The diameter of sparse random graphs

The diameter of sparse random graphs
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DOI:
10.1002/rsa.20197
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发表时间:
2007-12
影响因子:
1
通讯作者:
Daniel Fernholz;V. Ramachandran
Daniel Fernholz;V. Ramachandran
中科院分区:
数学3区
文献类型:
--
作者:
Daniel Fernholz;V. Ramachandran

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我们得到了一个表达式的形式c ln n + o(ln n)的直径的稀疏随机图与指定的度序列。在满足一定的收敛性和超临界性条件下,该结果几乎必然渐近成立,并且适用于经典随机图Gn,p(np = Θ(1)+ 1)和某些随机幂律图.© 2007 Wiley Periodicals,Inc.随机结构算法,2007
We derive an expression of the form c ln n + o(ln n) for the diameter of a sparse random graph with a specified degree sequence. The result holds asymptotically almost surely, assuming that certain convergence and supercriticality conditions are met, and is applicable to the classical random graph Gn,p with np = Θ(1) + 1, as well as certain random power law graphs. © 2007 Wiley Periodicals, Inc. Random Struct. Alg., 2007