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arXiv · 1211.4642

The crossing number of pancake graph $P_4$ is six

Yuansheng Yang·Bo Lv·Baigong Zheng·Xirong Xu·Ke Zhang
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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.

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Yuansheng Yang, Bo Lv, Baigong Zheng, Xirong Xu, Ke Zhang. 2012-11-20. The crossing number of pancake graph $P_4$ is six. https://arxiv.org/abs/1211.4642

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