Network Entropies Based on Independent Sets and Matchings

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摘要

Entropy-based measures have been used to characterize the structure of complex networks. Various graph entropies based on different graph parameters have been proposed and studied. So, it has been intricate to decide which measure is the right one for solving a particular problem. In this paper, we introduce graph entropy measures based on independent sets and matchings of graphs. The values of entropies of some special graphs are calculated and we draw several conclusions regrading the usability of the measures. Based on our findings, we conclude that it should be demanding studying extremal values of the novel entropies.

论文关键词:Shannon’s entropy,Graph entropy,Independent set,Matching

论文评审过程:Received 27 October 2016, Revised 16 January 2017, Accepted 13 February 2017, Available online 26 March 2017, Version of Record 26 March 2017.

论文官网地址:https://doi.org/10.1016/j.amc.2017.02.021