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 language | English |
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Article number | 052304 |
Pages (from-to) | 1-12 |
Number of pages | 12 |
Journal | Physical Review E |
Volume | 96 |
Issue number | 5 |
DOIs | |
Publication status | Published - 2 Nov 2017 |
Externally published | Yes |
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).