Singularities in Ternary Mixtures of k-core Percolation

Davide Cellai; James P. Gleeson

doi:10.1007/978-3-642-36844-8_16

Singularities in Ternary Mixtures of k-core Percolation

Davide Cellai
, James P. Gleeson

University of Limerick

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

Abstract

Heterogeneous k-core percolation is an extension of a percolation model which has interesting applications to the resilience of networks under random damage. In this model, the notion of node robustness is local, instead of global as in uniform k-core percolation. One of the advantages of k-core percolation models is the validity of an analytical mathematical framework for a large class of network topologies. We study ternary mixtures of node types in random networks and show the presence of a new type of critical phenomenon. This scenario may have useful applications in the stability of large scale infrastructures and the description of glass-forming systems.

Original language	English
Title of host publication	Complex Networks IV
Subtitle of host publication	Proceedings of the 4th Workshop on Complex Networks CompleNet 2013
Publisher	Springer Verlag
Pages	165-172
Number of pages	8
ISBN (Print)	9783642368431
DOIs	https://doi.org/10.1007/978-3-642-36844-8_16
Publication status	Published - 2013

Publication series

Name	Studies in Computational Intelligence
Volume	476
ISSN (Print)	1860-949X

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

SDG 9 Industry, Innovation, and Infrastructure

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10.1007/978-3-642-36844-8_16

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AB - Heterogeneous k-core percolation is an extension of a percolation model which has interesting applications to the resilience of networks under random damage. In this model, the notion of node robustness is local, instead of global as in uniform k-core percolation. One of the advantages of k-core percolation models is the validity of an analytical mathematical framework for a large class of network topologies. We study ternary mixtures of node types in random networks and show the presence of a new type of critical phenomenon. This scenario may have useful applications in the stability of large scale infrastructures and the description of glass-forming systems.

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PB - Springer Verlag

ER -

Singularities in Ternary Mixtures of k-core Percolation

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