Автор: Godsil Chris, Royle Gordon F.
Название: Algebraic Graph Theory
ISBN: 0387952411 ISBN-13(EAN): 9780387952413
Издательство: Springer
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Описание: Algebraic graph theory is a combination of two strands. The first is the study of algebraic objects associated with graphs. The second is the use of tools from algebra to derive properties of graphs. This work illustrates the main tools and ideas of algebraic graph theory.

Автор: Gross
Название: Handbook of Graph Theory, Second Edition
ISBN: 1439880182 ISBN-13(EAN): 9781439880180
Издательство: Taylor&Francis
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Описание:

In the ten years since the publication of the best-selling first edition, more than 1,000 graph theory papers have been published each year. Reflecting these advances, Handbook of Graph Theory, Second Edition provides comprehensive coverage of the main topics in pure and applied graph theory. This second edition--over 400 pages longer than its predecessor--incorporates 14 new sections.

Автор: Akiyama Jin, Baskoro Edy Tri, Kano Mikio
Название: Combinatorial Geometry and Graph Theory / Indonesia-Japan Joint Conference, IJCCGGT 2003, Bandung, Indonesia, September 13-16, 2003, Revised Selected Papers
ISBN: 3540244018 ISBN-13(EAN): 9783540244011
Издательство: Springer
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Описание: This book constitutes the thoroughly refereed post-proceedings of the Indonesia-Japan Joint Conference on Combinatorial Geometry and Graph Theory, IJCCGGT 2003, held in Bandung, Indonesia in September 2003.

Автор: W. T. Tutte
Название: Graph theory
ISBN: 0521794897 ISBN-13(EAN): 9780521794893
Издательство: Cambridge Academ
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Описание: Designed for the non-specialist, this classic text by a world expert is an invaluable reference tool for those interested in a basic understanding of the subject. Exercises, notes and exhaustive references follow each chapter, making it outstanding both as a text and reference for graduate students and researchers in graph theory and its applications. The author approaches the subject with a lively writing style. The reader will delight to discover that the topics in this book are coherently unified and include some of the deepest and most beautiful developments in graph theory.

Автор: Edited by Lowell W. Beineke
Название: Topics in Algebraic Graph Theory
ISBN: 0521801974 ISBN-13(EAN): 9780521801973
Издательство: Cambridge Academ
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Описание: The rapidly expanding area of algebraic graph theory uses two different branches of algebra to explore various aspects of graph theory: linear algebra (for spectral theory) and group theory (for studying graph symmetry). These areas have links with other areas of mathematics, such as logic and harmonic analysis, and are increasingly being used in such areas as computer networks where symmetry is an important feature. Other books cover portions of this material, but this book is unusual in covering both of these aspects and there are no other books with such a wide scope. Peter J. Cameron, internationally recognized for his substantial contributions to the area, served as academic consultant for this volume, and the result is ten expository chapters written by acknowledged international experts in the field. Their well-written contributions have been carefully edited to enhance readability and to standardize the chapter structure, terminology and notation throughout the book. To help the reader, there is an extensive introductory chapter that covers the basic background material in graph theory, linear algebra and group theory. Each chapter concludes with an extensive list of references.

Название: Introduction to graph theory: h3 mathematics
ISBN: 9812703861 ISBN-13(EAN): 9789812703866
Издательство: World Scientific Publishing
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Цена: 7497 р.
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Описание: Graph theory is an area in discrete mathematics which studies configurations (called graphs) involving a set of vertices interconnected by edges. This book is intended as a general introduction to graph theory and, in particular, as a resource book for junior college students and teachers reading and teaching the subject at H3 Level in the new Singapore mathematics curriculum for junior college. The book builds on the verity that graph theory at this level is a subject that lends itself well to the development of mathematical reasoning and proof.

Название: Walk through combinatorics, a: an introduction to enumeration and graph theory (2nd edition)
ISBN: 9812568867 ISBN-13(EAN): 9789812568861
Издательство: World Scientific Publishing
Цена: 3477 р.
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Описание: This is a textbook for an introductory combinatorics course that can take up one or two semesters. An extensive list of problems, ranging from routine exercises to research questions, is included. In each section, there are also exercises that contain material not explicitly discussed in the preceding text, so as to provide instructors with extra choices if they want to shift the emphasis of their course.

Just as with the first edition, the new edition walks the reader through the classic parts of combinatorial enumeration and graph theory, while also discussing some recent progress in the area: on the one hand, providing material that will help students learn the basic techniques, and on the other hand, showing that some questions at the forefront of research are comprehensible and accessible for the talented and hard-working undergraduate.The basic topics discussed are: the twelvefold way, cycles in permutations, the formula of inclusion and exclusion, the notion of graphs and trees, matchings and Eulerian and Hamiltonian cycles. The selected advanced topics are: Ramsey theory, pattern avoidance, the probabilistic method, partially ordered sets, and algorithms and complexity. As the goal of the book is to encourage students to learn more combinatorics, every effort has been made to provide them with a not only useful, but also enjoyable and engaging reading.

Название: Walk through combinatorics, a: an introduction to enumeration and graph theory (2nd edition)
ISBN: 9812568859 ISBN-13(EAN): 9789812568854
Издательство: World Scientific Publishing
Цена: 6084 р.
Наличие на складе: Поставка под заказ.

Описание: This is a textbook for an introductory combinatorics course that can take up one or two semesters. An extensive list of problems, ranging from routine exercises to research questions, is included. In each section, there are also exercises that contain material not explicitly discussed in the preceding text, so as to provide instructors with extra choices if they want to shift the emphasis of their course.

Just as with the first edition, the new edition walks the reader through the classic parts of combinatorial enumeration and graph theory, while also discussing some recent progress in the area: on the one hand, providing material that will help students learn the basic techniques, and on the other hand, showing that some questions at the forefront of research are comprehensible and accessible for the talented and hard-working undergraduate. The basic topics discussed are: the twelvefold way, cycles in permutations, the formula of inclusion and exclusion, the notion of graphs and trees, matchings and Eulerian and Hamiltonian cycles. The selected advanced topics are: Ramsey theory, pattern avoidance, the probabilistic method, partially ordered sets, and algorithms and complexity.

As the goal of the book is to encourage students to learn more combinatorics, every effort has been made to provide them with a not only useful, but also enjoyable and engaging reading.

Название: Introduction to graph theory: h3 mathematics
ISBN: 9812705252 ISBN-13(EAN): 9789812705259
Издательство: World Scientific Publishing
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Цена: 11951 р.
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Описание: Graph theory is an area in discrete mathematics which studies configurations (called graphs) involving a set of vertices interconnected by edges. This book is intended as a general introduction to graph theory and, in particular, as a resource book for junior college students and teachers reading and teaching the subject at H3 Level in the new Singapore mathematics curriculum for junior college. The book builds on the verity that graph theory at this level is a subject that lends itself well to the development of mathematical reasoning and proof.

Автор: Bollobas
Название: Modern Graph Theory
ISBN: 0387984887 ISBN-13(EAN): 9780387984889
Издательство: Springer
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Цена: 4038 р.
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Описание: Provides an account of graph theory, emphasizing connections with other branches of pure mathematics. This book presents an account of topics, including Szemer`edi`s Regularity Lemma and its use, Shelah`s extension of the Hales-Jewett Theorem, the precise nature of the phase transition in a random graph process, and more.

Автор: Balakrishnan
Название: A Textbook of Graph Theory
ISBN: 0387988599 ISBN-13(EAN): 9780387988597
Издательство: Springer
Цена: 4946 р.
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Описание: Graph theory has experienced a tremendous growth during the 20th century. One of the main reasons for this phenomenon is the applicability of graph theory in other disciplines such as physics, chemistry, psychology, sociology, and theoretical computer science. This book aims to provide a solid background in the basic topics of graph theory.

It covers Dirac's theorem on k-connected graphs, Harary-Nashwilliam's theorem on the hamiltonicity of line graphs, Toida-McKee's characterization of Eulerian graphs, the Tutte matrix of a graph, Fournier's proof of Kuratowski's theorem on planar graphs, the proof of the nonhamiltonicity of the Tutte graph on 46 vertices and a concrete application of triangulated graphs. The book does not presuppose deep knowledge of any branch of mathematics, but requires only the basics of mathematics. It can be used in an advanced undergraduate course or a beginning graduate course in graph theory.

Автор: Avis David, Hertz Alain, Marcotte Odile
Название: Graph Theory and Combinatorial Optimization
ISBN: 0387255915 ISBN-13(EAN): 9780387255910
Издательство: Springer
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Цена: 9074 р.
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Описание: The techniques of graph theory have been used in solving many classical problems. This book explores the field`s classical foundations and its developing theories, ideas and applications to new problems. It also examines the geometric properties of graph theory and its widening uses in combinatorial optimization theory and application.