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Preprint . 2018
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Statistical mechanics of bipartite z-matchings

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 31 May 2019Embargo end date: 01 Jan 2018 United Kingdom Publisher:IOP PublishingJournal:EPL (Europhysics Letters), volume 126, page 28,001 (eissn: 1286-4854, Copyright policy )
Authors: Ginestra Bianconi; Ginestra Bianconi; Eleonora Kreačić;

doi: 10.1209/0295-5075/126/28001 , 10.48550/arxiv.1810.10589

arXiv: http://arxiv.org/abs/1810.10589

Statistical mechanics of bipartite z-matchings

Abstract

The matching problem has a large variety of applications including the allocation of competitive resources and network controllability. The statistical mechanics approach based on the cavity method has shown to be exact in characterizing this combinatorial problem on locally tree-like networks. Here we use the cavity method to solve the many-to-one bipartite $z$-matching problem that can be considered to be a model for the characterization of the capacity of user-server networks such as wireless communication networks. Finally we study the phase diagram of the model defined in network ensembles.

(7 pages, 1 figure)

Country
United Kingdom
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Keywords

Physics - Physics and Society, Statistical Mechanics (cond-mat.stat-mech), FOS: Physical sciences, Disordered Systems and Neural Networks (cond-mat.dis-nn), Physics and Society (physics.soc-ph), Condensed Matter - Disordered Systems and Neural Networks, Condensed Matter - Statistical Mechanics

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    		 6
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    		 Top 10%
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    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
6
Top 10%
Average
Top 10%
Green
bronze
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