Abstract
Hua et al. (Discrete Math 311, 2259–2267, 2011) and Yang et al. (Discrete Math. 339, 522–532, 2016) classify arc-transitive pentavalent graphs of order 2pq and of order 2pqr (with p, q, r distinct odd primes), respectively. In this paper, we extend their results by giving a classification of arc-transitive pentavalent graphs of any square-free order.
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The authors are very grateful to the referees for their helpful comments.
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This work was partially supported by the National Natural Science Foundation of China (11461007,11301468,11231008).
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Ding, S., Ling, B., Lou, B. et al. Arc-Transitive Pentavalent Graphs of Square-Free Order. Graphs and Combinatorics 32, 2355–2366 (2016). https://doi.org/10.1007/s00373-016-1717-8
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DOI: https://doi.org/10.1007/s00373-016-1717-8