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Abstract
We investigate connected normal 2-geodesic transitive Cayley graphs Cay(T,S). We first prove that if Cay(T,S) is neither cyclic nor K 4[2], then 〈a〉\{1}⊈S for all a ∈ S. Next, as an application, we give a reduction theorem proving that each graph in this family which is neither a complete multipartite graph nor a bipartite 2-arc transitive graph, has a normal quotient that is either a complete graph or a Cayley graph in the family for a characteristically simple group. Finally we classify complete multipartite graphs in the family. © 2013 Springer Science+Business Media New York.
Original language | English |
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Pages (from-to) | 903-918 |
Number of pages | 16 |
Journal | Journal of Algebraic Combinatorics |
Volume | 39 |
Issue number | 4 |
Early online date | 11 Sept 2013 |
DOIs | |
Publication status | Published - Jun 2014 |
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Dive into the research topics of 'On normal 2-geodesic transitive Cayley graphs'. Together they form a unique fingerprint.Projects
- 1 Finished
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Group Actions: Combinatorics, Geometry and Computation
Praeger, C. (Chief Investigator)
1/01/07 → 31/12/12
Project: Research