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The Crossing Number of Cartesian Products of Complete Bipartite Graphs K2,m with Paths P n

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Abstract

Most results on the crossing number of a graph focus on the special graphs, such as Cartesian products of small graphs with paths P n , cycles C n or stars S n . In this paper, we extend the results to Cartesian products of complete bipartite graphs K2,m with paths P n for arbitrary m ≥  2 and n ≥  1.

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Authors and Affiliations

  1. Department of Mathematics, Normal University of Hunan, Changsha, 410081, P.R. China

    Tang Ling

  2. Institute of Mathematics, Northern Jiaotong University, Beijing, 100044, P.R. China

    Lv Shengxiang

  3. Department of Mathematics, Normal University of Hunan, Changsha, 410081, P.R. China

    Huang Yuanqiu

Authors
  1. Tang Ling
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  2. Lv Shengxiang
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  3. Huang Yuanqiu
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Corresponding authors

Correspondence to Tang Ling or Huang Yuanqiu.

Additional information

Supported by the NSFC (No. 10771062) and the program for New Century Excellent Talents in University.

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Ling, T., Shengxiang, L. & Yuanqiu, H. The Crossing Number of Cartesian Products of Complete Bipartite Graphs K2,m with Paths P n . Graphs and Combinatorics 23, 659–666 (2007). https://doi.org/10.1007/s00373-007-0761-9

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  • DOI: https://doi.org/10.1007/s00373-007-0761-9

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