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Fractional Graph Theory

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Fractional Graph Theory

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.

Reprint of the John Wiley & Sons, Inc., New York, 1997 edition.
mathematics, pure mathematics, discrete mathematics, applied mathematics, graph theory, graphic methods, fractional graphing concepts, integer valued concepts, nonintegral values, hypergraphs, fundamental theories, advanced topics, fractional matching, edge coloring, arboricity via matroid methods, isomorphism, domination, intersection numbers, aspects of partially ordered sets, challenging exercises, graduate students, linear programming, science and math;integer-valued graph theory; hypergraph theory; hypergraphs; nonintegral values; fractional matching
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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.

Reprint of the John Wiley & Sons, Inc., New York, 1997 edition.
mathematics, pure mathematics, discrete mathematics, applied mathematics, graph theory, graphic methods, fractional graphing concepts, integer valued concepts, nonintegral values, hypergraphs, fundamental theories, advanced topics, fractional matching, edge coloring, arboricity via matroid methods, isomorphism, domination, intersection numbers, aspects of partially ordered sets, challenging exercises, graduate students, linear programming, science and math;integer-valued graph theory; hypergraph theory; hypergraphs; nonintegral values; fractional matching
Fractional Graph Theory | Dover Publications