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一种考虑串并联结构的网络结构熵

A Network Structure Entropy Considering Series-Parallel Structures.

作者信息

Cai Meng, Liu Jiaqi, Cui Ying

机构信息

School of Humanities and Social Sciences, Xi'an Jiaotong University, Xi'an 710049, China.

School of Mechano-Electronic Engineering, Xidian University, Xi'an 710071, China.

出版信息

Entropy (Basel). 2022 Jun 21;24(7):852. doi: 10.3390/e24070852.

DOI:10.3390/e24070852
PMID:35885076
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC9322655/
Abstract

Entropy is an important indicator to measure network heterogeneity. We propose a new network structure entropy, SP (series-parallel) structure entropy, based on the global network topology while adding a medial measure that considers the series-parallel structure. First, the results of special networks show that SP structure entropy can overcome other structure's entropy deficiencies to some extent. Then, through simulation analysis of typical networks, the validity and applicability of SP structure entropy in describing general networks are verified. Finally, we analyze an enterprise consulting network to demonstrate the superiority of the SP structure entropy for real network analysis.

摘要

熵是衡量网络异质性的重要指标。我们基于全局网络拓扑结构提出了一种新的网络结构熵,即串并联(SP)结构熵,并添加了一种考虑串并联结构的中间度量。首先,特殊网络的结果表明,SP结构熵在一定程度上可以克服其他结构熵的不足。然后,通过对典型网络的仿真分析,验证了SP结构熵在描述一般网络时的有效性和适用性。最后,我们分析了一个企业咨询网络,以证明SP结构熵在实际网络分析中的优越性。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/cc5e/9322655/29466ddec514/entropy-24-00852-g008.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/cc5e/9322655/8257a0917644/entropy-24-00852-g001.jpg
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https://cdn.ncbi.nlm.nih.gov/pmc/blobs/cc5e/9322655/94b2970ff0fd/entropy-24-00852-g003.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/cc5e/9322655/468246268087/entropy-24-00852-g004.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/cc5e/9322655/d8dbd75aef6a/entropy-24-00852-g005.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/cc5e/9322655/75b954671e9c/entropy-24-00852-g006.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/cc5e/9322655/c38bf92672c2/entropy-24-00852-g007.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/cc5e/9322655/29466ddec514/entropy-24-00852-g008.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/cc5e/9322655/8257a0917644/entropy-24-00852-g001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/cc5e/9322655/825315991a63/entropy-24-00852-g002.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/cc5e/9322655/94b2970ff0fd/entropy-24-00852-g003.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/cc5e/9322655/468246268087/entropy-24-00852-g004.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/cc5e/9322655/d8dbd75aef6a/entropy-24-00852-g005.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/cc5e/9322655/75b954671e9c/entropy-24-00852-g006.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/cc5e/9322655/c38bf92672c2/entropy-24-00852-g007.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/cc5e/9322655/29466ddec514/entropy-24-00852-g008.jpg

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