On regular graphs. III |
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Authors: | I.Z Bouwer D.Ž Djoković |
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Affiliation: | 1. University of New Brunswick, Fredericton, New Brunswick, Canada;2. University of Waterloo, Waterloo, Ontario, Canada |
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Abstract: | A graph G is locally s-regular if for any two s-arcs of G having the same head there exists a unique automorphism of G mapping the first of these s-arcs to the second. This is a natural generalization of the concept of an s-regular graph. We extend the results of [2] concerning s-regular graphs to this wider class. We also describe an example of a locally 7-regular cubic graph which is not 7-regular. |
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