2012International Journal of Computer MathematicsRequires access

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

Yuansheng Yang, Baigong Zheng, Xirong Xu

Open publisher page 2 citations

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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What this paper is about

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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OpenAlex reports 2 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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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), Mathematics, Petersen graph, Combinatorics, Cubic graph, Graph, Coxeter graph, Voltage graph

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