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Homological characterizations of planar and projective planar graphs.
by
Daniel Slilaty
The George Washington University
Coauthors: Lowell Abrams, The George Washington University
In the past, most characterizations of graphs that imbed in a given surface S have been Kuratowski-like forbidden subgraph characterizations; that is, a graph imbeds in S iff the graph does not contain a subdivision of one of a finite list of graphs FS. We will discuss some algebraic characterizations (old and new) of graphs that imbed in the plane or projective plane. These algebraic characterizations are inspired by classical homology theory.
Date received: May 3, 2001
Copyright © 2001 by the author(s). The author(s) of this work and the organizers of the conference have granted their consent to include this abstract in Topology Atlas. Document # cahj-06.