特征值优先附着网络 蒲公英结构

Vadood Adami, Zahra Ebadi, Morteza Nattagh-Najafi
{"title":"特征值优先附着网络 蒲公英结构","authors":"Vadood Adami, Zahra Ebadi, Morteza Nattagh-Najafi","doi":"arxiv-2404.09238","DOIUrl":null,"url":null,"abstract":"In this paper we introduce a new type of preferential attachment network, the\ngrowth of which is based on the eigenvalue centrality. In this network, the\nagents attach most probably to the nodes with larger eigenvalue centrality\nwhich represents that the agent has stronger connections. A new network is\npresented, namely a dandelion network, which shares some properties of\nstar-like structure and also a hierarchical network. We show that this network,\nhaving hub-and-spoke topology is not generally scale free, and shows essential\ndifferences with respect to the Barab{\\'a}si-Albert preferential attachment\nmodel. Most importantly, there is a super hub agent in the system (identified\nby a pronounced peak in the spectrum), and the other agents are classified in\nterms of the distance to this super-hub. We explore a plenty of statistical\ncentralities like the nodes degree, the betweenness and the eigenvalue\ncentrality, along with various measures of structure like the community and\nhierarchical structures, and the clustering coefficient. Global measures like\nthe shortest path statistics and the self-similarity are also examined.","PeriodicalId":501305,"journal":{"name":"arXiv - PHYS - Adaptation and Self-Organizing Systems","volume":"71 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-04-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Eigenvalue Preferential Attachment Networks A Dandelion Structure\",\"authors\":\"Vadood Adami, Zahra Ebadi, Morteza Nattagh-Najafi\",\"doi\":\"arxiv-2404.09238\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper we introduce a new type of preferential attachment network, the\\ngrowth of which is based on the eigenvalue centrality. In this network, the\\nagents attach most probably to the nodes with larger eigenvalue centrality\\nwhich represents that the agent has stronger connections. A new network is\\npresented, namely a dandelion network, which shares some properties of\\nstar-like structure and also a hierarchical network. We show that this network,\\nhaving hub-and-spoke topology is not generally scale free, and shows essential\\ndifferences with respect to the Barab{\\\\'a}si-Albert preferential attachment\\nmodel. Most importantly, there is a super hub agent in the system (identified\\nby a pronounced peak in the spectrum), and the other agents are classified in\\nterms of the distance to this super-hub. We explore a plenty of statistical\\ncentralities like the nodes degree, the betweenness and the eigenvalue\\ncentrality, along with various measures of structure like the community and\\nhierarchical structures, and the clustering coefficient. Global measures like\\nthe shortest path statistics and the self-similarity are also examined.\",\"PeriodicalId\":501305,\"journal\":{\"name\":\"arXiv - PHYS - Adaptation and Self-Organizing Systems\",\"volume\":\"71 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-04-14\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"arXiv - PHYS - Adaptation and Self-Organizing Systems\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/arxiv-2404.09238\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - PHYS - Adaptation and Self-Organizing Systems","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2404.09238","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0

摘要

本文介绍了一种新型的优先依附网络,其生长基于特征值中心性。在这种网络中,代理最有可能依附于特征值中心性较大的节点,这代表代理拥有更强的连接。我们提出了一种新的网络,即蒲公英网络,它既具有类星结构的某些特性,又具有层次结构网络的某些特性。我们发现,这种具有枢纽-辐条拓扑结构的网络一般不具有无标度性,而且与 Barab{'a}si-Albert 优先连接模型存在本质区别。最重要的是,系统中存在一个超级枢纽代理(通过频谱中一个明显的峰值来识别),其他代理根据与这个超级枢纽的距离进行分类。我们探索了大量统计中心度,如节点度、节点间度和特征值中心度,以及各种结构度量,如社群结构、层次结构和聚类系数。此外,还研究了最短路径统计和自相似性等全局度量。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Eigenvalue Preferential Attachment Networks A Dandelion Structure
In this paper we introduce a new type of preferential attachment network, the growth of which is based on the eigenvalue centrality. In this network, the agents attach most probably to the nodes with larger eigenvalue centrality which represents that the agent has stronger connections. A new network is presented, namely a dandelion network, which shares some properties of star-like structure and also a hierarchical network. We show that this network, having hub-and-spoke topology is not generally scale free, and shows essential differences with respect to the Barab{\'a}si-Albert preferential attachment model. Most importantly, there is a super hub agent in the system (identified by a pronounced peak in the spectrum), and the other agents are classified in terms of the distance to this super-hub. We explore a plenty of statistical centralities like the nodes degree, the betweenness and the eigenvalue centrality, along with various measures of structure like the community and hierarchical structures, and the clustering coefficient. Global measures like the shortest path statistics and the self-similarity are also examined.
求助全文
通过发布文献求助,成功后即可免费获取论文全文。 去求助
来源期刊
自引率
0.00%
发文量
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
确定
请完成安全验证×
copy
已复制链接
快去分享给好友吧!
我知道了
右上角分享
点击右上角分享
0
联系我们:info@booksci.cn Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术官方微信