A random graph with a subcritical number of edges

A random graph with a subcritical number of edges
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具有亚临界边数的随机图

DOI:
10.1090/s0002-9947-1988-0957061-x
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发表时间:
1988
影响因子:
1.3
通讯作者:
B. Pittel
B. Pittel
中科院分区:
数学1区
文献类型:
--
作者:
B. Pittel

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一个随机图Gn(prob(Edge)=p)(p=c/n,0ci/2j)为n-oo,该随机图没有长度为>1的圈。另一个结果是,当v-oo且v=o(n/log5/2n)时,第Vth个最大分支的大小或者等于最接近Alog(bn/vlog5/2n)的整数,a=a(C),b=b(C),或者比这个整数小1。
A random graph Gn(prob(edge) = p) (p = c/n, 0 ci/2j) as n -oo, the random graph does not have a cycle of length > 1. Another result is that, with probability approaching 1, the size of the vth largest component either equals an integer closest to alog(bn/v log5/2 n), a = a(c), b = b(c), or is one less than this integer, provided that v -oo and v = o(n/ log5/2 n).