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 |
|---|---|
| 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 |
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Kryven, I. (2017). Finite connected components in infinite directed and multiplex networks with arbitrary degree distributions. Physical Review E, 96(5), 1-12. Article 052304. https://doi.org/10.1103/PhysRevE.96.052304
Kryven, Ivan. / Finite connected components in infinite directed and multiplex networks with arbitrary degree distributions. In: Physical Review E. 2017 ; Vol. 96, No. 5. pp. 1-12.
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title = "Finite connected components in infinite directed and multiplex networks with arbitrary degree distributions",
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 .",
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Kryven, I 2017, 'Finite connected components in infinite directed and multiplex networks with arbitrary degree distributions', Physical Review E, vol. 96, no. 5, 052304, pp. 1-12. https://doi.org/10.1103/PhysRevE.96.052304
Finite connected components in infinite directed and multiplex networks with arbitrary degree distributions. / Kryven, Ivan.
In: Physical Review E, Vol. 96, No. 5, 052304, 02.11.2017, p. 1-12.
Research output: Contribution to journal › Article › Academic › peer-review
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AB - 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 .
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Kryven I. Finite connected components in infinite directed and multiplex networks with arbitrary degree distributions. Physical Review E. 2017 Nov 2;96(5):1-12. 052304. doi: 10.1103/PhysRevE.96.052304
