In this paper we classify the 4-valent graphs having 6p2 vertices, with p a prime, admitting a group of automorphisms acting regularly on arcs. As a corollary, we obtain the 4-valent one-regular graphs having 6p2 vertices.
Ghasemi, M., Spiga, P. (2015). 4-valent graphs of order 6p2 admitting a group of automorphisms acting regularly on arcs. ARS MATHEMATICA CONTEMPORANEA, 9(1), 1-18 [10.26493/1855-3974.332.02a].
4-valent graphs of order 6p2 admitting a group of automorphisms acting regularly on arcs
Spiga, P
2015
Abstract
In this paper we classify the 4-valent graphs having 6p2 vertices, with p a prime, admitting a group of automorphisms acting regularly on arcs. As a corollary, we obtain the 4-valent one-regular graphs having 6p2 vertices.
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