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21st Cumberland Conference on Graph Theory, Combinatorics, and Computing ---In Honor of Mike Plummer's 70th Birthday
May 15-17, 2008
Vanderbilt University
Nashville, TN, USA

Organizers
Mark Ellingham and Gexin Yu

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3-maps
by
David L. Craft
Muskingum College
Coauthors: Arthur T. White

Starting with a simple observation about one conventional die, we extend to the three cubic dice based upon Platonic solids and then to cubic maps in general. We take special interest when a 3-region coloring exists, for then 3's abound: we find a 3-edge coloring of a special sort, and also three partitions of the vertex set of the cubic graph which lead to various topological constructions.

Date received: April 5, 2008

Copyright © 2008 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cawn-24.