Combinatorial Algorithms

Generation, Enumeration, and Search

Inbunden, Engelska, 1998

AvDonald L. Kreher,Douglas R. Stinson,USA) Kreher, Donald L. (Michigan Technological University, Houghton,Canada) Stinson, Douglas R. (University of Waterloo, Ontario

2 419 kr

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1 229 kr

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This textbook thoroughly outlines combinatorial algorithms for generation, enumeration, and search. Topics include backtracking and heuristic search methods applied to various combinatorial structures, such as:Combinations Permutations Graphs Designs Many classical areas are covered as well as new research topics not included in most existing texts, such as: Group algorithms Graph isomorphism Hill-climbing Heuristic search algorithms This work serves as an exceptional textbook for a modern course in combinatorial algorithms, providing a unified and focused collection of recent topics of interest in the area. The authors, synthesizing material that can only be found scattered through many different sources, introduce the most important combinatorial algorithmic techniques - thus creating an accessible, comprehensive text that students of mathematics, electrical engineering, and computer science can understand without needing a prior course on combinatorics.

Produktinformation

Utgivningsdatum1998-12-18
Mått156 x 234 x 22 mm
Vikt660 g
FormatInbunden
SpråkEngelska
SerieDiscrete Mathematics and Its Applications
Antal sidor342
FörlagTaylor & Francis Inc
ISBN9780849339882

Tillhör följande kategorier

Structures and AlgorithmsWhat are Combinatorial Algorithms?What are Combinatorial Structures?What are Combinatorial Problems?O-NotationAnalysis of AlgorithmsComplexity ClassesData StructuresAlgorithm Design TechniquesGenerating Elementary Combinatorial ObjectsCombinatorial GenerationSubsetsk-Element SubsetsPermutationsMore Topics in Combinatorial GenerationInteger PartitionsSet Partitions, Bell and Stirling NumbersLabeled TreesCatalan FamiliesBacktracking AlgorithmsIntroductionA General Backtrack AlgorithmGenerating All CliquesEstimating the Size of a Backtrack TreeExact CoverBounding FunctionsBranch-and-BoundHeuristic SearchIntroduction to Heuristic AlgorithmsDesign Strategies for Heuristic AlgorithmsA Steepest-Ascent Algorithm for Uniform Graph PartitionA Hill-Climbing Algorithm for Steiner Triple SystemsTwo Heuristic Algorithms for the Knapsack ProblemA Genetic Algorithm for the Traveling Salesman ProblemGroups and SymmetryGroupsPermutation GroupsOrbits of SubsetsCoset RepresentativesOrbits of k-tuplesGenerating Objects Having AutomorphismsComputing IsomorphismIntroductionInvariantsComputing CertificatesIsomorphism of Other StructuresBasis ReductionIntroductionTheoretical DevelopmentA Reduced Basis AlgorithmSolving Systems of Integer EquationsThe Merkle-Hellman Knapsack SystemBibliographyAlgorithm IndexProblem IndexIndex

"Very clear exposition. I jumped right into [the] heuristic methods chapter and understood it almost instantly..."- Dean H. Judson, Ph.D., Nevada State Demographer"…book serves as an introduction to the basic problems and methods…style is clear, transparent…The algorithmic problems are always considered and they are in the center of the discussion…has a fresh approach to combinatorics that is available for readers, students in computer science, electrical engineering without any background in mathematics."- Péter Hajnal, Acta Science Math

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