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The N-star network evolution model

Published online by Cambridge University Press:  30 July 2019

István Fazekas*
Affiliation:
University of Debrecen
Csaba Noszály*
Affiliation:
University of Debrecen
Attila Perecsényi*
Affiliation:
University of Debrecen
*
*Postal address: Faculty of Informatics, University of Debrecen, PO Box 400, 4002 Debrecen, Hungary.
*Postal address: Faculty of Informatics, University of Debrecen, PO Box 400, 4002 Debrecen, Hungary.
*Postal address: Faculty of Informatics, University of Debrecen, PO Box 400, 4002 Debrecen, Hungary.

Abstract

A new network evolution model is introduced in this paper. The model is based on cooperations of N units. The units are the nodes of the network and the cooperations are indicated by directed links. At each evolution step N units cooperate, which formally means that they form a directed N-star subgraph. At each step either a new unit joins the network and it cooperates with N − 1 old units, or N old units cooperate. During the evolution both preferential attachment and uniform choice are applied. Asymptotic power law distributions are obtained both for in-degrees and for out-degrees.

Type
Research Papers
Copyright
© Applied Probability Trust 2019 

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