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系统科学与数学 2006
The Crossing Number of C(m,3)
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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 $m{=}5,6,7$.