About: Network extreme eigenvalue: From mutimodal to scale-free networks

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An Entity of Type : schema:ScholarlyArticle, within Data Space : wasabi.inria.fr associated with source document(s)

Attributes	Values
type	Academic Article research paper schema:ScholarlyArticle
isDefinedBy	Covid-on-the-Web dataset
title	Network extreme eigenvalue: From mutimodal to scale-free networks
Creator	Lai, C Chung, N Chew, L
source	PMC
abstract	The extreme eigenvalues of adjacency matrices are important indicators on the influence of topological structures to the collective dynamical behavior of complex networks. Recent findings on the ensemble averageability of the extreme eigenvalue have further authenticated its applicability to the study of network dynamics. However, the ensemble average of extreme eigenvalue has only been solved analytically up to the second order correction. Here, we determine the ensemble average of the extreme eigenvalue and characterize its deviation across the ensemble through the discrete form of random scale-free network. Remarkably, the analytical approximation derived from the discrete form shows significant improvement over previous results, which implies a more accurate prediction of the epidemic threshold. In addition, we show that bimodal networks, which are more robust against both random and targeted removal of nodes, are more vulnerable to the spreading of diseases.
has issue date	2012-03-29(xsd:dateTime)
bibo:doi	10.1063/1.3697990
bibo:pmid	22463015
has license	cc-by
sha1sum (hex)	c24b3eb6e4d5690f5e42ca56bf95535ffef78ff3
schema:url	https://doi.org/10.1063/1.3697990
resource representing a document's title	Network extreme eigenvalue: From mutimodal to scale-free networks
has PubMed Central identifier	PMC7112475
has PubMed identifier	22463015
schema:publication	Chaos
resource representing a document's body	covid:c24b3eb6e4d5690f5e42ca56bf95535ffef78ff3#body_text
is schema:about of	named entity 'ensemble' named entity 'extreme' named entity 'ENSEMBLE' named entity 'EIGENVALUES' named entity 'DISEASES' named entity 'STRUCTURES' named entity 'ADDITION' named entity 'EXTREME' named entity 'AUTHENTICATED' named entity 'ORDER' covid:arg/c24b3eb6e4d5690f5e42ca56bf95535ffef78ff3 named entity 'implies' named entity 'influence' named entity 'Network' named entity 'complex networks' named entity 'scale-free network' named entity 'eigenvalue' named entity 'topology' named entity 'Dirac's delta function' named entity 'scale-free network' named entity 'eigenvalues' named entity 'eigenvalues' named entity 'degree distribution' named entity 'epidemic' named entity 'uncorrelated' named entity 'degree distribution' named entity 'directed network' named entity 'probability distribution' named entity 'complex systems' named entity 'fully connected network' named entity 'probability' named entity 'scale-free network' named entity 'eigenvalues' named entity 'network topology' named entity 'world-wide web' named entity 'correlation' named entity 'eigenvalue' named entity 'eigenvalue' named entity 'eigenvalues' named entity 'eigenvalue' named entity 'ensemble average' named entity 'eigenvalue' named entity 'epidemic' named entity 'ensemble average' named entity 'ensemble average' named entity 'assortativity' named entity 'eigenvalues' named entity 'vertices' named entity 'node 2' named entity 'infectious diseases' named entity 'scale-free networks' named entity 'network structures' named entity 'scale-free networks' named entity 'degree distribution' named entity 'eigenvalues' named entity 'eigenvalues' named entity 'ensemble average' named entity 'epidemic' named entity 'epidemic' named entity 'eigenvalues' named entity 'scale-free network' named entity 'eigenvalue' named entity 'eigenvalues' named entity 'topological structure' named entity 'eigenvalues' named entity 'eigenvalues' named entity 'ensemble average' named entity 'topological structure' named entity 'adjacency matrices' named entity 'eigenvalues' named entity 'eigenvalues' named entity 'eigenvalue' named entity 'ensemble average' named entity 'node degree' named entity 'scale-free networks' named entity 'graph' named entity 'network structure' named entity 'network structure' named entity 'scale-free network'

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