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联图$K_5+P_n$的交叉数
引用本文:苏振华.联图$K_5+P_n$的交叉数[J].数学研究及应用,2018,38(4):331-340.
作者姓名:苏振华
作者单位:怀化学院数学系, 湖南 怀化 418008
摘    要:A join graph denoted by G + H,is illustrated by connecting each vertex of graph G to each vertex of graph H.In this paper,we prove the crossing number of join product of K_5 + P_n is Z(5,n) + 2 n + n/2] + 4 for n ≥ 2.

收稿时间:2017/10/27 0:00:00
修稿时间:2018/5/17 0:00:00

The Crossing Numbers of $K_{5}+P_{n}$
Zhenhua SU.The Crossing Numbers of $K_{5}+P_{n}$[J].Journal of Mathematical Research with Applications,2018,38(4):331-340.
Authors:Zhenhua SU
Abstract:A join graph denoted by $G+H$, is illustrated by connecting each vertex of graph $G$ to each vertex of graph $H$. In this paper, we prove the crossing number of join product of $K_{5}+P_{n}$ is $Z(5,n)+2n+\lfloor \frac{n}{2} \rfloor+4$ for $n\geq 2$.
Keywords:crossing number  join product  complete graph  path
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