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 Title Fractional Graph Theory: A Rational Approach to the Theory of Graphs
 Authors Edward Scheinerman, Daniel Ullman
 Publisher: Dover Publications (December 14, 2011)
 Paperback: 240 pages
 eBook PDF, 167 pages, 1.2 MB
 Language: English
 ISBN10: 0486485935
 ISBN13: 9780486485935
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Book Description
The vast majority of concepts in graph theory are wholenumber based. Invariants from chromatic number to arboricity only take on integer values. In this book the authors explore generalizations of core graph theory notions by allowing real values to substitute where normally only integers would be permitted. The aim is to prove "fractional analogues" of the theorems of traditional graph theory.
About the Authors EDWARD R. SCHEINERMAN is a professor in the Department of Mathematical Sciences at The Johns Hopkins University.
 DANIEL H. ULLMAN is an associate professor in the Department of Mathematics at The George Washington University.