The Crossing Numbers of Join of a Subdivision of $K_{2,3}$ with $P_{n}$ and $C_{n}$
Received:March 09, 2017  Revised:July 20, 2017
Key Word: crossing number   join graph   path   cycle  
Fund ProjectL:Supported by the Natural Science Foundation of Hunan Province (Grant No.2017JJ3251).
Author NameAffiliation
Zhenhua SU Department of Mathematics, Huaihua University, Hunan 418008, P. R. China 
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      Adding a new vertex to any edge of the complete bipartite graph $K_{2,3}$ gives a subdivision of $K_{2,3}$ (6-vertices graph). In the paper, we get 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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