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Elsevier, European Journal of Combinatorics, 1(18), p. 59-64, 1997

DOI: 10.1006/eujc.1995.0076

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A Family of One-regular Graphs of Valency 4

Journal article published in 1997 by Dragan Marusic
This paper is made freely available by the publisher.
This paper is made freely available by the publisher.

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Abstract

A graph is said to beone-regularif its automorphism group acts regularly on the set of its arcs. A construction of an infinite family of one-regular graphs of valency 4 with vertex stabilizerZ22having a non-solvable group of automorphisms is given. The smallest graph in this family has 60 vertices.