Topological Symmetry Groups of K4r+3
Mathematical Sciences (CGU), Mathematics (Pomona)
Topological symmetry groups, molecular symmetries, complete graphs
We present the concept of the topological symmetry group as a way to analyze the symmetries of non-rigid molecules. Then we characterize all of the groups which can occur as the topological symmetry group of an embedding of a complete graph of the form K4r+3^in S³.
© 2011 American Institute of Mathematical Sciences
D. Chambers, E. Flapan, and J. O’Brien, Topological symmetry groups of K4r+3 , Discrete and Continuous Dynamical Systems, Series S Vol 4, (2011), 1401-1411. doi: 10.3934/dcdss.2011.4.1401