Автор: Chartrand Gary Название: Graphs & Digraphs ISBN: 1498735762 ISBN-13(EAN): 9781498735766 Издательство: Taylor&Francis Рейтинг: Цена: 16078.00 р. Наличие на складе: Нет в наличии.
Описание:
Graphs & Digraphs masterfully employs student-friendly exposition, clear proofs, abundant examples, and numerous exercises to provide an essential understanding of the concepts, theorems, history, and applications of graph theory.
Fully updated and thoughtfully reorganized to make reading and locating material easier for instructors and students, the Sixth Edition of this bestselling, classroom-tested text:
Adds more than 160 new exercises
Presents many new concepts, theorems, and examples
Includes recent major contributions to long-standing conjectures such as the Hamiltonian Factorization Conjecture, 1-Factorization Conjecture, and Alspach's Conjecture on graph decompositions
Supplies a proof of the perfect graph theorem
Features a revised chapter on the probabilistic method in graph theory with many results integrated throughout the text
At the end of the book are indices and lists of mathematicians' names, terms, symbols, and useful references. There is also a section giving hints and solutions to all odd-numbered exercises. A complete solutions manual is available with qualifying course adoption.
Graphs & Digraphs, Sixth Edition remains the consummate text for an advanced undergraduate level or introductory graduate level course or two-semester sequence on graph theory, exploring the subject's fascinating history while covering a host of interesting problems and diverse applications.
Описание: Presents a study of the interrelationships among operator calculus, graph theory, and quantum probability in a unified manner, with significant emphasis on symbolic computations and an eye toward applications in computer science. In this title, examples are put forward in Mathematica, together with packages for performing symbolic computations.
Автор: Hammack Название: Handbook Of Product Graphs 2E ISBN: 1138199087 ISBN-13(EAN): 9781138199088 Издательство: Taylor&Francis Рейтинг: Цена: 7961.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
Handbook of Product Graphs, Second Edition examines the dichotomy between the structure of products and their subgraphs. It also features the design of efficient algorithms that recognize products and their subgraphs and explores the relationship between graph parameters of the product and factors. Extensively revised and expanded, the handbook presents full proofs of many important results as well as up-to-date research and conjectures.
Results and Algorithms New to the Second Edition:
Cancellation results
A quadratic recognition algorithm for partial cubes
Results on the strong isometric dimension
Computing the Wiener index via canonical isometric embedding
Connectivity results
A fractional version of Hedetniemi's conjecture
Results on the independence number of Cartesian powers of vertex-transitive graphs
Verification of Vizing's conjecture for chordal graphs
Results on minimum cycle bases
Numerous selected recent results, such as complete minors and nowhere-zero flows
The second edition of this classic handbook provides a thorough introduction to the subject and an extensive survey of the field. The first three parts of the book cover graph products in detail. The authors discuss algebraic properties, such as factorization and cancellation, and explore interesting and important classes of subgraphs. The fourth part presents algorithms for the recognition of products and related classes of graphs. The final two parts focus on graph invariants and infinite, directed, and product-like graphs. Sample implementations of selected algorithms and other information are available on the book's website, which can be reached via the authors' home pages.
Автор: Jin Akiyama; Hiro Ito; Toshinori Sakai Название: Discrete and Computational Geometry and Graphs ISBN: 3319485318 ISBN-13(EAN): 9783319485317 Издательство: Springer Рейтинг: Цена: 8106.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book constitutes the thoroughly refereed post-conference proceedings of the 18th Japanese Conference on Discrete and Computational Geometry and Graphs, JDCDGG 2015, held in Kyoto, Japan, in September 2015. The total of 25 papers included in this volume was carefully reviewed and selected from 64 submissions.
Автор: V. F. Kolchin Название: Random Graphs ISBN: 0521440815 ISBN-13(EAN): 9780521440813 Издательство: Cambridge Academ Рейтинг: Цена: 17424.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: A study of classical combinatorial structures such as random graphs, permutations, and systems of random linear equations in finite fields, concentrating on research by Russian mathematicians. The book shows how to reduce combinatorial problems to classical problems of probability theory on the summation of independent random variables.
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