Title

Rigidity of Graph Symmetries in the 3-Sphere

Document Type

Article

Department

Mathematics (Pomona)

Publication Date

1995

Keywords

Embedded graphs, symmetries of graphs, chirality

Abstract

In this paper we show that, for any 3-connected graph G, if an automorphism of G is realizable by a homeomorphism of (S3, G) then there is an embedding of G such that that automorphism is induced by a finite order homeomorphism of (S3, G). We then use this result to characterize which automorphisms of an arbitrary complete graph can be induced by a homeomorphism of S3 for some embedding of the graph.

Rights Information

© 1995 World Scientific Publishing Co.

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