Finite connected components in infinite directed and multiplex networks with arbitrary degree distributions

Research output: Contribution to journalArticleAcademicpeer-review

Abstract

This work presents exact expressions for size distributions of weak and multilayer connected components intwo generalizations of the configuration model: networks with directed edges and multiplex networks with anarbitrary number of layers. The expressions are computable in a polynomial time and, under some restrictions,are tractable from the asymptotic theory point of view. If first partial moments of the degree distribution are finite,the size distribution for two-layer connected components in multiplex networks exhibits an exponent −3/2 in the critical regime, whereas the size distribution of weakly connected components in directed networks exhibits twocritical exponents −1/2 and −3/2 .

Original languageEnglish
Article number052304
Pages (from-to)1-12
Number of pages12
JournalPhysical Review E
Volume96
Issue number5
DOIs
Publication statusPublished - 2 Nov 2017
Externally publishedYes

Funding

This work was part of the research programme VENI with Project No. 639.071.511, which was financed by the Netherlands Organisation for Scientific Research (NWO).

Fingerprint

Dive into the research topics of 'Finite connected components in infinite directed and multiplex networks with arbitrary degree distributions'. Together they form a unique fingerprint.

Cite this