The Structure and First-Passage Properties of Generalized Weighted Koch Networks

doi:10.3390/e24030409

LZUFE-KMS > 经济学院

	The Structure and First-Passage Properties of Generalized Weighted Koch Networks
	Su, Jing1,2 ; Zhang, Mingjun3,4,5 ; Yao, Bing 6
	2022-03
发表期刊	ENTROPY
卷号	24 期号:3
摘要	Characterizing the topology and random walk of a random network is difficult because the connections in the network are uncertain. We propose a class of the generalized weighted Koch network by replacing the triangles in the traditional Koch network with a graph R-s according to probability 0 <= p <= 1 and assign weight to the network. Then, we determine the range of several indicators that can characterize the topological properties of generalized weighted Koch networks by examining the two models under extreme conditions, p = 0 and p = 1, including average degree, degree distribution, clustering coefficient, diameter, and average weighted shortest path. In addition, we give a lower bound on the average trapping time (ATT) in the trapping problem of generalized weighted Koch networks and also reveal the linear, super-linear, and sub-linear relationships between ATT and the number of nodes in the network.
关键词	Koch network degree distribution diameter random walk average trapping time
DOI	10.3390/e24030409
收录类别	SCIE
语种	英语
WOS研究方向	Physics
WOS类目	Physics, Multidisciplinary
WOS记录号	WOS:000775604500001
出版者	MDPI
原始文献类型	Article
EISSN	1099-4300
引用统计	被引频次：1[WOS] [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/32020
专题	经济学院信息工程与人工智能学院
作者单位	1.Peking Univ, Sch Elect Engn & Comp Sci, Beijing 100871, Peoples R China; 2.Peking Univ, Key Lab High Confidence Software Technol, Beijing 100871, Peoples R China; 3.Lanzhou Univ Finance & Econ, China Northwest Ctr Financial Res, Lanzhou 730020, Peoples R China; 4.Lanzhou Univ Finance & Econ, Sch Informat Engn, Lanzhou 730020, Peoples R China; 5.Key Lab Business Technol & Applicat, Lanzhou 730020, 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,Zhang, Mingjun,Yao, Bing. The Structure and First-Passage Properties of Generalized Weighted Koch Networks[J]. ENTROPY,2022,24(3).
APA	Su, Jing,Zhang, Mingjun,&Yao, Bing.(2022).The Structure and First-Passage Properties of Generalized Weighted Koch Networks.ENTROPY,24(3).
MLA	Su, Jing,et al."The Structure and First-Passage Properties of Generalized Weighted Koch Networks".ENTROPY 24.3(2022).