Combinatorial Algorithms: Generation, Enumeration, and SearchCRC Press, 18 Ara 1998 - 344 sayfa 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: Many classical areas are covered as well as new research topics not included in most existing texts, such as: 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. |
İçindekiler
Structures and Algorithms | 1 |
Exercises | 26 |
More Topics in Combinatorial Generation | 68 |
5 | 103 |
8 | 144 |
Heuristic Search | 160 |
151 | 175 |
Groups and Symmetry | 191 |
Computing Isomorphism | 237 |
Basis Reduction | 277 |
311 | |
325 | |
Diğer baskılar - Tümünü görüntüle
Combinatorial Algorithms: Generation, Enumeration, and Search Donald L. Kreher,Douglas R. Stinson Sınırlı önizleme - 2020 |
Combinatorial Algorithms: Generation, Enumeration, and Search Donald L. Kreher,Douglas R. Stinson Sınırlı önizleme - 2020 |
Sık kullanılan terimler ve kelime öbekleri
a₁ Algorithm 8.2 An,k array automorphism group b₁ backtracking algorithm bijection binary block bounding function called certificate combinatorial compute constructed cost CurW define denote edges elements entries Equation example external feasible solution formula G₁ given global graph G Gray code group G Hamiltonian circuit Hence heuristic hill-climbing algorithm isomorphism iteration k-element subsets k-subsets Knapsack optimization lattice Lemma Let G lexicographic order loop maximum clique method Mn(x mountain range n-tuple neighborhood search node NP-complete obtain operation optimal solution optimization problem OptP orbit partial solution partition permutation group positive integer presented as Algorithm problem instance procedure profit proof pruning random ranking and unranking recursive result rithm running Section sequence set system simulated annealing solve space tree Steiner triple system subgroup successor Suppose t₁ Table tabu search Theorem Traveling Salesman problem unranking algorithms vectors vertex wt(M X₁ Xbest