Agnes Backhausz, Tamas F. Mori
Published 2010-07-25Version 1
In several scale free graph models the asymptotic degree distribution and the characteristic exponent change when only a smaller set of vertices is considered. Looking at the common properties of these models, we present sufficient conditions for the almost sure existence of asymptotic degree distribution constrained on the set of selected vertices, and identify the characteristic exponent belonging to it.
Asymptotic degree distribution of a duplication-deletion random graph model
A note on the vertex degree distribution of random intersection graphs
Asymptotic properties of a random graph with duplications
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