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Handbook Of Product Graphs 2E, Hammack


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Автор: Hammack
Название:  Handbook Of Product Graphs 2E
ISBN: 9781138199088
Издательство: Taylor&Francis
Классификация:


ISBN-10: 1138199087
Обложка/Формат: Paperback
Страницы: 536
Вес: 0.97 кг.
Дата издания: 16.11.2016
Серия: Discrete mathematics and its applications
Язык: English
Издание: 2 ed
Иллюстрации: 75 illustrations, black and white
Размер: 180 x 255 x 33
Читательская аудитория: Tertiary education (us: college)
Ключевые слова: Automatic control engineering, COMPUTERS / Operating Systems / General,MATHEMATICS / Combinatorics
Основная тема: Intelligent Systems
Ссылка на Издательство: Link
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Поставляется из: Европейский союз
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 Hedetniemis conjecture
  • Results on the independence number of Cartesian powers of vertex-transitive graphs
  • Verification of Vizings 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 books website, which can be reached via the authors home pages.




Random graphs

Автор: Bollobas, Bela
Название: Random graphs
ISBN: 0521797225 ISBN-13(EAN): 9780521797221
Издательство: Cambridge Academ
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Цена: 13306.00 р.
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Описание: In this second edition of a now classic text, the addition of two new sections, numerous new results and over 150 references mean that this represents a comprehensive account of random graph theory. Suitable for mathematicians, computer scientists and electrical engineers, as well as people working in biomathematics.

Graphs, Dioids and Semirings

Автор: Michel Gondran; Michel Minoux
Название: Graphs, Dioids and Semirings
ISBN: 1441945296 ISBN-13(EAN): 9781441945297
Издательство: Springer
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Цена: 23058.00 р.
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Описание: The primary objective of this essential text is to emphasize the deep relations existing between the semiring and dioid structures with graphs and their combinatorial properties.

Random Graphs (Wiley Series in Discrete Mathematics and Optimization)

Автор: Svante Janson
Название: Random Graphs (Wiley Series in Discrete Mathematics and Optimization)
ISBN: 0471175412 ISBN-13(EAN): 9780471175414
Издательство: Wiley
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Цена: 24069.00 р.
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Описание: Since its inception in the 1960s, the theory of random graphs has evolved into a dynamic branch of discrete mathematics. Yet despite the lively activity and important applications, the last comprehensive volume on the subject is Bollobas`s well-known 1985 book.

Graphs & Digraphs

Автор: Chartrand Gary
Название: Graphs & Digraphs
ISBN: 1498735762 ISBN-13(EAN): 9781498735766
Издательство: Taylor&Francis
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Цена: 16078.00 р.
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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.


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