Edward R. Scheinerman

Professor, Department of Applied Mathematics & Statistics
Vice Dean for Education, Whiting School of Engineering
Johns Hopkins University

Fractional Graph Theory

A Rational Approach to the Theory of Graphs

by Daniel Ullman and Edward Scheinerman

This book was originally published by Wiley in 1997 and is now available as postcardware. Send no money, but please send us (one each) postcards from your home town. Alternatively, you can send an electronic photo (of your home town, of yourself, of your university, ... your choice) by email.

Dan Ullman
Department of Mathematics
The George Washington University
Washington, DC 20052 USA

Ed Scheinerman
Department of Applied Mathematics & Statistics
The Johns Hopkins University
Baltimore, MD 21218 USA

Click on the cover image on the right to download a PDF. [File size is 1.2 Mb.]

New Cover New!

Fractional Graph Theory is back in print. Find it online from the publisher, Dover, or at Amazon.

The vertices of this graph are the 48 continental US states plus the District of Columbia; regions that share a common border are adjacent. The fractional chromatic number of this graph is 3.5 and this figure provides a 7:2-coloring. [Thanks to Stan Wagon who prepared this diagram using Mathematica.]