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The Crossing Number of C(m,3)
C(m,3)的交叉数

Keywords: Crossing number,drawing,circular graph,removal number
交叉数
,画法,循环图,去边数

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Abstract:

It is well known that determination of the exact value of the crossing number for any nontrivial type of graphs is very difficult. This paper shows that for each $k \ge 2$ and $ h \in \{0,1,2\}$ the crossing number is $k+h$ for the circular graph $C(3k+h,3)$, and 1 for $C(m,3)$ with $m{=}5,6,7$.

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