For a subset S of a group G such that 1 / β S and S = S -1 , the associated Cayley graph Cay(G, S) is the graph with vertex set G such that {x, y} is an edge if and only if yx -1 β S. Each Ο β Aut(G) induces an isomorphism from Cay(G, S) to the Cayley graph Cay(G, S Ο ). For a positive integer m, th
The Solution of a Problem of Godsil on Cubic Cayley Graphs
β Scribed by Cai Heng Li
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 267 KB
- Volume
- 72
- Category
- Article
- ISSN
- 0095-8956
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β¦ Synopsis
In this short paper, we give a positive answer to a question of C. D. Godsil (1983, Europ. J. Combin. 4, 25 32) regarding automorphisms of cubic Cayley graphs of 2-groups: ``If Cay(G, S) is a cubic Cayley graph of a 2-group G and A=Aut Cay(G, S), does A 1 {1 imply Aut(G, S){1?'' 1998 Academic Press
π SIMILAR VOLUMES
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In this paper a short proof is given of a theorem of M . Gromov in a particular case using a combinatorial argument .
## Abstract Let __SCC__~3~(__G__) be the length of a shortest 3βcycle cover of a bridgeless cubic graph __G__. It is proved in this note that if __G__ contains no circuit of length 5 (an improvement of Jackson's (__JCTB 1994__) result: if __G__ has girth at least 7) and if all 5βcircuits of __G_
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