Fractional Graph Theory: A Rational Approach to the Theory of Graphs
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.
1116792284
Fractional Graph Theory: A Rational Approach to the Theory of Graphs
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.
16.95 In Stock
Fractional Graph Theory: A Rational Approach to the Theory of Graphs

Fractional Graph Theory: A Rational Approach to the Theory of Graphs

Fractional Graph Theory: A Rational Approach to the Theory of Graphs

Fractional Graph Theory: A Rational Approach to the Theory of Graphs

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Overview

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.

Product Details

ISBN-13: 9780486292137
Publisher: Dover Publications
Publication date: 04/01/2013
Series: Dover Books on Mathematics
Sold by: Barnes & Noble
Format: eBook
Pages: 240
File size: 10 MB

About the Author

EDWARD R. SCHEINERMAN, PhD, is a professor in the Department of Mathematical Sciences at The Johns Hopkins University. DANIEL H. ULLMAN, PhD, is an associate professor in the Department of Mathematics at The George Washington University.

Table of Contents

ForewordPreface1. General Theory: Hypergraphs2. Fractional Matching3. Fractional Coloring4. Fractional Edge Coloring5. Fractional Arboricity and Matroid Methods6. Fractional Isomorphism7. Fractional Odds and EndsAppendix: BackgroundBibliographyAuthor IndexSubject Index
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