A note on distance-based entropy of dendrimers

Modjtaba Ghorbani; Matthias Dehmer; Samaneh Zangi; Abbe Mowshowitz; Frank Emmert-Streib

doi:10.3390/axioms8030098

A note on distance-based entropy of dendrimers

Modjtaba Ghorbani, Matthias Dehmer, Samaneh Zangi, Abbe Mowshowitz, Frank Emmert-Streib

Computing Sciences

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Abstract

This paper introduces a variant of entropy measures based on vertex eccentricity and applies it to all graphs representing the isomers of octane. Taking into account the vertex degree as well (degree-ecc-entropy), we find a good correlation with the acentric factor of octane isomers. In particular, we compute the degree-ecc-entropy for three classes of dendrimer graphs.

Original language	English
Article number	98
Journal	Axioms
Volume	8
Issue number	3
DOIs	https://doi.org/10.3390/axioms8030098
Publication status	Published - 2019
Publication type	A1 Journal article-refereed

Keywords

Dendrimer
Graph entropy
Vertex eccentricity

Publication forum classification

Publication forum level 1

ASJC Scopus subject areas

Analysis
Algebra and Number Theory
Mathematical Physics
Logic
Geometry and Topology

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10.3390/axioms8030098Licence: CC BY

axioms-08-00098-v2Final published version, 388 KBLicence: CC BY

http://urn.fi/URN:NBN:fi:tuni-201909183381Licence: CC BY

Cite this

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title = "A note on distance-based entropy of dendrimers",

abstract = "This paper introduces a variant of entropy measures based on vertex eccentricity and applies it to all graphs representing the isomers of octane. Taking into account the vertex degree as well (degree-ecc-entropy), we find a good correlation with the acentric factor of octane isomers. In particular, we compute the degree-ecc-entropy for three classes of dendrimer graphs.",

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AU - Zangi, Samaneh

AU - Mowshowitz, Abbe

AU - Emmert-Streib, Frank

PY - 2019

Y1 - 2019

N2 - This paper introduces a variant of entropy measures based on vertex eccentricity and applies it to all graphs representing the isomers of octane. Taking into account the vertex degree as well (degree-ecc-entropy), we find a good correlation with the acentric factor of octane isomers. In particular, we compute the degree-ecc-entropy for three classes of dendrimer graphs.

AB - This paper introduces a variant of entropy measures based on vertex eccentricity and applies it to all graphs representing the isomers of octane. Taking into account the vertex degree as well (degree-ecc-entropy), we find a good correlation with the acentric factor of octane isomers. In particular, we compute the degree-ecc-entropy for three classes of dendrimer graphs.

KW - Dendrimer

KW - Graph entropy

KW - Vertex eccentricity

U2 - 10.3390/axioms8030098

DO - 10.3390/axioms8030098

M3 - Article

AN - SCOPUS:85071384174

SN - 2075-1680

VL - 8

JO - Axioms

JF - Axioms

IS - 3

M1 - 98

ER -

A note on distance-based entropy of dendrimers

Abstract

Keywords

Publication forum classification

ASJC Scopus subject areas

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