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Topological Symmetry Groups of the Complete Graphs K4q+3
by
Dwayne Chambers
Claremont Graduate University
Coauthors: Professor Erica Flapan, John D. O'Brien
We present the concept of the topological symmetry group as a way to analyze the symmetries of non-rigid molecules. Then we show that only certain cyclic, dihedral, and products of two cyclic groups of odd order can occur as the topological symmetry group of an embedding of the complete graph K4q+3 in S3.
Date received: September 24, 2009
Copyright © 2009 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 # cazp-02.