difference, \hyperpage{156}
\item depth-first, \hyperpage{102}
\item {\sc Depth-First Search}, \hyperpage{123}
\item DFS, \hyperpage{102}, \hyperpage{123}, \hyperpage{125}
\subitem scan, \hyperpage{126}
\subitem search, \hyperpage{124}
\item {\tt dfs}, \hyperpage{124}
\item digraph, \hyperpage{41}, \hyperpage{54}, \hyperpage{118},
\hyperpage{163}, \hyperpage{165, 166}, \hyperpage{170}
\subitem acyclic, \hyperpage{125}
\subitem arc list, \hyperpage{54}
\subitem bipartite, \hyperpage{41}
\subitem complete, \hyperpage{41}
\subitem dense, \hyperpage{169}
\subitem empty, \hyperpage{41}
\subitem nonnegatively weighted, \hyperpage{166}
\subitem simple, \hyperpage{41}
\subitem star, \hyperpage{166}
\subitem strongly connected, \hyperpage{47}, \hyperpage{163}
\item Dijkstra, E., \hyperpage{164}
\item dimension, \hyperpage{33}, \hyperpage{87}
\item Diophantine equation, \hyperpage{19}
\item disconnected, \hyperpage{87}
\item distance
\subitem Hamming, \hyperpage{97}
\item {\sc Divide-and-Conquer}, \hyperpage{141, 142}
\item {\sc Divide-and-Conquer}, \hyperpage{142}
\item {\tt DLList}, \hyperpage{61, 62}
\item domain, \hyperpage{19}, \hyperpage{76}
\item dot operator, \hyperpage{31}
\item {\tt double}, \hyperpage{31}
\item {\tt double}, \hyperpage{21}, \hyperpage{26}
\indexspace
\item Eco, U., \hyperpage{125}
\item edge, \hyperpage{42}, \hyperpage{59}, \hyperpage{89},
\hyperpage{92}, \hyperpage{97}, \hyperpage{118--120},
\hyperpage{124}
\subitem addition, \hyperpage{50}, \hyperpage{60}
\subitem cheapest, \hyperpage{128}
\subitem column, \hyperpage{92}
\subitem contraction, \hyperpage{50}
\subitem cost function, \hyperpage{127}
\subitem intersection, \hyperpage{125}
\subitem number, \hyperpage{123}
\subitem removal, \hyperpage{50}, \hyperpage{60}
\subitem set, \hyperpage{42}, \hyperpage{45}, \hyperpage{133}
\subitem swap, \hyperpage{90}
\subitem tree, \hyperpage{92}
\subitem weighted, \hyperpage{163}
\item Edmonds, J., \hyperpage{135}
\item efficiency
\subitem algorithmic, \hyperpage{133}
\item efficient, \hyperpage{20}
\item element
\subitem leftmost, \hyperpage{140}
\subitem minimum, \hyperpage{140}, \hyperpage{150}
\item empty, \hyperpage{45}, \hyperpage{132}
\item engineering, \hyperpage{163}
\item equation, \hyperpage{144}
\subitem differential, \hyperpage{144}
\subsubitem first-order, \hyperpage{146}
\item error
\subitem detection, \hyperpage{67}
\item event
\subitem independence, \hyperpage{57}
\subitem independent, \hyperpage{57}
\item expression, \hyperpage{94}
\subitem mathematical, \hyperpage{94}
\subitem tree, \hyperpage{95}
\indexspace
\item factor, \hyperpage{145}
\item factorial
\subitem iterative, \hyperpage{104}
\subitem recursive, \hyperpage{101}
\item Fermat, \hyperpage{114}
\item Fibonacci (L.~Pisano), \hyperpage{144}
\item field
\subitem finite, \hyperpage{92}
\item FIFO, \hyperpage{65}
\item file, \hyperpage{32}
\item find, \hyperpage{149}, \hyperpage{155}
\item flip, \hyperpage{97}
\item {\tt float}, \hyperpage{26}, \hyperpage{31}
\item {\tt floatDown}, \hyperpage{161, 162}
\item floating-point, \hyperpage{30}
\item {\tt floatUp}, \hyperpage{161}
\item {\tt floatUp}, \hyperpage{162}
\item floor, \hyperpage{36}
\item Floyd, \hyperpage{164}
\item Ford, L., \hyperpage{164}
\item formula
\subitem propositional, \hyperpage{134}
\subitem Stirling, \hyperpage{140}
\item Fortran, \hyperpage{19}, \hyperpage{25}
\item function, \hyperpage{19, 20}, \hyperpage{23}, \hyperpage{71}
\subitem arc
\subsubitem weigth, \hyperpage{170}
\subitem arc weight, \hyperpage{165}
\subitem argument, \hyperpage{29}
\subitem call, \hyperpage{71}, \hyperpage{104}
\subsubitem nested, \hyperpage{71}
\subsubitem recursive, \hyperpage{101}
\subsubitem tree, \hyperpage{103}
\subitem computable, \hyperpage{19}
\subitem edge weight, \hyperpage{163}
\subitem input, \hyperpage{71}
\subitem overloading, \hyperpage{77}
\subitem plot, \hyperpage{33}
\subitem recursive, \hyperpage{124}, \hyperpage{150}
\subitem scalar-valued, \hyperpage{132}
\subitem user-defined, \hyperpage{21}
\subitem weight
\subsubitem conservative, \hyperpage{165}
\subitem well-defined, \hyperpage{71}
\item {\tt functionPlot}, \hyperpage{33}
\indexspace
\item G\"odel
\subitem incompleteness theorem, \hyperpage{114}
\item G\"odel, K., \hyperpage{114}
\item Game of Life, \hyperpage{18}
\item Garey, M., \hyperpage{133}
\item generic container, \hyperpage{72}
\item GOTO, \hyperpage{71}
\item grammar
\subitem formal, \hyperpage{94}
\subitem label, \hyperpage{95}
\item graph, \hyperpage{41, 42}, \hyperpage{54}, \hyperpage{59},
\hyperpage{102}, \hyperpage{120}, \hyperpage{124},
\hyperpage{132}, \hyperpage{163}
\subitem adjacency list, \hyperpage{54}
\subitem automorphism, \hyperpage{43}
\subitem bipartite, \hyperpage{42}
\subitem block, \hyperpage{125}
\subitem complement, \hyperpage{42}, \hyperpage{133}
\subitem complete, \hyperpage{42}, \hyperpage{97}
\subitem connected, \hyperpage{46}, \hyperpage{87}, \hyperpage{120},
\hyperpage{124}, \hyperpage{131}, \hyperpage{163}
\subitem dense, \hyperpage{167}
\subitem directed, \hyperpage{41}, \hyperpage{88}, \hyperpage{163}
\subitem disconnected, \hyperpage{132}
\subitem edge list, \hyperpage{54}
\subitem empty, \hyperpage{42}
\subitem exploration, \hyperpage{67}
\subitem isomorphism, \hyperpage{43}
\subitem line, \hyperpage{44}
\subitem minor, \hyperpage{50}
\subitem operation, \hyperpage{50}, \hyperpage{60}
\subitem planar, \hyperpage{125}
\subitem problem, \hyperpage{117}
\subitem representation, \hyperpage{54}
\subitem simple, \hyperpage{42}
\subitem sparse, \hyperpage{167}
\subitem strongly connected, \hyperpage{46}
\subitem structure, \hyperpage{43}
\subitem theory, \hyperpage{125}
\subitem underlying, \hyperpage{42}
\subitem undirected, \hyperpage{163, 164}
\subitem weighted, \hyperpage{128}
\item {\sc Graph Scanning}, \hyperpage{117}
\item {\sc Graph Scanning}, \hyperpage{120}
\item {\sc Graph Scanning}, \hyperpage{119}, \hyperpage{123},
\hyperpage{164}, \hyperpage{166, 167}
\item greedy, \hyperpage{135}
\item group, \hyperpage{43}, \hyperpage{106}
\subitem structure, \hyperpage{44}
\subitem symmetric, \hyperpage{106}
\item GUI, \hyperpage{28}
\indexspace
\item Hamming, \hyperpage{97}
\item Hanoi towers, \hyperpage{112}
\subitem Java, \hyperpage{113}
\item hash
\subitem table, \hyperpage{80}
\item hash function, \hyperpage{79}
\subitem injective, \hyperpage{78}
\item hash function, \hyperpage{76}, \hyperpage{78, 79},
\hyperpage{83}
\subitem family, \hyperpage{79}
\subitem injective, \hyperpage{77}
\item hash table, \hyperpage{75}, \hyperpage{78, 79}
\subitem find, \hyperpage{83}
\item {\tt hashCode}, \hyperpage{77}
\item head, \hyperpage{18}
\item heap, \hyperpage{159, 160}, \hyperpage{169}
\subitem bottom, \hyperpage{160}
\subitem empty, \hyperpage{161}
\subitem float, \hyperpage{161}
\subitem {\tt floatUp}, \hyperpage{160}
\subitem insertion, \hyperpage{160}
\subitem last, \hyperpage{160}
\subitem level, \hyperpage{160, 161}
\subitem new, \hyperpage{161}
\subitem node, \hyperpage{160}
\subitem {\tt popMax}, \hyperpage{161}
\subitem property, \hyperpage{159--161}
\subitem root, \hyperpage{161}
\subitem shape property, \hyperpage{160}
\subitem shape properties, \hyperpage{160}
\subitem shape property, \hyperpage{159, 160}
\subitem unlink, \hyperpage{161}
\item height, \hyperpage{88}
\item {\tt helloWorld}, \hyperpage{27}
\item heuristic, \hyperpage{135}, \hyperpage{164}
\subitem greedy, \hyperpage{135}
\item Hilbert, D., \hyperpage{19}, \hyperpage{114}
\item hydrogen, \hyperpage{92}
\indexspace
\item identity, \hyperpage{44}
\item imperative, \hyperpage{19}
\item implementation
\subitem recursive, \hyperpage{149}
\item import, \hyperpage{34}, \hyperpage{62}, \hyperpage{109},
\hyperpage{113}
\item indegree, \hyperpage{42}
\item independent
\subitem set, \hyperpage{45}
\item index, \hyperpage{53}, \hyperpage{76}, \hyperpage{79},
\hyperpage{147}
\subitem arithmetic, \hyperpage{53}, \hyperpage{61}
\subitem iteration, \hyperpage{167}
\subitem positional, \hyperpage{144}
\item induced, \hyperpage{44}
\item induction
\subitem mathematical, \hyperpage{101}, \hyperpage{104}
\item infinite, \hyperpage{131}
\item information
\subitem exchange, \hyperpage{97}
\item inheritance, \hyperpage{28}
\item injective, \hyperpage{80}
\item input, \hyperpage{71}, \hyperpage{102}, \hyperpage{131, 132},
\hyperpage{134}, \hyperpage{137}, \hyperpage{144},
\hyperpage{152}
\subitem argument, \hyperpage{104, 105}
\subitem general, \hyperpage{144}
\item insert, \hyperpage{149}, \hyperpage{155}
\subitem array, \hyperpage{54}
\item insertion, \hyperpage{161}
\item {\sc Insertion Sort}, \hyperpage{140}
\item instance, \hyperpage{102}, \hyperpage{131, 132},
\hyperpage{144}
\subitem NO, \hyperpage{132}
\subitem size, \hyperpage{133}
\subitem YES, \hyperpage{132}
\item instar, \hyperpage{42}
\item instruction, \hyperpage{17}, \hyperpage{25}, \hyperpage{27},
\hyperpage{71}
\subitem basic, \hyperpage{32}
\item {\tt int}, \hyperpage{20}, \hyperpage{26}, \hyperpage{31},
\hyperpage{110}
\item {\tt Integer}, \hyperpage{72}, \hyperpage{110}
\item integer, \hyperpage{30}, \hyperpage{33}, \hyperpage{58},
\hyperpage{133}, \hyperpage{144}
\item integer rounding, \hyperpage{34}, \hyperpage{36}
\item integration, \hyperpage{146}
\item interface, \hyperpage{28}, \hyperpage{67}
\subitem implementation, \hyperpage{29}
\item interpreter, \hyperpage{25}
\item inverse, \hyperpage{156}
\item IO, \hyperpage{17}
\item isomer, \hyperpage{92}
\item iteration, \hyperpage{119}, \hyperpage{167}
\subitem successive, \hyperpage{91}
\item {\tt Iterator}, \hyperpage{110, 111}
\subitem {\tt .hasNext()}, \hyperpage{110}
\subitem {\tt .next()}, \hyperpage{110}
\item itinerary, \hyperpage{122, 123}
\indexspace
\item Java, \hyperpage{19}, \hyperpage{25}, \hyperpage{27},
\hyperpage{53}, \hyperpage{109}
\subitem compiler, \hyperpage{30}
\subitem exception, \hyperpage{151, 152}
\subitem function, \hyperpage{29}
\subitem programming, \hyperpage{77}
\item {\tt java}, \hyperpage{26}
\item {\tt javac}, \hyperpage{26}
\item {\tt jmp}, \hyperpage{71}
\item Johnson, D., \hyperpage{133}
\item junction, \hyperpage{125}
\indexspace
\item key, \hyperpage{75, 76}, \hyperpage{78--80}
\indexspace
\item label, \hyperpage{88}
\item Landis, \hyperpage{154}
\item language, \hyperpage{18}, \hyperpage{93}
\subitem assembly, \hyperpage{71}
\subitem declarative, \hyperpage{19}
\subitem formal, \hyperpage{26}, \hyperpage{93}
\subsubitem semantics, \hyperpage{95}
\subsubitem syntax, \hyperpage{94}
\subitem imperative, \hyperpage{19}
\subitem machine, \hyperpage{139}
\subitem meaning, \hyperpage{93}
\subitem natural, \hyperpage{26}, \hyperpage{93}, \hyperpage{125}
\subsubitem semantics, \hyperpage{96}
\subsubitem syntax, \hyperpage{95}
\subitem programming, \hyperpage{25}, \hyperpage{93}
\subitem universal, \hyperpage{19}
\item leaf, \hyperpage{88}, \hyperpage{94, 95}, \hyperpage{124},
\hyperpage{126}, \hyperpage{139}, \hyperpage{149},
\hyperpage{154}
\subitem deepest, \hyperpage{127}
\subitem rightmost, \hyperpage{127}
\item left, \hyperpage{160}
\item level, \hyperpage{88}, \hyperpage{160}
\item library, \hyperpage{36}, \hyperpage{62}
\subitem standard, \hyperpage{34}, \hyperpage{69}
\item LIFO, \hyperpage{67}
\item line graph, \hyperpage{44}
\item linear
\subitem independence, \hyperpage{92}
\subitem time, \hyperpage{164}
\item link, \hyperpage{97}
\item {\tt LinkedList}, \hyperpage{79, 80}, \hyperpage{110}
\item Linux, \hyperpage{25}
\item LISP, \hyperpage{19}
\item list, \hyperpage{58}, \hyperpage{75}, \hyperpage{77}
\subitem access, \hyperpage{61}
\subitem adjacency, \hyperpage{54}, \hyperpage{102},
\hyperpage{118}
\subitem arc, \hyperpage{54}
\subitem concatenate, \hyperpage{61}
\subitem doubly-linked, \hyperpage{59}
\subitem edge, \hyperpage{54}
\subitem find, \hyperpage{64}
\subitem find next, \hyperpage{64}
\subitem first, \hyperpage{63}
\subitem implementation, \hyperpage{61}
\subitem insertion, \hyperpage{60}
\subitem Java, \hyperpage{61}
\subitem last, \hyperpage{63}
\subitem linked, \hyperpage{109, 110}, \hyperpage{118},
\hyperpage{149}
\subitem next, \hyperpage{58}, \hyperpage{61}
\subitem operation, \hyperpage{59}
\subitem placeholder, \hyperpage{59}
\subitem pop, \hyperpage{61}, \hyperpage{63}
\subitem previous, \hyperpage{59}, \hyperpage{61}
\subitem print, \hyperpage{64}
\subitem push, \hyperpage{61}, \hyperpage{63}
\subitem read, \hyperpage{61}
\subitem removal, \hyperpage{60}
\subitem singly-linked, \hyperpage{58}, \hyperpage{61},
\hyperpage{78}, \hyperpage{83}
\subsubitem find, \hyperpage{83}
\subsubitem implementation, \hyperpage{80}
\subitem size, \hyperpage{63}
\subitem write, \hyperpage{61}
\item logistics, \hyperpage{163}
\item {\tt long}, \hyperpage{26}, \hyperpage{31}
\item {\sc Longest Path Problem}, \hyperpage{164}
\item loop, \hyperpage{18}, \hyperpage{20}, \hyperpage{22},
\hyperpage{31}, \hyperpage{36}, \hyperpage{41},
\hyperpage{56}, \hyperpage{80}, \hyperpage{102},
\hyperpage{139}
\subitem incomplete
\subsubitem complexity, \hyperpage{57}
\subitem infinite, \hyperpage{104, 105}
\subitem inner, \hyperpage{167}
\subitem internal, \hyperpage{167}
\subitem outer, \hyperpage{167}
\subitem simple, \hyperpage{56}
\subitem termination, \hyperpage{56}
\item LPP, \hyperpage{164}
\item LSP, \hyperpage{164}
\indexspace
\item MacOSX, \hyperpage{25}
\item {\tt main}, \hyperpage{32}
\item {\tt main}, \hyperpage{27}, \hyperpage{30, 31}, \hyperpage{33},
\hyperpage{61}, \hyperpage{78}
\item {\tt Map}, \hyperpage{72}
\item map, \hyperpage{71}, \hyperpage{77}
\item {\tt Math}, \hyperpage{36}
\item matrix, \hyperpage{32}, \hyperpage{53}
\item Matyasevi\v{c}, \hyperpage{19}
\item max, \hyperpage{149}, \hyperpage{155}, \hyperpage{159},
\hyperpage{161}
\item {\sc Max Clique}, \hyperpage{134}
\item {\sc Max Stable}, \hyperpage{135}
\item maximization, \hyperpage{132}
\item maximum, \hyperpage{37}
\item maze, \hyperpage{125}
\item median, \hyperpage{132}, \hyperpage{144}
\item member, \hyperpage{31}
\item memory, \hyperpage{18}, \hyperpage{20}, \hyperpage{30},
\hyperpage{104}
\subitem access, \hyperpage{53}
\subitem address, \hyperpage{26, 27}, \hyperpage{31},
\hyperpage{58}, \hyperpage{71}, \hyperpage{75}
\subitem allocation, \hyperpage{32}, \hyperpage{63}
\subsubitem automatic, \hyperpage{61}
\subsubitem manual, \hyperpage{61}
\subitem block, \hyperpage{53}
\subitem cell, \hyperpage{58}, \hyperpage{65}
\subitem object, \hyperpage{62}
\subitem size, \hyperpage{77}
\subitem swap, \hyperpage{55}
\item merge, \hyperpage{141}
\subitem efficiently, \hyperpage{141}
\item {\sc MergeSort}, \hyperpage{141}
\item {\sc MergeSort}, \hyperpage{141, 142}, \hyperpage{144}
\item method, \hyperpage{21}, \hyperpage{27}
\subitem depth-dependent, \hyperpage{159}
\subitem static, \hyperpage{109}
\item min, \hyperpage{149}, \hyperpage{155}
\item minimization, \hyperpage{132}
\item minimum, \hyperpage{37}, \hyperpage{140}
\item {\sc Minimum Spanning Tree}, \hyperpage{132}
\item minor, \hyperpage{50}
\item Minsky, \hyperpage{18}
\item model of computation, \hyperpage{18}
\item molecule, \hyperpage{45}, \hyperpage{92}
\item Montague, R., \hyperpage{96}
\item move
\subitem array, \hyperpage{54}
\item MST, \hyperpage{128}, \hyperpage{132}
\item multidigraph, \hyperpage{41}
\item multigraph, \hyperpage{42}
\indexspace
\item NCP, \hyperpage{164}, \hyperpage{171}
\item neighbour, \hyperpage{124}
\item neighbourhood, \hyperpage{43}
\subitem outgoing, \hyperpage{42}
\item networj
\subitem event, \hyperpage{122}
\item network, \hyperpage{97}
\subitem communication, \hyperpage{163}
\subitem distance, \hyperpage{97}
\subitem event, \hyperpage{123}
\subitem power, \hyperpage{163}
\item {\tt new}, \hyperpage{61}
\item node, \hyperpage{41}, \hyperpage{59}, \hyperpage{123},
\hyperpage{139}, \hyperpage{144}, \hyperpage{149}
\subitem child, \hyperpage{149}
\subitem degree, \hyperpage{88}
\subitem depth, \hyperpage{160}
\subitem extraction, \hyperpage{159}
\subitem labelled, \hyperpage{122}
\subitem leaf, \hyperpage{139}, \hyperpage{150}, \hyperpage{152}
\subitem leftmost, \hyperpage{153}
\subitem level, \hyperpage{162}
\subitem non-leaf, \hyperpage{149, 150}
\subitem non-root, \hyperpage{149}
\subitem order, \hyperpage{156}
\subitem pair, \hyperpage{170}
\subitem parent, \hyperpage{149}, \hyperpage{166}
\subitem reached, \hyperpage{166}, \hyperpage{169}
\subitem root, \hyperpage{159}
\subitem scanning, \hyperpage{117}
\subitem settled, \hyperpage{166, 167}
\subitem source, \hyperpage{166}
\subitem unsettled, \hyperpage{169}
\item {\bf NP}, \hyperpage{133}
\item {\bf NP}, \hyperpage{134}
\item {\bf NP}-complete, \hyperpage{134}
\item {\bf NP}-hard, \hyperpage{134}
\item {\bf NP}-hard, \hyperpage{135}
\item {\tt null}, \hyperpage{150}
\item {\tt null}, \hyperpage{58}, \hyperpage{65}, \hyperpage{81}
\indexspace
\item object, \hyperpage{21}, \hyperpage{27, 28}, \hyperpage{31, 32},
\hyperpage{53}, \hyperpage{62}, \hyperpage{110}
\subitem address, \hyperpage{65}
\subitem equal, \hyperpage{77}
\subitem interface, \hyperpage{29}
\subitem member, \hyperpage{31}
\subitem type, \hyperpage{131}
\item operand, \hyperpage{95}
\item operating system, \hyperpage{71}
\item operating system, \hyperpage{32}, \hyperpage{55}
\item operator, \hyperpage{95}
\subitem $k$-ary, \hyperpage{106}
\subitem binary, \hyperpage{94}
\subitem closed, \hyperpage{106}
\subitem dot, \hyperpage{31}
\subitem precedence, \hyperpage{94}
\subitem unary, \hyperpage{94}
\item order, \hyperpage{47}, \hyperpage{105}
\subitem alphabetical, \hyperpage{75}
\subitem linear, \hyperpage{160}
\subitem natural, \hyperpage{137}, \hyperpage{161}
\subitem rank, \hyperpage{75}
\subitem relation, \hyperpage{150}
\subitem topological, \hyperpage{125}
\subitem total, \hyperpage{138}
\item ordered
\subitem totally, \hyperpage{150}
\item orders, \hyperpage{109}
\item oriented, \hyperpage{165}
\item OS, \hyperpage{32}, \hyperpage{71}, \hyperpage{104}
\item outdegree, \hyperpage{42}
\item output, \hyperpage{131}, \hyperpage{134}
\subitem algorithmic, \hyperpage{146}
\item outstar, \hyperpage{42}
\item overloading, \hyperpage{81}
\indexspace
\item {\bf P}, \hyperpage{133}
\item P2PSPP, \hyperpage{164}, \hyperpage{170}
\item pair, \hyperpage{71}, \hyperpage{122}
\item paradox, \hyperpage{147}
\item paraffin, \hyperpage{93}
\item parent, \hyperpage{160}
\item parsing, \hyperpage{95}, \hyperpage{125}
\item partition, \hyperpage{142}
\item Pascal, \hyperpage{19}, \hyperpage{25}
\item passing
\subitem by reference, \hyperpage{30}
\subitem by value, \hyperpage{110}
\subitem by reference, \hyperpage{110}
\subitem by value, \hyperpage{30}
\item path, \hyperpage{47}, \hyperpage{88}, \hyperpage{119, 120},
\hyperpage{123--125}, \hyperpage{139}, \hyperpage{149},
\hyperpage{163}
\subitem all, \hyperpage{164}
\subitem directed, \hyperpage{59}, \hyperpage{123}
\subitem edge, \hyperpage{163}
\subitem endpoint, \hyperpage{47}
\subitem length, \hyperpage{118}, \hyperpage{120}
\subitem longest, \hyperpage{88}, \hyperpage{154}, \hyperpage{164}
\subitem not unique, \hyperpage{165}
\subitem shortest, \hyperpage{123}, \hyperpage{163},
\hyperpage{165}, \hyperpage{170}
\subsubitem weight, \hyperpage{166, 167}
\subitem simple, \hyperpage{46, 47}, \hyperpage{59},
\hyperpage{164}
\subitem unique, \hyperpage{92}, \hyperpage{120}
\item Peano
\subitem axioms, \hyperpage{114}
\item Peano, G., \hyperpage{114}
\item perl, \hyperpage{25}
\item permutation, \hyperpage{105}, \hyperpage{108}, \hyperpage{138},
\hyperpage{140}
\subitem action, \hyperpage{105}
\subitem cycle, \hyperpage{107}, \hyperpage{139}
\subitem identity, \hyperpage{139}
\subitem inverse, \hyperpage{106}
\subitem list, \hyperpage{108}
\subitem product, \hyperpage{106}
\item pivot, \hyperpage{142--144}
\item placeholder, \hyperpage{59}, \hyperpage{63}
\item point of entry, \hyperpage{32}, \hyperpage{35}, \hyperpage{61},
\hyperpage{110}
\item {\sc Point-to-Point SPP}, \hyperpage{164}
\item pointer, \hyperpage{110}
\item polynomial, \hyperpage{19}, \hyperpage{133}
\item polynomial time, \hyperpage{134}
\item pop, \hyperpage{61}
\item {\tt popFront()}, \hyperpage{120}
\item {\tt popFront}, \hyperpage{159}
\item {\tt popMax}, \hyperpage{159}
\item position
\subitem correct, \hyperpage{140}
\item power, \hyperpage{97}
\subitem series
\subsubitem $\log$, \hyperpage{146}
\item Pr\"ufer, \hyperpage{90}
\item predecessor, \hyperpage{167}, \hyperpage{170}
\item preprocessor, \hyperpage{27}
\item {\sc Prim's Algorithm}, \hyperpage{128}
\item Prim, R., \hyperpage{128}
\item prime, \hyperpage{79}
\item print, \hyperpage{34}, \hyperpage{36}
\item priority, \hyperpage{159}, \hyperpage{169}
\subitem higher, \hyperpage{160, 161}
\subitem highest, \hyperpage{159}, \hyperpage{161}
\item priority queue, \hyperpage{67}
\item private, \hyperpage{27}, \hyperpage{35}
\item probability, \hyperpage{57}
\item probability distribution, \hyperpage{57}
\item problem, \hyperpage{21, 22}
\subitem case, \hyperpage{131}
\subitem class, \hyperpage{133}
\subitem complex, \hyperpage{141}
\subitem complexity, \hyperpage{133}
\subitem decidable, \hyperpage{21, 22}
\subitem decision, \hyperpage{19}, \hyperpage{131, 132},
\hyperpage{137}
\subsubitem abstract, \hyperpage{132}
\subitem instance, \hyperpage{102}, \hyperpage{131}
\subitem minimization, \hyperpage{132}
\subitem MST, \hyperpage{132}
\subsubitem complexity, \hyperpage{133}
\subitem {\bf NP}-complete, \hyperpage{138}
\subitem {\bf NP}-hard, \hyperpage{135}
\subitem optimization, \hyperpage{132}, \hyperpage{135}
\subsubitem abstract, \hyperpage{132}
\subitem size, \hyperpage{141}
\subitem undecidable, \hyperpage{132}
\item procedure
\subitem recursive, \hyperpage{101}
\item product, \hyperpage{145, 146}
\subitem associative, \hyperpage{106}
\item program, \hyperpage{17, 18}
\subitem execution, \hyperpage{58}
\item programming language, \hyperpage{18}
\item Prolog, \hyperpage{19}
\item protein, \hyperpage{45}
\item pseudocode, \hyperpage{102}, \hyperpage{128}
\subitem recursive, \hyperpage{137}
\item public, \hyperpage{27}, \hyperpage{30}, \hyperpage{32},
\hyperpage{35}
\item {\tt public}, \hyperpage{63}
\item push, \hyperpage{61}
\item {\tt pushBack()}, \hyperpage{120}
\item python, \hyperpage{25}
\indexspace
\item query
\subitem search, \hyperpage{149}
\item queue, \hyperpage{65}, \hyperpage{67}, \hyperpage{119, 120},
\hyperpage{123}, \hyperpage{159}
\subitem applications, \hyperpage{67}
\subitem beginning, \hyperpage{65}
\subitem delete, \hyperpage{65}
\subitem empty, \hyperpage{65}
\subitem end, \hyperpage{65}
\subitem insert, \hyperpage{65}
\subitem insertion, \hyperpage{65}
\subitem placeholder, \hyperpage{66}
\subitem priority, \hyperpage{67}, \hyperpage{159}, \hyperpage{164},
\hyperpage{166}, \hyperpage{169}
\subitem removal, \hyperpage{65}
\subitem retrieve, \hyperpage{65}
\subitem size, \hyperpage{65}
\item {\sc QuickSort}, \hyperpage{142}, \hyperpage{144}
\indexspace
\item RAM, \hyperpage{17, 18}, \hyperpage{20}
\item random
\subitem event, \hyperpage{57}
\item random access, \hyperpage{54}