Orbit Entropy and Symmetry Index Revisited

Maryam Jalali-Rad; Modjtaba Ghorbani; Matthias Dehmer; Frank Emmert-Streib

doi:10.3390/MATH9101086

Orbit Entropy and Symmetry Index Revisited

Maryam Jalali-Rad
, Modjtaba Ghorbani^*
, Matthias Dehmer
, Frank Emmert-Streib

^*Corresponding author for this work

Shahid Rajaee Teacher Training University
Swiss Distance University of Applied Science
Private University for Health Sciences, Medical Informatics and Technology
Nankai University
Tampere University

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

1 Citation (Scopus)

Abstract

The size of the orbits or similar vertices of a network provides important information regarding each individual component of the network. In this paper, we investigate the entropy or information content and the symmetry index for several classes of graphs and compare the values of this measure with that of the symmetry index of certain graphs.

Original language	English
Article number	1086
Journal	Mathematics
Volume	9
Issue number	10
DOIs	https://doi.org/10.3390/MATH9101086
Publication status	Published - 1 May 2021
Externally published	Yes

Keywords

automorphism group
entropy
symmetry index

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10.3390/MATH9101086

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title = "Orbit Entropy and Symmetry Index Revisited",

abstract = "The size of the orbits or similar vertices of a network provides important information regarding each individual component of the network. In this paper, we investigate the entropy or information content and the symmetry index for several classes of graphs and compare the values of this measure with that of the symmetry index of certain graphs.",

keywords = "automorphism group, entropy, symmetry index",

author = "Maryam Jalali-Rad and Modjtaba Ghorbani and Matthias Dehmer and Frank Emmert-Streib",

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T1 - Orbit Entropy and Symmetry Index Revisited

AU - Jalali-Rad, Maryam

AU - Ghorbani, Modjtaba

AU - Dehmer, Matthias

AU - Emmert-Streib, Frank

PY - 2021/5/1

Y1 - 2021/5/1

N2 - The size of the orbits or similar vertices of a network provides important information regarding each individual component of the network. In this paper, we investigate the entropy or information content and the symmetry index for several classes of graphs and compare the values of this measure with that of the symmetry index of certain graphs.

AB - The size of the orbits or similar vertices of a network provides important information regarding each individual component of the network. In this paper, we investigate the entropy or information content and the symmetry index for several classes of graphs and compare the values of this measure with that of the symmetry index of certain graphs.

KW - automorphism group

KW - entropy

KW - symmetry index

UR - https://www.scopus.com/pages/publications/85147662514

U2 - 10.3390/MATH9101086

DO - 10.3390/MATH9101086

M3 - Article

AN - SCOPUS:85147662514

SN - 2227-7390

VL - 9

JO - Mathematics

JF - Mathematics

IS - 10

M1 - 1086

ER -

Orbit Entropy and Symmetry Index Revisited

Abstract

Keywords

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