J Austral Math Soc Ser A 50 pp138--149, 1991.

Classification of 4- and 5-Arc-Transitive Cubic Graphs of Small Girth

Margaret J. Morton

(Received 19 July 1989; revised 2 March 1990)

Abstract

This paper classifies all finite connected 4- and 5-arc-transitive cubic graphs that contain circuits of length less than or equal to 11, or of length 13, and some of those graphs with circuits of length 12.

1980 AMS Subject Classification (1985 Revision): primary 05C25; secondary 20F05

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Authors

Margaret J. Morton
Unievrsity of Auckland, Private Bag, Auckland, New Zealand.

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