Classifying Heptavalent Symmetric Graphs of Order 40p

Song-Tao Guo ()
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Song-Tao Guo: Henan University of Science and Technology

Indian Journal of Pure and Applied Mathematics, 2020, vol. 51, issue 4, 1893-1901

Abstract: Abstract A graph is symmetric if its automorphism group acts transitively on the set of arcs of the graph. Let p be a prime. In this paper, we proved that there is only one connected heptavalent symmetric graphs of order 40p, it is a vertex primitive graph of order 40.3 = 120 admitting S7 as its full automorphism group.

Keywords: Symmetric graph; s-transitive graph; coset graph; orbital graph; 05C25; 20B25 (search for similar items in EconPapers)
Date: 2020
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DOI: 10.1007/s13226-020-0502-9

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