The Hosoya entropy of graphs revisited

Modjtaba Ghorbani; Matthias Dehmer; Abbe Mowshowitz; Jin Tao; Frank Emmert-Streib

doi:10.3390/sym11081013

The Hosoya entropy of graphs revisited

Modjtaba Ghorbani^*
, Matthias Dehmer
, Abbe Mowshowitz
, Jin Tao
, 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
Aalto University
Peking University
Tampere University
Institute of Biosciences and Medical Technology

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

Abstract

In this paper we extend earlier results on Hosoya entropy (H-entropy) of graphs, and establish connections between H-entropy and automorphisms of graphs. In particular, we determine the H-entropy of graphs whose automorphism group has exactly two orbits, and characterize some classes of graphs with zero H-entropy.

Original language	English
Article number	1013
Journal	Symmetry
Volume	11
Issue number	8
DOIs	https://doi.org/10.3390/sym11081013
Publication status	Published - 2019
Externally published	Yes

Keywords

Automorphism of graphs
Graph entropy
Graph products

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10.3390/sym11081013

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title = "The Hosoya entropy of graphs revisited",

abstract = "In this paper we extend earlier results on Hosoya entropy (H-entropy) of graphs, and establish connections between H-entropy and automorphisms of graphs. In particular, we determine the H-entropy of graphs whose automorphism group has exactly two orbits, and characterize some classes of graphs with zero H-entropy.",

keywords = "Automorphism of graphs, Graph entropy, Graph products",

author = "Modjtaba Ghorbani and Matthias Dehmer and Abbe Mowshowitz and Jin Tao and Frank Emmert-Streib",

note = "Publisher Copyright: {\textcopyright} 2019 by the authors.",

year = "2019",

doi = "10.3390/sym11081013",

language = "English",

volume = "11",

journal = "Symmetry",

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T1 - The Hosoya entropy of graphs revisited

AU - Ghorbani, Modjtaba

AU - Dehmer, Matthias

AU - Mowshowitz, Abbe

AU - Tao, Jin

AU - Emmert-Streib, Frank

PY - 2019

Y1 - 2019

N2 - In this paper we extend earlier results on Hosoya entropy (H-entropy) of graphs, and establish connections between H-entropy and automorphisms of graphs. In particular, we determine the H-entropy of graphs whose automorphism group has exactly two orbits, and characterize some classes of graphs with zero H-entropy.

AB - In this paper we extend earlier results on Hosoya entropy (H-entropy) of graphs, and establish connections between H-entropy and automorphisms of graphs. In particular, we determine the H-entropy of graphs whose automorphism group has exactly two orbits, and characterize some classes of graphs with zero H-entropy.

KW - Automorphism of graphs

KW - Graph entropy

KW - Graph products

UR - https://www.scopus.com/pages/publications/85070525428

U2 - 10.3390/sym11081013

DO - 10.3390/sym11081013

M3 - Article

AN - SCOPUS:85070525428

SN - 2073-8994

VL - 11

JO - Symmetry

JF - Symmetry

IS - 8

M1 - 1013

ER -

The Hosoya entropy of graphs revisited

Abstract

Keywords

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