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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 integervalued concepts can be modified to derive nonintegral values. It begins with the general fractional theory of hypergraphs and presents indepth 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 graduatelevel text for students of graph theory and linear programming.
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