Computing crossing numbers in quadratic time

Computing crossing numbers in quadratic time
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DOI:
10.1145/380752.380805
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发表时间:
2000-09
期刊:
J. Comput. Syst. Sci.
影响因子:
--
通讯作者:
Martin Grohe
Martin Grohe
中科院分区:
其他
文献类型:
--
作者:
Martin Grohe

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我们表明,对于每一个固定的k\ge 0有一个二次时间算法,决定是否一个给定的图有交叉数最多为k,如果是这种情况下,计算绘图的图形在平面上最多为k个交叉。
We show that for every fixed k\ge 0 there is a quadratic time algorithm that decides whether a given graph has crossing number at most k and, if this is the case, computes a drawing of the graph in the plane with at most k crossings.