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Properties of entropy-based topological measures of fullerenes

Research output: Contribution to journalReview ArticleScientificpeer-review

Details

Original languageEnglish
Article number740
JournalMathematics
Volume8
Issue number5
DOIs
Publication statusPublished - 1 May 2020
Publication typeA2 Review article in a scientific journal

Abstract

Afullerene is a cubic three-connected graph whose faces are entirely composed of pentagons and hexagons. Entropy applied to graphs is one of the significant approaches to measuring the complexity of relational structures. Recently, the research on complex networks has received great attention, because many complex systems can be modelled as networks consisting of components as well as relations among these components. Information-theoretic measures have been used to analyze chemical structures possessing bond types and hetero-atoms. In the present article, we reviewed various entropy-based measures on fullerene graphs. In particular, we surveyed results on the topological information content of a graph, namely the orbit-entropy Ia(G), the symmetry index, a degree-based entropy measure Iλ(G), the eccentric-entropy ifσ(G) and the Hosoya entropy H(G).

ASJC Scopus subject areas

Keywords

  • Automorphism group, Eccentricity, Eigenvalue, Fullerene, Graph entropy

Publication forum classification

Field of science, Statistics Finland