A graph is vertex-transitive or symmetric if its automorphism group acts transitively on vertices or ordered adjacent pairs of vertices of the graph, respectively. Let G be a finite group and S a subset of G such that 1 / ∈ S and S = {s -1 | s ∈ S}. The Cayley graph Cay(G, S) on G with respect to S
Characterization of graphs which admit vertex-transitive embeddings
✍ Scribed by Jozef Širáň; Thomas W. Tucker
- Publisher
- John Wiley and Sons
- Year
- 2007
- Tongue
- English
- Weight
- 177 KB
- Volume
- 55
- Category
- Article
- ISSN
- 0364-9024
No coin nor oath required. For personal study only.
✦ Synopsis
Abstract
We present necessary and sufficient conditions for a graph to admit a vertex‐transitive embedding on some surface. © 2007 Wiley Periodicals, Inc. J Graph Theory 55: 233–248, 2007
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