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- W78520452 abstract "Barabasi and Albert [1] suggested modeling scale-free networks by the following random graph process: one node is added at a time and is connected to an earlier node chosen with probability proportional to its degree. A recent empirical study of Newman [5] demonstrates existence of degree-correlation between degrees of adjacent nodes in real-world networks. Here we define the degree correlation—correlation of the degrees in a pair of adjacent nodes— for a random graph process. We determine asymptotically the joint probability distribution for node-degrees, d and d′, of adjacent nodes for every 0 ≤ d ≤ d′ ≤ n, and use this result to show that the model of Barabasi and Albert does not generate degree-correlation. Our theorem confirms the result in (KR01), obtained by using the mean-field heuristic approach." @default.
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- W78520452 date "2005-01-01" @default.
- W78520452 modified "2023-10-13" @default.
- W78520452 title "Degree-correlation of a Scale-free Random Graph Process" @default.
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