On eccentricity-based entropy measures for dendrimers

Rongbing Huang; Muhammad Kamran Siddiqui; Shazia Manzoor; Sarfraz Ahmad; Murat Cancan

doi:10.1016/j.heliyon.2021.e07762

On eccentricity-based entropy measures for dendrimers

Heliyon. 2021 Aug 16;7(8):e07762. doi: 10.1016/j.heliyon.2021.e07762. eCollection 2021 Aug.

Authors

Rongbing Huang¹, Muhammad Kamran Siddiqui², Shazia Manzoor², Sarfraz Ahmad², Murat Cancan³

Affiliations

¹ School of Computer Science Chengdu University, Chengdu, China.
² Department of Mathematics, COMSATS University Islamabad, Lahore Campus, Pakistan.
³ Faculty of Education, Van Yuzuncu Yil University, Van, Turkey.

Abstract

The eccentricity-based entropy inspired by Shannon's entropy approach is the information-theoretic quantity to figure out the structural information of complex networks. The investigation for advance biomedical utilization of dendrimers has improved the synthesis of radical based molecules. Categorically, attaining radical dendrimers has initiated their use in different fields such as anti-tumor agents and as magnetic resonance imaging. The use of radical dendrimers has increased the possibility of establishing new kinds of devices based on para-magnetic axioms of organic radicals. In this article, we discussed dendrimer based on cyclotriphosphazene ( $N_{3} P_{3}$ ) which has balanced edge groups and these are examined by EPR temperature spectrum. Firstly, we computed eccentricity-based indices and then we computed eccentricity based entropies by developing an acquaintance between these indices and their entropies. Moreover we presented our computed result numerically and graphically which leads to good importance of our contribution.

Keywords: Cyclotriphosphazene-based dendrimer; Eccentricity-based indices; Entropy; Molecular graph.