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
中科院分区:
文献类型:
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作者:
Daniel Fernholz;V. Ramachandran
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