Pentavalent Arc-transitive Graphs of Order $2p^{2}q$

Hailin Liu; Bengong Lou; Bo Ling

doi:10.11650/tjm/171202

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Home > Journals > Taiwanese J. Math. > Volume 22 > Issue 4 > Article

August, 2018 Pentavalent Arc-transitive Graphs of Order $2p^{2}q$

Hailin Liu, Bengong Lou, Bo Ling

Taiwanese J. Math. 22(4): 767-777 (August, 2018). DOI: 10.11650/tjm/171202

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Abstract

In this paper, we complete a classification of pentavalent arc-transitive graphs of order $2p^{2}q$, where $p$ and $q$ are distinct odd primes. This result involves a subclass of pentavalent arc-transitive graphs of cube-free order.

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Hailin Liu, Bengong Lou, and Bo Ling "Pentavalent Arc-transitive Graphs of Order $2p^{2}q$," Taiwanese Journal of Mathematics 22(4), 767-777, (August, 2018). https://doi.org/10.11650/tjm/171202

Received: 12 January 2017; Accepted: 13 December 2017; Published: August, 2018

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Taiwanese J. Math.

Vol.22 • No. 4 • August, 2018

Mathematical Society of the Republic of China

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Hailin Liu, Bengong Lou, Bo Ling "Pentavalent Arc-transitive Graphs of Order $2p^{2}q$," Taiwanese Journal of Mathematics, Taiwanese J. Math. 22(4), 767-777, (August, 2018)

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