Quasi-planar graphs have a linear number of edges

Quasi-planar graphs have a linear number of edges
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拟平面图具有线性数量的边

DOI:
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发表时间:
1995
期刊:
International Symposium Graph Drawing and Network Visualization
影响因子:
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通讯作者:
M. Sharir
M. Sharir
中科院分区:
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文献类型:
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作者:
P. Agarwal;B. Aronov;J. Pach;R. Pollack;M. Sharir

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一个图被称为拟平面的,如果它可以画在平面上,使得它的三条边都不成对交叉。证明了n阶拟平面图的最大边数为O(n)。
A graph is calledquasi-planar if it can be drawn in the plane so that no three of its edges are pairwise crossing. It is shown that the maximum number of edges of a quasi-planar graph withn vertices isO(n).