期刊
JOURNAL OF COMPLEX NETWORKS
卷 8, 期 1, 页码 -出版社
OXFORD UNIV PRESS
DOI: 10.1093/comnet/cnaa008
关键词
random graphs; finite size effect; two-star model; phase transition
资金
- Basis Foundation Fellowship [RFBR 19-02-00214]
- Academic Fund Program at the National Research University Higher School of Economics (HSE) in 2020-2021 [20-01-041]
- Russian Academic Excellence Project '5-100'
In this article, we shownumerically the strong finite-size effects in exponential random graphs. Particularly, for the two-star model above the critical value of the chemical potential for triplets a ground state is a starlike graph with the finite set of hubs at network density p < 0.5 or as the single cluster at p > 0.5. We find that there exists the critical value of number of nodes N* (p) when the ground state undergoes clear-cut crossover. At N > N* (p), the network flows via a cluster evaporation to the state involving the small star in the Erdos-Renyi environment. The similar evaporation of the cluster takes place at N > N * (p) in the Strauss model. We suggest that the entropic trap mechanism is relevant for microscopic mechanism behind the crossover regime.
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