# graph theory

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## Graph Theory

**Author :**Reinhard Diestel

**ISBN :**3540261834

**Genre :**Mathematics

**File Size :**82. 48 MB

**Format :**PDF

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The third edition of this standard textbook of modern graph theory has been carefully revised, updated, and substantially extended. Covering all its major recent developments it can be used both as a reliable textbook for an introductory course and as a graduate text: on each topic it covers all the basic material in full detail, and adds one or two deeper results (again with detailed proofs) to illustrate the more advanced methods of that field. From the reviews of the first two editions (1997, 2000): "This outstanding book cannot be substituted with any other book on the present textbook market. It has every chance of becoming the standard textbook for graph theory." Acta Scientiarum Mathematiciarum "The book has received a very enthusiastic reception, which it amply deserves. A masterly elucidation of modern graph theory." Bulletin of the Institute of Combinatorics and its Applications "A highlight of the book is what is by far the best account in print of the Seymour-Robertson theory of graph minors." Mathematika ". . . like listening to someone explain mathematics." Bulletin of the AMS

## Graph Theory With Applications

**Author :**John Adrian Bondy

**ISBN :**0333226941

**Genre :**Graph theory

**File Size :**55. 49 MB

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## Algebraic Graph Theory

**Author :**Norman Biggs

**ISBN :**0521458978

**Genre :**Mathematics

**File Size :**47. 42 MB

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This is a substantial revision of a much-quoted monograph, first published in 1974. The structure is unchanged, but the text has been clarified and the notation brought into line with current practice. A large number of 'Additional Results' are included at the end of each chapter, thereby covering most of the major advances in the last twenty years. Professor Biggs' basic aim remains to express properties of graphs in algebraic terms, then to deduce theorems about them. In the first part, he tackles the applications of linear algebra and matrix theory to the study of graphs; algebraic constructions such as adjacency matrix and the incidence matrix and their applications are discussed in depth. There follows an extensive account of the theory of chromatic polynomials, a subject which has strong links with the 'interaction models' studied in theoretical physics, and the theory of knots. The last part deals with symmetry and regularity properties. Here there are important connections with other branches of algebraic combinatorics and group theory. This new and enlarged edition this will be essential reading for a wide range of mathematicians, computer scientists and theoretical physicists.

## Fractional Graph Theory

**Author :**Edward R. Scheinerman

**ISBN :**9780486292137

**Genre :**Mathematics

**File Size :**65. 30 MB

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This volume explains the general theory of hypergraphs and presents in-depth coverage of fundamental and advanced topics: fractional matching, fractional coloring, fractional edge coloring, fractional arboricity via matroid methods, fractional isomorphism, and more. 1997 edition.

## A Beginner S Guide To Graph Theory

**Author :**W.D. Wallis

**ISBN :**0817645802

**Genre :**Mathematics

**File Size :**75. 54 MB

**Format :**PDF, Kindle

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Concisely written, gentle introduction to graph theory suitable as a textbook or for self-study Graph-theoretic applications from diverse fields (computer science, engineering, chemistry, management science) 2nd ed. includes new chapters on labeling and communications networks and small worlds, as well as expanded beginner's material Many additional changes, improvements, and corrections resulting from classroom use

## Graph Theory

**Author :**Bin Xiong

**ISBN :**9789814271134

**Genre :**Mathematics

**File Size :**34. 15 MB

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Trouble in the Barker's Class

## Modern Graph Theory

**Author :**Bela Bollobas

**ISBN :**9781461206194

**Genre :**Mathematics

**File Size :**48. 17 MB

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An in-depth account of graph theory, written for serious students of mathematics and computer science. It reflects the current state of the subject and emphasises connections with other branches of pure mathematics. Recognising that graph theory is one of several courses competing for the attention of a student, the book contains extensive descriptive passages designed to convey the flavour of the subject and to arouse interest. In addition to a modern treatment of the classical areas of graph theory, the book presents a detailed account of newer topics, including Szemerédis Regularity Lemma and its use, Shelahs extension of the Hales-Jewett Theorem, the precise nature of the phase transition in a random graph process, the connection between electrical networks and random walks on graphs, and the Tutte polynomial and its cousins in knot theory. Moreover, the book contains over 600 well thought-out exercises: although some are straightforward, most are substantial, and some will stretch even the most able reader.