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A classification of cubic s-regular graphs of order 16p
- Title
- A classification of cubic s-regular graphs of order 16p
- Date Issued
- 2009-05
- Publisher
- ELSEVIER SCIENCE BV
- Abstract
- A graph is s-regular if its automorphism group acts regularly on the set of its s-arcs. In this paper, we classify all cubic s-regular graphs of order 16p for every s >= 1 and every prime p. As a result, a new infinite family of cubic 1-regular graphs with girth 10 is constructed. (C) 2008 Elsevier B.V. All rights reserved.
- Keywords
- Cubic s-regular graph; Covering graph; The Mobius-Kantor graph; ELEMENTARY ABELIAN COVERS; SMALL NUMBER TIMES; SYMMETRIC GRAPHS; TRANSITIVE GRAPHS; PRIME SQUARE; AUTOMORPHISMS; VALENCY; TWICE; MAPS
- ISSN
- 0012-365X
- Article Type
- Article
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