**by Edward Scheinerman, Daniel Ullman**

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A unified treatment of the most important results in the study of fractional graph concepts, this volume explores the various ways in which integer-valued concepts can be modified to derive nonintegral values. It begins with the general fractional theory of hypergraphs and presents in-depth coverage of fundamental and advanced topics. Subjects include fractional matching, fractional coloring, fractional edge coloring, fractional arboricity via matroid methods, and fractional isomorphism. The final chapter examines additional topics such as fractional domination, fractional intersection numbers, and fractional aspects of partially ordered sets.

Challenging exercises reinforce the contents of each chapter, and the authors provide substantial references and bibliographic materials. A comprehensive reference for researchers, this volume also constitutes an excellent graduate-level text for students of graph theory and linear programming. ### Table of Contents

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Challenging exercises reinforce the contents of each chapter, and the authors provide substantial references and bibliographic materials. A comprehensive reference for researchers, this volume also constitutes an excellent graduate-level text for students of graph theory and linear programming.

This open book is licensed under a Open Publication License (OPL). You can download Fractional Graph Theory ebook for free in PDF format (1.3 MB).

Chapter 1

General Theory: Hypergraphs

Chapter 2

Fractional Matching

Chapter 3

Fractional Coloring

Chapter 4

Fractional Edge Coloring

Chapter 5

Fractional Arboricity and Matroid Methods

Chapter 6

Fractional Isomorphism

Chapter 7

Fractional Odds and Ends

Title

Fractional Graph Theory

Publisher

John Wiley & Sons

Published

2013

Pages

167

Edition

1

Language

English

ISBN13 Digital

9780486292137

ISBN10 Digital

0486292134

PDF Size

1.3 MB

License

Open Publication License

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