Extremal Graph Theory

Author: Bela Bollobas
Publisher: Courier Corporation
ISBN: 0486317587
Format: PDF, ePub, Mobi
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The ever-expanding field of extremal graph theory encompasses a diverse array of problem-solving methods, including applications to economics, computer science, and optimization theory. This volume, based on a series of lectures delivered to graduate students at the University of Cambridge, presents a concise yet comprehensive treatment of extremal graph theory. Unlike most graph theory treatises, this text features complete proofs for almost all of its results. Further insights into theory are provided by the numerous exercises of varying degrees of difficulty that accompany each chapter. Although geared toward mathematicians and research students, much of Extremal Graph Theory is accessible even to undergraduate students of mathematics. Pure mathematicians will find this text a valuable resource in terms of its unusually large collection of results and proofs, and professionals in other fields with an interest in the applications of graph theory will also appreciate its precision and scope.

Fractional Graph Theory

Author: Edward R. Scheinerman
Publisher: Courier Corporation
ISBN: 0486292134
Format: PDF, ePub, Docs
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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.

Modern Graph Theory

Author: Bela Bollobas
Publisher: Springer Science & Business Media
ISBN: 1461206197
Format: PDF, Mobi
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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.

Graph Theory on Demand Printing Of 02787

Author: Frank Harary
Publisher: CRC Press
ISBN: 0429962312
Format: PDF, Docs
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An effort has been made to present the various topics in the theory of graphs in a logical order, to indicate the historical background, and to clarify the exposition by including figures to illustrate concepts and results. In addition, there are three appendices which provide diagrams of graphs, directed graphs, and trees. The emphasis throughout is on theorems rather than algorithms or applications, which however are occaisionally mentioned.

Combinatorics

Author: Béla Bollobás
Publisher: Cambridge University Press
ISBN: 9780521337038
Format: PDF, Mobi
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Combinatorics is a book whose main theme is the study of subsets of a finite set. It gives a thorough grounding in the theories of set systems and hypergraphs, while providing an introduction to matroids, designs, combinatorial probability and Ramsey theory for infinite sets. The gems of the theory are emphasized: beautiful results with elegant proofs. The book developed from a course at Louisiana State University and combines a careful presentation with the informal style of those lectures. It should be an ideal text for senior undergraduates and beginning graduates.

A Seminar on Graph Theory

Author: Frank Harary
Publisher: Courier Dover Publications
ISBN: 0486796841
Format: PDF, Mobi
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Lectures given in F. Harary's seminar course, University College of London, Dept. of Mathematics, 1962-1963.

Graph Theory

Author: Ronald Gould
Publisher: Courier Corporation
ISBN: 0486320367
Format: PDF, ePub, Mobi
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An introductory text in graph theory, this treatment covers primary techniques and includes both algorithmic and theoretical problems. Algorithms are presented with a minimum of advanced data structures and programming details. 1988 edition.

Random Graphs

Author: Béla Bollobás
Publisher: Cambridge University Press
ISBN: 9780521797221
Format: PDF, ePub
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This is a revised and updated version of the classic first edition.

Introduction to Graph Theory

Author: Richard J. Trudeau
Publisher: Courier Corporation
ISBN: 0486318664
Format: PDF, ePub
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Aimed at "the mathematically traumatized," this text offers nontechnical coverage of graph theory, with exercises. Discusses planar graphs, Euler's formula, Platonic graphs, coloring, the genus of a graph, Euler walks, Hamilton walks, more. 1976 edition.