Classification of the pentavalent symmetric graphs of order 18p

Mehdi Alaeiyan () and Masoumeh Akbarizadeh ()
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Mehdi Alaeiyan: Iran University of Science and Technology
Masoumeh Akbarizadeh: Iran University of Science and Technology

Indian Journal of Pure and Applied Mathematics, 2019, vol. 50, issue 2, 485-497

Abstract: Abstract A graph is symmetric if its automorphism group is transitive on the arc set of the graph. In this paper, we give a complete classification of connected pentavalent symmetric graphs of order 18p, for each prime p. It is shown that, such graphs there exist if and only if p = 2, 7 or 19, and up to isomorphism, there are only four such graphs.

Keywords: Pentavalent symmetric graph; connected graph; arc-transitive graph; automorphism group (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (2)

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DOI: 10.1007/s13226-019-0340-9

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