منابع مشابه
Distance Labelings on Random Power Law Graphs
Methods for answering distance queries on large graphs through a preprocessed data structure have a rich history of study. Recent evaluations on social and information networks have shown that there are very efficient landmark based labeling schemes on these networks, even for exact distances. However, it is unclear what are the essential properties of these networks that make short labelings p...
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Many graphs arising in various information networks exhibit the “power law” behavior – the number of vertices of degree k is proportional to k−β for some positive β. We show that if β > 2.5, the largest eigenvalue of a random power law graph is almost surely (1+o(1)) √ m where m is the maximum degree. When 2 < β < 2.5, the largest eigenvalue is heavily concentrated at cm3−β for some constant c ...
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ژورنال
عنوان ژورنال: Journal of Statistical Physics
سال: 2010
ISSN: 0022-4715,1572-9613
DOI: 10.1007/s10955-010-0067-9