2012arXiv (Cornell University)Open access

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

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.

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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.

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Available 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.

Key concepts: Crossing number (knot theory), Petersen graph, Combinatorics, Graph, Cubic graph, Coxeter graph, Mathematics, Voltage graph

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