Eigenvalues of transition weight matrix for a family of weighted networks

doi:10.1515/math-2022-0464

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	Eigenvalues of transition weight matrix for a family of weighted networks
	Su, Jing4,5 ; Wang, Xiaomin4,5 ; Zhang, Mingjun1,2,3 ; Yao, Bing 6
	2022-10-21
发表期刊	OPEN MATHEMATICS
卷号	20 期号:1 页码:1296-1308
摘要	In this article, we design a family of scale-free networks and study its random target access time and weighted spanning trees through the eigenvalues of transition weight matrix. First, we build a type of fractal network with a weight factor r r and a parameter m m . Then, we obtain all the eigenvalues of its transition weight matrix by revealing the recursive relationship between eigenvalues in every two consecutive time steps and obtain the multiplicities corresponding to these eigenvalues. Furthermore, we provide a closed-form expression of the random target access time for the network studied. The obtained results show that the random target access is not affected by the weight; it is only affected by parameters m m and t t . Finally, we also enumerate the weighted spanning trees of the studied networks through the obtained eigenvalues.
关键词	Laplacian eigenvalue weighted network random walk random target access time weighted spanning tree
DOI	10.1515/math-2022-0464
收录类别	SCIE
ISSN	2391-5455
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000871633300001
出版者	DE GRUYTER POLAND SP Z O O
原始文献类型	Article
引用统计	被引频次[WOS]：0 [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	http://ir.lzufe.edu.cn/handle/39EH0E1M/33023
专题	MBA教育中心经济学院信息工程与人工智能学院
作者单位	1.Lanzhou Univ Finance & Econ, China Northwest Ctr Financial Res, Lanzhou 730020, Peoples R China; 2.Lanzhou Univ Finance & Econ, Sch Informat Engn, Lanzhou 730020, Peoples R China; 3.Key Lab E Business Technol & Applicat, Lanzhou 730020, Peoples R China; 4.Peking Univ, Sch Elect Engn & Comp Sci, Beijing 100871, Peoples R China; 5.Peking Univ, Key Lab High Confidence Software Technol, Beijing 100871, Peoples R China; 6.Northwest Normal Univ, Coll Math & Stat, Lanzhou 730070, Peoples R China
推荐引用方式 GB/T 7714	Su, Jing,Wang, Xiaomin,Zhang, Mingjun,et al. Eigenvalues of transition weight matrix for a family of weighted networks[J]. OPEN MATHEMATICS,2022,20(1):1296-1308.
APA	Su, Jing,Wang, Xiaomin,Zhang, Mingjun,&Yao, Bing.(2022).Eigenvalues of transition weight matrix for a family of weighted networks.OPEN MATHEMATICS,20(1),1296-1308.
MLA	Su, Jing,et al."Eigenvalues of transition weight matrix for a family of weighted networks".OPEN MATHEMATICS 20.1(2022):1296-1308.