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

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

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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
Number of pages	14
Journal	SYMMETRY
Volume	11
Issue number	8
DOIs	https://doi.org/10.3390/sym11081013
Publication status	Published - 1 Jan 2019
MoE publication type	A1 Journal article-refereed

Keywords

Automorphism of graphs
Graph entropy
Graph products

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10.3390/sym11081013Licence: CC BY

ELEC_Ghorbani_etal_The_Hosoya-Entropy_Symmetry_11_8_2019_finalversionFinal published version, 1.28 MBLicence: CC BY

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AU - Emmert-Streib, Frank

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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.

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KW - Graph entropy

KW - Graph products

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The Hosoya entropy of graphs revisited

Abstract

Keywords

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