About: Impact of degree heterogeneity on the behavior of trapping in Koch networks

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About: Impact of degree heterogeneity on the behavior of trapping in Koch networks Goto Sponge NotDistinct Permalink

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

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type	Academic Article research paper schema:ScholarlyArticle
isDefinedBy	Covid-on-the-Web dataset
title	Impact of degree heterogeneity on the behavior of trapping in Koch networks
Creator	Gao, Shuyang Xie, Wenlei Zhang, Zhongzhi
source	PMC
abstract	Previous work shows that the mean first-passage time (MFPT) for random walks to a given hub node (node with maximum degree) in uncorrelated random scale-free networks is closely related to the exponent [Formula: see text] of power-law degree distribution [Formula: see text] , which describes the extent of heterogeneity of scale-free network structure. However, extensive empirical research indicates that real networked systems also display ubiquitous degree correlations. In this paper, we address the trapping issue on the Koch networks, which is a special random walk with one trap fixed at a hub node. The Koch networks are power-law with the characteristic exponent [Formula: see text] in the range between 2 and 3, they are either assortative or disassortative. We calculate exactly the MFPT that is the average of first-passage time from all other nodes to the trap. The obtained explicit solution shows that in large networks the MFPT varies lineally with node number [Formula: see text] , which is obviously independent of [Formula: see text] and is sharp contrast to the scaling behavior of MFPT observed for uncorrelated random scale-free networks, where [Formula: see text] influences qualitatively the MFPT of trapping problem.
has issue date	2010-11-10(xsd:dateTime)
bibo:doi	10.1063/1.3493406
bibo:pmid	21198082
has license	cc-by
sha1sum (hex)	4d64fdae4e12b2123320d7e7e8b16b94c19e6ac1
schema:url	https://doi.org/10.1063/1.3493406
resource representing a document's title	Impact of degree heterogeneity on the behavior of trapping in Koch networks
has PubMed Central identifier	PMC7117061
has PubMed identifier	21198082
schema:publication	Chaos
resource representing a document's body	covid:4d64fdae4e12b2123320d7e7e8b16b94c19e6ac1#body_text
is schema:about of	named entity 'special' named entity 'scale-free network' named entity 'NETWORKS' named entity 'VARIES' named entity 'SHARP' »more»

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