Fractional Graph Theory: A Rational Approach to the Theory of Graphs (Dover Books on Mathema 1.4tics) - Softcover

Scheinerman, Edward

Softcover

ISBN 10: 0486485935 ISBN 13: 9780486485935

Publisher: Dover Publications Inc., 2012

Synopsis

This volume explores the various ways in which integer-valued graph theory concepts can be modified to derive nonintegral values. It explains the general theory of hypergraphs and presents in-depth coverage of fundamental and advanced topics, including fractional matching, fractional coloring, fractional edge coloring, fractional arboricity via matroid methods, fractional isomorphism, and additional subjects. 1997 edition.

About this title

From the Back Cover

"Both authors are excellent expositors–exceptionally so–and this makes for a pleasurable read and allows for clear understanding of the mathematical concepts." –Joel Spencer Fractional Graph Theory explores the various ways in which integer–valued graph theory concepts can be modified to derive nonintegral values. Based on the authors′ extensive review of the literature, it provides a unified treatment of the most important results in the study of fractional graph concepts. Professors Scheinerman and Ullman begin by developing a general fractional theory of hypergraphs and move on to provide in–depth coverage of fundamental and advanced topics, including fractional matching, fractional coloring, and fractional edge coloring; fractional arboricity via matroid methods; and fractional isomorphism. The final chapter is devoted to a variety of additional issues, such as fractional topological graph theory, fractional cycle double covers, fractional domination, fractional intersection number, and fractional aspects of partially ordered sets. Supplemented with many challenging exercises in each chapter as well as an abundance of references and bibliographic material, Fractional Graph Theory is a comprehensive reference for researchers and an excellent graduate–level text for students of graph theory and linear programming.

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.

Edition details

• Publisher: Dover Publications Inc.
• Publication date: 2012
• Language: English
• ISBN 10: 0486485935
• ISBN 13: 9780486485935
• Binding: Paperback
• Number of pages: 240