The Crossing Number of join of a subdivision of $K_{2,3}$ with $P_{n}$ and $C_{n}$
Received:March 09, 2017  Revised:May 16, 2017
Key Word: Crossing Number   Join graph   Path   Cycle    
Fund ProjectL:Hunan Provincial Natural Science Foundation of China
Author NameAffiliationE-mail
Su Zhen Hua Department of Mathematics of HuaiHua University szh820@163.com 
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Abstract:
      Adding a new vertex to any edge of the complete bipartite graph $K_{2,3}$, then get a subdivision of $K_{2,3}$(6-vertices graph). In the paper, we proved the crossing numbers of the join graph of the specific 6-vertices graph $H$ with $n$ isolated vertices as well as with the path $P_{n}$ on $n$ vertices and with the cycle $C_{n}$.
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