Nonpreferential Attachment Leads to Scale-Free or Not

Many studies have considered the preferential attachment mechanism to cause scale-free networks. On the contrary, a network evolution model based on nonpreferential attachment is proposed to explain some non-scale-free network, and the existence of a stable degree distribution of the model is theore...

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Main Authors:	Chuankui Yan, Nan Meng, Yu Yang
Format:	Article
Language:	English
Published:	Hindawi Limited 2021-01-01
Series:	Mathematical Problems in Engineering
Online Access:	http://dx.doi.org/10.1155/2021/5530048

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spelling	doaj-b23c07d58d6646cc884ae7bf49151d9e2021-05-17T00:00:53ZengHindawi LimitedMathematical Problems in Engineering1563-51472021-01-01202110.1155/2021/5530048Nonpreferential Attachment Leads to Scale-Free or NotChuankui Yan0Nan Meng1Yu Yang2College of Mathematics and PhysicsCollege of Mathematics and PhysicsCollege of Mathematics and PhysicsMany studies have considered the preferential attachment mechanism to cause scale-free networks. On the contrary, a network evolution model based on nonpreferential attachment is proposed to explain some non-scale-free network, and the existence of a stable degree distribution of the model is theoretically proven. Three methods are suggested to estimate the distribution. The model’s significance shows that preferential attachment is not the only mechanism of tail power-law distribution, which gives a reasonable explanation to non-scale-free phenomenon. Our results provide a new train of thought for understanding the degree distribution of network.http://dx.doi.org/10.1155/2021/5530048
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Chuankui Yan Nan Meng Yu Yang
spellingShingle	Chuankui Yan Nan Meng Yu Yang Nonpreferential Attachment Leads to Scale-Free or Not Mathematical Problems in Engineering
author_facet	Chuankui Yan Nan Meng Yu Yang
author_sort	Chuankui Yan
title	Nonpreferential Attachment Leads to Scale-Free or Not
title_short	Nonpreferential Attachment Leads to Scale-Free or Not
title_full	Nonpreferential Attachment Leads to Scale-Free or Not
title_fullStr	Nonpreferential Attachment Leads to Scale-Free or Not
title_full_unstemmed	Nonpreferential Attachment Leads to Scale-Free or Not
title_sort	nonpreferential attachment leads to scale-free or not
publisher	Hindawi Limited
series	Mathematical Problems in Engineering
issn	1563-5147
publishDate	2021-01-01
description	Many studies have considered the preferential attachment mechanism to cause scale-free networks. On the contrary, a network evolution model based on nonpreferential attachment is proposed to explain some non-scale-free network, and the existence of a stable degree distribution of the model is theoretically proven. Three methods are suggested to estimate the distribution. The model’s significance shows that preferential attachment is not the only mechanism of tail power-law distribution, which gives a reasonable explanation to non-scale-free phenomenon. Our results provide a new train of thought for understanding the degree distribution of network.
url	http://dx.doi.org/10.1155/2021/5530048
work_keys_str_mv	AT chuankuiyan nonpreferentialattachmentleadstoscalefreeornot AT nanmeng nonpreferentialattachmentleadstoscalefreeornot AT yuyang nonpreferentialattachmentleadstoscalefreeornot
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Nonpreferential Attachment Leads to Scale-Free or Not

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