On properties of distance-based entropies on fullerene graphs

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

doi:10.3390/e21050482

On properties of distance-based entropies on fullerene graphs

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

^*Corresponding author for this work

Shahid Rajaee Teacher Training University
Upper Austria University of Applied Sciences
Private University for Health Sciences, Medical Informatics and Technology
Nankai University
City University of New York
Tampere University
Institute of Biosciences and Medical Technology

Research output: Contribution to journal › Article › peer-review

14 Citations (Scopus)

Abstract

In this paper, we study several distance-based entropy measures on fullerene graphs. These include the topological information content of a graph I_α(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_ecc. We compare these measures on two infinite classes of fullerene graphs denoted by A_12n+4 and B_12n+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.

Original language	English
Article number	482
Journal	Entropy
Volume	21
Issue number	5
DOIs	https://doi.org/10.3390/e21050482
Publication status	Published - May 2019
Externally published	Yes

Keywords

Eccentricity
Graph entropy
Hosoya polynomial

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title = "On properties of distance-based entropies on fullerene graphs",

abstract = "In this paper, we study several distance-based entropy measures on fullerene graphs. These include the topological information content of a graph Iα(G), a degree-based entropy measure, the eccentric-entropy I fσ(G), the Hosoya entropy H(G) and, finally, the radial centric information entropy Hecc. We compare these measures on two infinite classes of fullerene graphs denoted by A12n+4 and B12n+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.",

keywords = "Eccentricity, Graph entropy, Hosoya polynomial",

author = "Modjtaba Ghorbani and Matthias Dehmer and Mina Rajabi-Parsa and Abbe Mowshowitz and Frank Emmert-Streib",

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volume = "21",

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T1 - On properties of distance-based entropies on fullerene graphs

AU - Ghorbani, Modjtaba

AU - Dehmer, Matthias

AU - Rajabi-Parsa, Mina

AU - Mowshowitz, Abbe

AU - Emmert-Streib, Frank

PY - 2019/5

Y1 - 2019/5

N2 - In this paper, we study several distance-based entropy measures on fullerene graphs. These include the topological information content of a graph Iα(G), a degree-based entropy measure, the eccentric-entropy I fσ(G), the Hosoya entropy H(G) and, finally, the radial centric information entropy Hecc. We compare these measures on two infinite classes of fullerene graphs denoted by A12n+4 and B12n+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.

AB - In this paper, we study several distance-based entropy measures on fullerene graphs. These include the topological information content of a graph Iα(G), a degree-based entropy measure, the eccentric-entropy I fσ(G), the Hosoya entropy H(G) and, finally, the radial centric information entropy Hecc. We compare these measures on two infinite classes of fullerene graphs denoted by A12n+4 and B12n+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.

KW - Eccentricity

KW - Graph entropy

KW - Hosoya polynomial

UR - https://www.scopus.com/pages/publications/85066607428

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DO - 10.3390/e21050482

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AN - SCOPUS:85066607428

SN - 1099-4300

VL - 21

JO - Entropy

JF - Entropy

IS - 5

M1 - 482

ER -

On properties of distance-based entropies on fullerene graphs

Abstract

Keywords

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