ENCYCLOPEDIA OF ALGORITHMS

Ming-Yang Kao (Ed.)
With 183. Figures and 38. Tables With 4075. References for Further Reading.

TABLE OF CONTENTS

// absolute_page_number=1 Preface 5 About the Editor 28 List of Contributors 35 // absolute_page_number=0 ÁËÎÊ_Ã A * Abelian Hidden Subgroup Problem 1 * Adaptive Partitions 4 * Adwords Pricing 7 * Algorithm DC-Tree for k Servers on Trees 9 * Algorithmic Cooling 11 * Algorithmic Mechanism Design 16 * Algorithms for Spanners in Weighted Graphs 25 * All Pairs Shortest Paths in Sparse Graphs 28 * All Pairs Shortest Paths via Matrix Multiplication 31 * Alternative Performance Measures in Online Algorithms 34 * Analyzing Cache Misses 37 * Applications of Geometric Spanner Networks 40 * Approximate Dictionaries 43 * Approximate Regular Expression Matching 46 * ApproximateTandem Repeats 48 * Approximating Metric Spaces by Tree Metrics 51 * Approximations of Bimatrix Nash Equilibria 53 * ApproximationSchemes for Bin Packing 57 * ApproximationSchemes for Planar Graph Problems 59 * Arbitrage in Frictional Foreign Exchange Market 62 * ArithmeticCoding for Data Compression 65 * Assignment Problem 68 * Asynchronous Consensus Impossibility 70 * Atomic Broadcast 73 * Attribute-Efficient Learning 77 * Automated Search Tree Generation 78 ÁËÎÊ_Ã B * Backtracking Based k-SAT Algorithms 83 * Best Response Algorithms for Selfish Routing 86 * Bidimensionality 88 * Binary Decision Graph 90 * TableofContents IX * Bin Packing 94 * Boosting Textual Compression 97 * Branchwidth of Graphs 101 * Broadcasting in Geometric Radio Networks 105 * B-trees 108 * Burrows–WheelerTransform 112 * Byzantine Agreement 116 ÁËÎÊ_Ã C * Cache-Oblivious B-Tree 121 * Cache-Oblivious Model 123 * Cache-Oblivious Sorting 126 * Causal Order, Logical Clocks, State Machine Replication 129 * Certificate Complexity and Exact Learning 131 * Channel Assignment and Routing in Multi-Radio Wireless Mesh Networks 134 * Circuit Partitioning: A Network-Flow-Based Balanced Min-Cut Approach 138 * Circuit Placement 143 * Circuit Retiming 146 * Circuit Retiming: An Incremental Approach 149 * Clock Synchronization 152 * Closest String and Substring Problems 155 * Closest Substring 156 * Color Coding 158 * Communicationin Ad Hoc Mobile Networks Using Random Walks 161 * Competitive Auction 165 * Complexity of Bimatrix Nash Equilibria 166 * Complexity of Core 168 * Compressed Pattern Matching 171 * Compressed Suffix Array 174 * Compressed Text Indexing 176 * Compressing Integer Sequences and Sets 178 * Computing Pure Equilibria in the Game of Parallel Links 183 * Concurrent Programming, Mutual Exclusion 188 * Connected DominatingSet 191 * Connectivity and Fault-Tolerance in Random Regular Graphs 195 * Consensus with Partial Synchrony 198 * Constructing a Galled Phylogenetic Network 202 * CPU Time Pricing 205 * Critical Range for Wireless Networks 207 * Cryptographic Hardness of Learning 210 * Cuckoo Hashing 212 ÁËÎÊ_Ã D * Data Migration 217 * Data Reduction for Dominationin Graphs 220 * Decoding Reed–Solomon Codes 222 * Decremental All-Pairs Shortest Paths 226 * Degree-Bounded Planar Spanner with Low Weight 228 * Degree-Bounded Trees 231 * Deterministic Broadcasting in Radio Networks 233 * Deterministic Searching on the Line 235 * Dictionary-Based Data Compression 236 * Dictionary Matching and Indexing (Exact and with Errors) 240 * Dilation of Geometric Networks 244 * Directed Perfect Phylogeny (Binary Characters) 246 * Direct Routing Algorithms 248 * Distance-Based Phylogeny Reconstruction (Fast-Converging) 251 * Distance-Based Phylogeny Reconstruction (Optimal Radius) 253 * Distributed Algorithms for Minimum Spanning Trees 256 * Distributed Vertex Coloring 258 * Dynamic Trees 260 ÁËÎÊ_Ã E * Edit Distance Under Block Operations 265 * Efficient Methods for Multiple Sequence Alignment with Guaranteed Error Bounds 267 * Engineering Algorithms for Computational Biology 270 * Engineering Algorithms for Large Network Applications 272 * Engineering GeometricAlgorithms 274 * Equivalence Between Priority Queues and Sorting 278 * Euclidean Traveling Salesperson Problem 281 * Exact Algorithms for Dominating Set 284 * Exact Algorithms for General CNF SAT 286 * Exact Graph Coloring Using Inclusion–Exclusion 289 * Experimental Methods for Algorithm Analysis 290 * External Sorting and Permuting 291 ÁËÎÊ_Ã F * Facility Location 299 * Failure Detectors 304 * False-Name-Proof Auction 308 * Fast Minimal Triangulation 310 * Fault-Tolerant Quantum Computation 313 * Floorplan and Placement 317 * Flow Time Minimization 320 * FPGA Technology Mapping 322 * Fractional Packing and Covering Problems 326 * Fully Dynamic All Pairs Shortest Paths 329 * Fully Dynamic Connectivity 331 * Fully Dynamic Connectivity: Upper and Lower Bounds 332 * Fully Dynamic Higher Connectivity 335 * Fully Dynamic Higher Connectivity for Planar Graphs 337 * Fully Dynamic Minimum Spanning Trees 339 * Fully Dynamic Planarity Testing 342 * Fully Dynamic Transitive Closure 343 ÁËÎÊ_Ã G * Gate Sizing 345 * General Equilibrium 347 * Generalized Steiner Network 349 * GeneralizedTwo-Server Problem 351 * Generalized Vickrey Auction 353 * Geographic Routing 355 * Geometric Dilation of Geometric Networks 358 * Geometric Spanners 360 * Gomory–Hu Trees 364 * Graph Bandwidth 366 * Graph Coloring 368 * Graph Connectivity 371 * Graph Isomorphism 373 * Greedy Approximation Algorithms 376 * Greedy Set-Cover Algorithms 379 * 1974–1979, Chvatal, Johnson, Lovasz, Stein ÁËÎÊ_Ã H * Hamilton Cycles in Random Intersection Graphs 383 * Hardness of Proper Learning 385 * High Performance Algorithm Engineering for Large-scale Problems 387 * Hospitals/Residents Problem 390 * Implementation Challenge for Shortest Paths 395 * Implementation Challenge for TSP Heuristics 398 * Implementing Shared Registers in Asynchronous Message-Passing Systems 400 * Incentive Compatible Selection 403 * Independent Sets in Random Intersection Graphs 405 * Indexed ApproximateString Matching 408 * Inductive Inference 411 * I/O-model 413 ÁËÎÊ_Ã K * Kinetic Data Structures 417 * Knapsack 419 ÁËÎÊ_Ã L * Learning with the Aid of an Oracle 423 * Learning Automata 425 * Learning Constant-Depth Circuits 429 * Learning DNF Formulas 431 * Learning Heavy Fourier Coefficients of Boolean Functions 434 * Learning with Malicious Noise 436 * Learning Significant Fourier Coefficients over Finite Abelian Groups 438 * LEDA: a Library of Efficient Algorithms 442 * Leontief Economy Equilibrium 444 * Linearity Testing/Testing Hadamard Codes 446 * Linearizability 450 * List Decoding near Capacity: Folded RS Codes 453 * List Scheduling 455 * Load Balancing 457 * Local Alignment (with Affine Gap Weights) 459 * Local Alignment (with Concave Gap Weights) 461 * Local Approximation of Covering and Packing Problems 463 * Local Computation in Unstructured Radio Networks 466 * Local Search Algorithms for kSAT 468 * Local Search for K-medians and Facility Location 470 * Lower Bounds for Dynamic Connectivity 473 * Low Stretch Spanning Trees 477 * LP Decoding 478 ÁËÎÊ_Ã M * Majority Equilibrium 483 * Market Games and Content Distribution 485 * Max Cut 489 * Maximum Agreement Subtree (of 2 Binary Trees) 492 * Maximum Agreement Subtree (of 3 or More Trees) 495 * Maximum Agreement Supertree 497 * Maximum Compatible Tree 499 * Maximum-Density Segment 502 * Maximum Matching 504 * Maximum-scoringSegment with Length Restrictions 506 * Maximum Two-Satisfiability 507 * Max Leaf Spanning Tree 511 * Metrical Task Systems 514 * Metric TSP 517 * Minimum Bisection 519 * Minimum Congestion Redundant Assignments 522 * Minimum Energy Broadcastingin Wireless Geometric Networks 526 * Minimum Energy Cost Broadcastingin Wireless Networks 528 * Minimum Flow Time 531 * Minimum GeometricSpanning Trees 533 * Minimum k-Connected Geometric Networks 536 * Minimum Makespan on UnrelatedMachines 539 * Minimum Spanning Trees 541 * Minimum Weighted CompletionTime 544 * Minimum Weight Triangulation 546 * Mobile Agents and Exploration 548 * Multicommodity Flow, Well-linked Terminals and Routing Problems 551 * Multicut 554 * MultidimensionalCompressed Pattern Matching 556 * Multidimensional String Matching 559 * Multi-level Feedback Queues 562 * Multiple Unit Auctions with Budget Constraint 563 * Multiplex PCR for Gap Closing (Whole-genome Assembly) 565 * Multiway Cut 567 ÁËÎÊ_Ã N * Nash Equilibria and Dominant Strategies in Routing 571 * Nearest Neighbor Interchange and Related Distances 573 * Negative Cycles in Weighted Digraphs 576 * Non-approximability of Bimatrix Nash Equilibria 578 * Non-shared Edges 579 * Nucleolus 581 ÁËÎÊ_Ã O * Oblivious Routing 585 * Obstacle Avoidance Algorithms in Wireless Sensor Networks 588 * O(log logn)-competitive Binary Search Tree 592 * Online Interval Coloring 594 * Online List Update 598 * Online Paging and Caching 601 * Optimal Probabilistic Synchronous Byzantine Agreement 604 * Optimal Stable Marriage 606 ÁËÎÊ_Ã P * P2P 611 * Packet Routing 616 * Packet Switching in Multi-Queue Switches 618 * Packet Switching in Single Buffer 621 * PAC Learning 622 * PageRank Algorithm 624 * Paging 625 * Parallel Algorithms for Two Processors Precedence Constraint Scheduling 627 * Parallel Connectivity and Minimum Spanning Trees 629 * ParameterizedAlgorithms for Drawing Graphs 631 * ParameterizedMatching 635 * ParameterizedSAT 639 * Peptide De Novo Sequencingwith MS/MS 640 * Perceptron Algorithm 642 * Perfect Phylogeny (Bounded Number of States) 644 * Perfect Phylogeny Haplotyping 647 * Performance-Driven Clustering 650 * Phylogenetic Tree Construction from a Distance Matrix 651 * Planar Geometric Spanners 653 * Planarity Testing 656 * Point Pattern Matching 657 * Position Auction 660 * Predecessor Search 661 * Price of Anarchy 665 * Price of Anarchy for Machines Models 667 * Probabilistic Data Forwarding in Wireless Sensor Networks 671 ÁËÎÊ_Ã Q * Quantization of Markov Chains 677 * Quantum Algorithm for Checking Matrix Identities 680 * Quantum Algorithm for the Collision Problem 682 * Quantum Algorithm for the Discrete Logarithm Problem 683 * Quantum Algorithm for Element Distinctness 686 * Quantum Algorithm for Factoring 689 * Quantum Algorithm for Finding Triangles 690 * Quantum Algorithm for the Parity Problem 693 * Quantum Algorithms for Class Group of a Number Field 694 * Quantum Algorithm for Search on Grids 696 * Quantum Algorithm for Solving the Pell’s Equation 698 * Quantum Approximation of the Jones Polynomial 700 * Quantum Dense Coding 703 * Quantum Error Correction 705 * Quantum Key Distribution 708 * Quantum Search 712 * Quorums 715 ÁËÎÊ_Ã R * Radiocoloring in Planar Graphs 721 * Randomizationin Distributed Computing 723 * RandomizedBroadcastingin Radio Networks 725 * RandomizedEnergy Balance Algorithms in Sensor Networks 728 * RandomizedGossiping in Radio Networks 731 * RandomizedMinimum Spanning Tree 732 * RandomizedParallel Approximationsto Max Flow 734 * RandomizedRounding 737 * RandomizedSearching on Rays or the Line 740 * Random Planted 3-SAT 742 * Ranked Matching 744 * Rank and Select Operations on Binary Strings 748 * Rate-MonotonicScheduling 751 * Rectilinear Spanning Tree 754 * Rectilinear Steiner Tree 757 * Registers 761 * Regular Expression Indexing 764 * Regular Expression Matching 768 * Reinforcement Learning 771 * Renaming 774 * RNA Secondary Structure Boltzmann Distribution 777 * RNA Secondary Structure Prediction Including Pseudoknots 780 * RNA Secondary Structure Prediction by Minimum Free Energy 782 * Robotics 785 * Robust Geometric Computation 788 * Routing 791 * Routing in GeometricNetworks 793 * Routing in Road Networks with Transit Nodes 796 * R-Trees 800 ÁËÎÊ_Ã S * Schedulers for Optimistic Rate Based Flow Control 803 * Scheduling with Equipartition 806 * Selfish Unsplittable Flows: Algorithms for Pure Equilibria 810 * Self-Stabilization 812 * Separators in Graphs 815 * Sequential Approximate String Matching 818 * Sequential Circuit Technology Mapping 820 * Sequential Exact String Matching 824 * Sequential Multiple String Matching 826 * Set Agreement 829 * Set Cover with Almost Consecutive Ones 832 * Shortest Elapsed Time First Scheduling 834 * Shortest Paths Approaches for Timetable Information 837 * Shortest Paths in Planar Graphs with Negative Weight Edges 838 * Shortest Vector Problem 841 * Similarity between Compressed Strings 843 * Single-Source Fully Dynamic Reachability 846 * Single-Source Shortest Paths 847 * Ski Rental Problem 849 * Slicing Floorplan Orientation 852 * Snapshots in Shared Memory 855 * Sorting Signed Permutations by Reversal (Reversal Distance) 858 * Sorting Signed Permutations by Reversal (Reversal Sequence) 860 * Sorting by Transpositions and Reversals (Approximate Ratio 1.5) 863 * Sparse Graph Spanners 867 * Sparsest Cut 868 * Speed Scaling 870 * Sphere Packing Problem 871 * Squares and Repetitions 874 * Stable Marriage 877 * Stable Marriage and Discrete Convex Analysis 880 * Stable Marriage with Ties and Incomplete Lists 883 * Stable Partition Problem 885 * Stackelberg Games: The Price of Optimum 888 * Statistical Multiple Alignment 892 * Statistical Query Learning 894 * Steiner Forest 897 * Steiner Trees 900 * Stochastic Scheduling 904 * String Sorting 907 * Substring Parsimony 910 * Succinct Data Structures for Parentheses Matching 912 * Succinct Encoding of Permutations: Applications to Text Indexing 915 * Suffix Array Construction 919 * Suffix Tree Construction in Hierarchical Memory 922 * Suffix Tree Construction in RAM 925 * Support Vector Machines 928 * Symbolic Model Checking 932 * Synchronizers, Spanners 935 ÁËÎÊ_Ã T * Table Compression 939 * Tail Bounds for Occupancy Problems 942 * Technology Mapping 944 * Teleportation of Quantum States 947 * Text Indexing 950 * Thresholds of Random k-Sat 954 * Topology Approach in Distributed Computing 956 * Trade-Offs for Dynamic Graph Problems 958 * Traveling Sales Person with Few Inner Points 961 * Tree Compression and Indexing 964 * Treewidth of Graphs 968 * Truthful Mechanisms for One-Parameter Agents 970 * Truthful Multicast 973 * TSP-Based Curve Reconstruction 976 * Two-DimensionalPattern Indexing 979 * Two-DimensionalScaledPattern Matching 982 * Two-Interval Pattern Problems 985 * Two-Level Boolean Minimization 989 ÁËÎÊ_Ã U * UndirectedFeedback Vertex Set 995 * Utilitarian Mechanism Design for Single-Minded Agents 997 ÁËÎÊ_Ã V * Vertex Cover Kernelization 1003 * Vertex Cover Search Trees 1006 * Visualization Techniques for Algorithm Engineering 1008 * Voltage Scheduling 1011 ÁËÎÊ_Ã W * Wait-Free Synchronization 1015 * Weighted Connected DominatingSet 1020 * Weighted Popular Matchings 1023 * Weighted Random Sampling 1024 * Well Separated Pair Decomposition 1027 * Well Separated Pair Decomposition for Unit–Disk Graph 1030 * Wire Sizing 1032 * Work-Function Algorithm for k Servers 1035 // @ Chronological Index 1039 Bibliography 1053 Index 1157