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(G,s)-Transitive Graphs of Valency 7.
- Source :
-
Algebra Colloquium . Sep2016, Vol. 23 Issue 3, p493-500. 8p. - Publication Year :
- 2016
-
Abstract
- Let X be a finite simple undirected graph and G an automorphism group of X. If G is transitive on s-arcs but not on (s+1)-arcs then X is called (G,s)-transitive. Let X be a connected (G,s)-transitive graph of a prime valency p, and Gv the vertex stabilizer of a vertex v ∈ V(X) in G. For the case p=3, the exact structure of Gv has been determined by Djoković and Miller in [Regular groups of automorphisms of cubic graphs, J. Combin. Theory (Ser. B) 29 (1980) 195 - 230]. For the case p=5, all the possibilities of Gv have been given by Guo and Feng in [A note on pentavalent s-transitive graphs, Discrete Math. 312 (2012) 2214 - 2216]. In this paper, we deal with the case p=7 and determine the exact structure of the vertex stabilizer Gv. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 10053867
- Volume :
- 23
- Issue :
- 3
- Database :
- Academic Search Index
- Journal :
- Algebra Colloquium
- Publication Type :
- Academic Journal
- Accession number :
- 116256877
- Full Text :
- https://doi.org/10.1142/S100538671600047X