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The crossing number of the generalized Petersen graph P(10, 3) is six

Discrete Mathematics 2012-11-20 v1 Combinatorics
Authors: Yuansheng Yang , Baigong Zheng , Xirong Xu
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Abstract

The crossing number of a graph is the least number of crossings of edges among all drawings of the graph in the plane. In this article, we prove that the crossing number of the generalized Petersen graph P(10, 3) is equal to 6.

Keywords

crossing number generalized Petersen graph graph drawings P(10, 3) planar embeddings

Cite

@article{arxiv.1211.4438,
  title  = {The crossing number of the generalized Petersen graph P(10, 3) is six},
  author = {Yuansheng Yang and Baigong Zheng and Xirong Xu},
  journal= {arXiv preprint arXiv:1211.4438},
  year   = {2012}
}

Comments

11 pages, 31 figures

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