Heptavalent symmetric graphs of order 12p

Authors

  • Song-Tao Guo Henan University of Science and Technology - School of Mathematics and Statistics

Keywords:

symmetric graph, s-transitive graph, coset graph

Abstract

A graph is symmetric if its automorphism group acts transitively on the set of arcs of the graph.  In this paper, we classify connected heptavalent symmetric graphs of order 12p for each prime p.  As a result, there are eleven sporadic such graphs: one for p = 2, one for p = 3 and nine for p = 13.

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Published

2019-07-30

How to Cite

Guo, S.-T. (2019). Heptavalent symmetric graphs of order 12p. Italian Journal of Pure and Applied Mathematics, 42, 161–172. Retrieved from https://journals.uniurb.it/index.php/ijpam/article/view/7250

Issue

Section

Articoli - Forum Editrice

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