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On the Crossing Numbers of Products of Stars and Graphs of Order Five

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Abstract.

 There are several known exact results on the crossing numbers of Cartesian products of paths or cycles with “small” graphs. In this paper we extend these results to the Cartesian products of two specific 5-vertex graphs with the star K 1, n . In addition, we give the crossing number of the graph obtained by adding two edges to the graph K 1,4, n in such a way that these new edges join a vertex of degree n+1 of the graph K 1,4, n with two its vertices of the same degree.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Electrical Engineering and Informatics, Technical University, 042 00 Košice, Slovak Republic. e-mail: klesc@ccsun.tuke.sk, , , , , , SK

    Marián Klešč

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  1. Marián Klešč
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Received: December 8, 1997 Final version received: August 14, 1998

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Klešč, M. On the Crossing Numbers of Products of Stars and Graphs of Order Five. Graphs Comb 17, 289–294 (2001). https://doi.org/10.1007/s003730170042

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  • DOI: https://doi.org/10.1007/s003730170042

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