期刊
PHYSICAL REVIEW LETTERS
卷 107, 期 17, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.107.178701
关键词
-
资金
- NSF [DMR-0908286]
We study the realizability of scale-free networks with a given degree sequence, showing that the fraction of realizable sequences undergoes two first-order transitions at the values 0 and 2 of the power-law exponent. We substantiate this finding by analytical reasoning and by a numerical method, proposed here, based on extreme value arguments, which can be applied to any given degree distribution. Our results reveal a fundamental reason why large scale-free networks without constraints on minimum and maximum degree must be sparse.
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