关于富勒烯图上基于距离的熵的性质

On Properties of Distance-Based Entropies on Fullerene Graphs.

作者信息

Ghorbani Modjtaba, Dehmer Matthias, Rajabi-Parsa Mina, Mowshowitz Abbe, Emmert-Streib Frank

机构信息

Department of Mathematics, Faculty of Science, Shahid Rajaee Teacher Training University, Tehran 6785-136, Iran.

Steyr School of Management, University of Applied Sciences Upper Austria, 4400 Steyr Campus, Austria.

出版信息

Entropy (Basel). 2019 May 10;21(5):482. doi: 10.3390/e21050482.

DOI:10.3390/e21050482

PMID:33267196

原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC7514971/

Abstract

In this paper, we study several distance-based entropy measures on fullerene graphs. These include the topological information content of a graph I a ( G ) , a degree-based entropy measure, the eccentric-entropy I f σ ( G ) , the Hosoya entropy H ( G ) and, finally, the radial centric information entropy H e c c . We compare these measures on two infinite classes of fullerene graphs denoted by A 12 n + 4 and B 12 n + 6 . We have chosen these measures as they are easily computable and capture meaningful graph properties. To demonstrate the utility of these measures, we investigate the Pearson correlation between them on the fullerene graphs.

摘要

在本文中，我们研究了富勒烯图上的几种基于距离的熵度量。这些包括图(I_a(G))的拓扑信息含量，一种基于度的熵度量，偏心熵(I_f\sigma(G))，细矢熵(H(G))，以及最后，径向中心信息熵(H_{ecc})。我们在由(A_{12n + 4})和(B_{12n + 6})表示的两类无限富勒烯图上比较了这些度量。我们选择这些度量是因为它们易于计算且能捕捉有意义的图性质。为了证明这些度量的效用，我们研究了它们在富勒烯图上的皮尔逊相关性。