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A Network Structure Entropy Considering Series-Parallel Structures
Authors:Meng Cai  Jiaqi Liu  Ying Cui
Affiliation:1.School of Humanities and Social Sciences, Xi’an Jiaotong University, Xi’an 710049, China;2.School of Mechano-Electronic Engineering, Xidian University, Xi’an 710071, China;
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.
Keywords:complex network   entropy   series-parallel structure   heterogeneity   consulting network
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