Growing multiplex networks with arbitrary number of layers

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Naghmeh Momeni, Babak Fotouhi

Abstract

This paper focuses on the problem of growing multiplex networks. Currently, the results on the joint degree distribution of growing multiplex networks present in the literature pertain to the case of two layers and are confined to the special case of homogeneous growth and are limited to the state state (that is, the limit of infinite size). In the present paper, we first obtain closed-form solutions for the joint degree distribution of heterogeneously growing multiplex networks with arbitrary number of layers in the steady state. Heterogeneous growth means that each incoming node establishes different numbers of links in different layers. We consider both uniform and preferential growth. We then extend the analysis of the uniform growth mechanism to arbitrary times. We obtain a closed-form solution for the time-dependent joint degree distribution of a growing multiplex network with arbitrary initial conditions. Throughout, theoretical findings are corroborated with Monte Carlo simulations. The results shed light on the effects of the initial network on the transient dynamics of growing multiplex networks and takes a step towards characterizing the temporal variations of the connectivity of growing multiplex networks, as well a...Continue Reading

References

Oct 16, 1999·Science·A L Barabasi, R Albert
Nov 18, 2000·Physical Review Letters·P L KrapivskyF Leyvraz
Nov 18, 2000·Physical Review Letters·S N DorogovtsevA N Samukhin
Sep 13, 2002·Physical Review Letters·Víctor M Eguíluz, Konstantin Klemm
Jun 1, 2004·Physical Review Letters·Marc BarthélemyAlessandro Vespignani
Feb 21, 2006·Physical Review Letters·Claudio Castellano, Romualdo Pastor-Satorras
Jun 4, 2008·Physical Review Letters·Claudio Castellano, Romualdo Pastor-Satorras
May 21, 2010·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Matteo BarigozziDiego Garlaschelli
Jul 21, 2010·Proceedings of the National Academy of Sciences of the United States of America·Michael SzellStefan Thurner
Sep 4, 2012·Scientific Reports·Jesús Gómez-GardeñesLuis Mario Floría
Sep 26, 2012·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Anna Saumell-MendiolaMarián Boguñá
Feb 5, 2013·Scientific Reports·Zhen WangMatjaž Perc
Feb 7, 2013·Physical Review Letters·S GómezA Arenas
Mar 1, 2013·Scientific Reports·Alessio CardilloStefano Boccaletti
Aug 21, 2013·Physical Review Letters·V NicosiaM Barthelemy
Aug 21, 2013·Physical Review Letters·Jung Yeol Kim, K-I Goh
Oct 8, 2013·Physical Review Letters·Clara GranellAlex Arenas
Oct 16, 2013·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·A Solé-RibaltaA Arenas
Dec 18, 2013·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Emanuele CozzoYamir Moreno
Dec 18, 2013·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Davide CellaiGinestra Bianconi
Feb 4, 2014·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Babak Fotouhi, Michael G Rabbat
Mar 4, 2014·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Arda HaluGinestra Bianconi
May 16, 2014·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Gareth J BaxterDavide Cellai
Jun 7, 2014·PloS One·Giulia MenichettiGinestra Bianconi
Jun 10, 2014·Proceedings of the National Academy of Sciences of the United States of America·Manlio De DomenicoAlex Arenas
Aug 15, 2014·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Clara GranellAlex Arenas
Nov 7, 2014·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·V NicosiaM Barthelemy
Feb 14, 2015·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Ginestra Bianconi
Apr 29, 2015·Scientific Reports·Joan T MatamalasAlex Arenas
Oct 16, 2015·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Vincenzo Nicosia, Vito Latora
Nov 1, 2014·Physics Reports·S BoccalettiM Zanin

❮ Previous
Next ❯

Related Concepts

Trending Feeds

COVID-19

Coronaviruses encompass a large family of viruses that cause the common cold as well as more serious diseases, such as the ongoing outbreak of coronavirus disease 2019 (COVID-19; formally known as 2019-nCoV). Coronaviruses can spread from animals to humans; symptoms include fever, cough, shortness of breath, and breathing difficulties; in more severe cases, infection can lead to death. This feed covers recent research on COVID-19.

Blastomycosis

Blastomycosis fungal infections spread through inhaling Blastomyces dermatitidis spores. Discover the latest research on blastomycosis fungal infections here.

Nuclear Pore Complex in ALS/FTD

Alterations in nucleocytoplasmic transport, controlled by the nuclear pore complex, may be involved in the pathomechanism underlying multiple neurodegenerative diseases including Amyotrophic Lateral Sclerosis and Frontotemporal Dementia. Here is the latest research on the nuclear pore complex in ALS and FTD.

Applications of Molecular Barcoding

The concept of molecular barcoding is that each original DNA or RNA molecule is attached to a unique sequence barcode. Sequence reads having different barcodes represent different original molecules, while sequence reads having the same barcode are results of PCR duplication from one original molecule. Discover the latest research on molecular barcoding here.

Chronic Fatigue Syndrome

Chronic fatigue syndrome is a disease characterized by unexplained disabling fatigue; the pathology of which is incompletely understood. Discover the latest research on chronic fatigue syndrome here.

Evolution of Pluripotency

Pluripotency refers to the ability of a cell to develop into three primary germ cell layers of the embryo. This feed focuses on the mechanisms that underlie the evolution of pluripotency. Here is the latest research.

Position Effect Variegation

Position Effect Variagation occurs when a gene is inactivated due to its positioning near heterochromatic regions within a chromosome. Discover the latest research on Position Effect Variagation here.

STING Receptor Agonists

Stimulator of IFN genes (STING) are a group of transmembrane proteins that are involved in the induction of type I interferon that is important in the innate immune response. The stimulation of STING has been an active area of research in the treatment of cancer and infectious diseases. Here is the latest research on STING receptor agonists.

Microbicide

Microbicides are products that can be applied to vaginal or rectal mucosal surfaces with the goal of preventing, or at least significantly reducing, the transmission of sexually transmitted infections. Here is the latest research on microbicides.

Related Papers

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Babak Fotouhi, Michael G Rabbat
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Renaud LambiotteRudolf Hanel
The Journal of Chemical Physics
Alexander S Abyzov, Jürn W P Schmelzer
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Hanshuang ChenZhonghuai Hou
© 2022 Meta ULC. All rights reserved