The Crossing Number of Join of a Special Disconnected 6-Vertex Graph with Cycle

Zongpeng Ding () and Xiaomei Qian
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Zongpeng Ding: School of Mathematics and Statistics, Hunan First Normal University, Changsha 410205, China
Xiaomei Qian: Department of Mathematics, Hunan Normal University, Changsha 410081, China

Mathematics, 2023, vol. 11, issue 10, 1-12

Abstract: The crossing number of a graph G , c r ( G ) , is defined as the smallest possible number of edge-crossings in a drawing of G in the plane. There are almost no results concerning crossing number of join of a disconnected 6-vertex graph with cycle. The main aim of this paper is to give the crossing number of the join product Q + C n for the disconnected 6-vertex graph Q consisting of the two 3-cycles, where C n is the cycle on n vertices.

Keywords: disconnected graph; join product; crossing number; cycle (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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