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Discussiones Mathematicae Graph Theory 32(1) (2012) 91-108
DOI: https://doi.org/10.7151/dmgt.1588

The Projective Plane Crossing Number of the Circulant Graph C(3k;{1,k})

Pak Tung Ho Department of Mathematics, Sogang University, Seoul 121--742, Korea

Abstract

In this paper we prove that the projective plane crossing number of the circulant graph C(3k;{1,k}) is k−1 for k ≥ 4, and is 1 for k = 3.

Keywords: crossing number, circulant graph, projective plane

2010 Mathematics Subject Classification: 05C10.

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Received 2 September 2010
Revised 26 January 2011
Accepted 26 January 2011