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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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作者: Prof. Edward R. Scheinerman, Daniel H. Ullman, Mathematics 作者

出版社: Dover Publications

出版时间: 2013-12

ISBN: 0486485935 或 9780486485935

定价: 131.00

装帧: 平装

开本: 其他

页数: 240页

正文语种: 英语

丛书: Dover Books on Mathematics

分类: 外文古旧书>英文书>文学

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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.
内容简介:
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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Fractional Graph Theory: A Rational Approach to the Theory of Graphs

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