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Tetravalent s-Transitive Graphs of Order 4p 2
Authors:Mohsen Ghasemi  Jin-Xin Zhou
Affiliation:1. Department of Mathematics, Urmia University, 57135, Urmia, Iran
2. Department of Mathematics, Beijing Jiaotong University, Beijing, 100044, People??s Republic of China
Abstract:Let s be a positive integer. A graph is s -transitive if its automorphism group is transitive on s-arcs but not on (s?+?1)-arcs. Let p be a prime. Zhou (Discrete Math 309:6081?C6086, 2009) classified tetravalent s-transitive graphs of order 4p. In this article a complete classification of tetravalent s-transitive graphs of order 4p 2 is given.
Keywords:
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