Clique coverings of the edges of a random graph

Clique coverings of the edges of a random graph
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随机图边缘的团覆盖

DOI:
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发表时间:
1993
期刊:
Comb.
影响因子:
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通讯作者:
D. West
D. West
中科院分区:
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文献类型:
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作者:
B. Bollobás;P. Erdös;J. Spencer;D. West

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随机图(边概率p =1/2)的边可以用O(n2 lnlnn/(lnn)2)个团覆盖.因此,这是随机图的交叉数(也称为团覆盖数)的上界。通过计算参数得到的下限是(1− n)n2/(2lgn)2。
The edges of the random graph (with the edge probabilityp=1/2) can be covered usingO(n2lnlnn/(lnn)2) cliques. Hence this is an upper bound on the intersection number (also called clique cover number) of the random graph. A lower bound, obtained by counting arguments, is (1−ɛ)n2/(2lgn)2.