The crossing number of pancake graph $P_4$ is six

Yuansheng Yang; Bo Lv; Baigong Zheng; Xirong Xu; Ke Zhang

The crossing number of pancake graph $P_4$ is six

Discrete Mathematics 2012-11-21 v1 Combinatorics

Authors: Yuansheng Yang , Bo Lv , Baigong Zheng , Xirong Xu , Ke Zhang

Abstract

The {\it crossing number} of a graph $G$ is the least number of pairwise crossings of edges among all the drawings of $G$ in the plane. The pancake graph is an important topology for interconnecting processors in parallel computers. In this paper, we prove the exact value of the crossing number of pancake graph $P_4$ is six.

Keywords

crossing number pancake graph graph drawing interconnection topology parallel computing

Cite

@article{arxiv.1211.4642,
  title  = {The crossing number of pancake graph $P_4$ is six},
  author = {Yuansheng Yang and Bo Lv and Baigong Zheng and Xirong Xu and Ke Zhang},
  journal= {arXiv preprint arXiv:1211.4642},
  year   = {2012}
}