Fractional Graph Theory

A Rational Approach to the Theory of Graphs

Nonfiction, Science & Nature, Mathematics, Discrete Mathematics
Cover of the book Fractional Graph Theory by Prof. Edward R. Scheinerman, Daniel H. Ullman, Dover Publications
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Author: Prof. Edward R. Scheinerman, Daniel H. Ullman ISBN: 9780486292137
Publisher: Dover Publications Publication: April 29, 2013
Imprint: Dover Publications Language: English
Author: Prof. Edward R. Scheinerman, Daniel H. Ullman
ISBN: 9780486292137
Publisher: Dover Publications
Publication: April 29, 2013
Imprint: Dover Publications
Language: English

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.

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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.

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