# Classifying pentavalnet symmetric graphs of order $24p$

Document Type: Research Paper

Author

School of Mathematics and Computer Sciences‎, ‎Yunnan Minzu University‎, ‎Kunming‎, ‎Yunnan 650504‎, ‎P.R‎. ‎China.

Abstract

A graph is said to be symmetric if its automorphism group is transitive on its arcs. A complete classification is given of pentavalent symmetric graphs of order 24p for each prime p. It is shown that a connected pentavalent symmetric graph of order 24p exists if and only if p=2, 3, 5, 11 or 17, and up to isomorphism, there are only eleven such graphs.

Keywords

Main Subjects

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### History

• Receive Date: 11 June 2015
• Revise Date: 30 October 2016
• Accept Date: 30 October 2016