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On Trivalent Graphs

โœ Scribed by Gardiner, A.


Book ID
120096049
Publisher
Oxford University Press
Year
1975
Tongue
English
Weight
195 KB
Volume
s2-10
Category
Article
ISSN
0024-6107

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๐Ÿ“œ SIMILAR VOLUMES


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A simple undirected graph is said to be semisymmetric if it is regular and edge-transitive but not vertex-transitive. This paper uses the groups PSL(2, p) and PGL(2, p), where p is a prime, to construct two new infinite families of trivalent semisymmetric graphs.

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It is shown that the Trivalent Cayley graphs, TC,,, are near recursive. In particular, TC, is a union of four copies of i"Cn\_2 with additional well placed nodes. This allows one to recursively build the Hamilton cycle in TC,.