Donald L. Kreher, Douglas R. Stinson

Combinatorial Algorithms (eBook, ePUB)

Generation, Enumeration, and Search

• Format: ePub

Produktbeschreibung

Combinatorial Algorithms: Generation, Enumeration, and Search thoroughly outlines and analyzes combinatorial algorithms for generation, enumeration, and search applications.

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Produktdetails

• Verlag: Taylor & Francis
• Seitenzahl: 344
• Erscheinungstermin: 23. September 2020
• Englisch
• ISBN-13: 9781000141375
• Artikelnr.: 60149747

Autorenporträt

Kreher, Donald L.; Stinson, Douglas R.

Inhaltsangabe

Structures and Algorithms
What are Combinatorial Algorithms?
What are Combinatorial Structures?
What are Combinatorial Problems?
O-Notation
Analysis of Algorithms
Complexity Classes
Data Structures
Algorithm Design Techniques
Generating Elementary Combinatorial Objects
Combinatorial Generation
Subsets
k-Element Subsets
Permutations
More Topics in Combinatorial Generation
Integer Partitions
Set Partitions, Bell and Stirling Numbers
Labeled Trees
Catalan Families
Backtracking Algorithms
Introduction
A General Backtrack Algorithm
Generating All Cliques
Estimating the Size of a Backtrack Tree
Exact Cover
Bounding Functions
Branch-and-Bound
Heuristic Search
Introduction to Heuristic Algorithms
Design Strategies for Heuristic Algorithms
A Steepest-Ascent Algorithm for Uniform Graph Partition
A Hill-Climbing Algorithm for Steiner Triple Systems
Two Heuristic Algorithms for the Knapsack Problem
A Genetic Algorithm for the Traveling Salesman Problem
Groups and Symmetry
Groups
Permutation Groups
Orbits of Subsets
Coset Representatives
Orbits of k-tuples
Generating Objects Having Automorphisms
Computing Isomorphism
Introduction
Invariants
Computing Certificates
Isomorphism of Other Structures
Basis Reduction
Introduction
Theoretical Development
A Reduced Basis Algorithm
Solving Systems of Integer Equations
The Merkle-Hellman Knapsack System
Bibliography
Algorithm Index
Problem Index
Index