1. A discussion of Barabási–Albert’s 1999 paper.
- Author
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Shi, Dinghua, Zhou, Huijie, and Liu, Liming
- Subjects
MARKOV processes ,TIME series analysis ,MATHEMATICAL symmetry ,FIXED point theory ,SOCIAL networks ,MATHEMATICAL proofs ,MATHEMATICAL models - Abstract
Abstract: Although the scale invariance is a main feature of growing networks, evidence from a few modelled networks show that the finite-size effect of network at a fixed time cannot be ignored. We propose a concept of time-dependent scale-free networks, and prove the criteria for the stability and scale-free of growing networks by the degree-growing Markov chain. Our results show the importance of rigorous theoretical analysis for the network science. [ABSTRACT FROM AUTHOR]
- Published
- 2010
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