Vol. 120, No. 2, 1985

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Bicontactual regular maps

Stephen Edwin Wilson

Vol. 120 (1985), No. 2, 437–451
Abstract

In this paper, we will classify all rotary maps with the property that each face meets only one or two others. We will show that all such maps are in fact regular and that they ore closed under the action of the operators D, P, opp and Hj. We will then use this information to prove this theorem: Every non-trivial rotary map whose number of edges is a power of 2 is orientable.

Mathematical Subject Classification 2000
Primary: 05C10
Secondary: 05C25
Milestones
Received: 1 June 1978
Revised: 15 March 1984
Published: 1 December 1985
Authors
Stephen Edwin Wilson