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 Words:
crossing number join graph path cycle
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Fund Project:Supported by the Natural Science Foundation of Hunan Province (Grant No.2017JJ3251). |
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Abstract: |
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 $C_{n}$. |
Citation: |
DOI:10.3770/j.issn:2095-2651.2017.06.002 |
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