Statistical networks emerging from link-node interactions

We present a network model, where the nodes and links are interacting statistical variables. Each node can be in one of two states (Ising variable), the like nodes tend to link, while the linked nodes tend to be in the same state. The network structure is determined by an effective potential generat...

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Bibliographic Details
Published in:Europhysics letters 2006-09, Vol.75 (6), p.908-914
Main Authors: Allahverdyan, A. E, Petrosyan, K. G
Format: Article
Language:English
Subjects:
64.60.Cn
75.10.Hk
89.75.Hc
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Summary:We present a network model, where the nodes and links are interacting statistical variables. Each node can be in one of two states (Ising variable), the like nodes tend to link, while the linked nodes tend to be in the same state. The network structure is determined by an effective potential generated by the quickly relaxing nodes, and is measurable via the statistical features of the nodes. For low temperatures the nodes get spontaneously ordered inducing the connectivity enhancement, link-link correlations and clustering. The giant component of the network does appear via a first-order percolation transition leading to bistability and hysteresis.
ISSN:0295-5075
1286-4854
DOI:10.1209/epl/i2006-10212-8