Fractional Graph Theory: A Rational Approach to the Theory of Graphs (Dover Books on Mathematics)

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.

• Extremal Graph Theory (Dover Books on Mathematics)
• Algebraic Graph Theory (Graduate Texts in Mathematics)
• Modern Graph Theory (Graduate Texts in Mathematics)
• Introduction to Random Graphs
• The Probabilistic Method (Wiley Series in Discrete Mathematics and Optimization)
• Proofs from THE BOOK
• Probability and Random Processes
• Applied Combinatorics
• Combinatorial Optimization: Algorithms and Complexity (Dover Books on Computer Science)
• Topological Graph Theory (Dover Books on Mathematics)