The maximum Hosoya index of unicyclic graphs with diameter at most four

Weijun Liu; Jingwen Ban; Lihua Feng; Tao Cheng; Frank Emmert-Streib; Matthias Dehmer

doi:10.3390/sym11081034

The maximum Hosoya index of unicyclic graphs with diameter at most four

Weijun Liu, Jingwen Ban, Lihua Feng, Tao Cheng, Frank Emmert-Streib, Matthias Dehmer

Research Center Steyr

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3 Citations (Scopus)

Abstract

The Hosoya index of a graph is defined by the total number of the matchings of the graph. In this paper, we determine the maximum Hosoya index of unicyclic graphs with n vertices and diameter 3 or 4. Our results somewhat answer a question proposed by Wagner and Gutman in 2010 for unicyclic graphs with small diameter.

Original language	English
Article number	1034
Journal	Symmetry
Volume	11
Issue number	8
DOIs	https://doi.org/10.3390/sym11081034
Publication status	Published - 2019

Keywords

Diameter
Hosoya index
Unicyclic graphs

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10.3390/sym11081034

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title = "The maximum Hosoya index of unicyclic graphs with diameter at most four",

abstract = "The Hosoya index of a graph is defined by the total number of the matchings of the graph. In this paper, we determine the maximum Hosoya index of unicyclic graphs with n vertices and diameter 3 or 4. Our results somewhat answer a question proposed by Wagner and Gutman in 2010 for unicyclic graphs with small diameter.",

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AU - Liu, Weijun

AU - Ban, Jingwen

AU - Feng, Lihua

AU - Cheng, Tao

AU - Emmert-Streib, Frank

AU - Dehmer, Matthias

PY - 2019

Y1 - 2019

N2 - The Hosoya index of a graph is defined by the total number of the matchings of the graph. In this paper, we determine the maximum Hosoya index of unicyclic graphs with n vertices and diameter 3 or 4. Our results somewhat answer a question proposed by Wagner and Gutman in 2010 for unicyclic graphs with small diameter.

AB - The Hosoya index of a graph is defined by the total number of the matchings of the graph. In this paper, we determine the maximum Hosoya index of unicyclic graphs with n vertices and diameter 3 or 4. Our results somewhat answer a question proposed by Wagner and Gutman in 2010 for unicyclic graphs with small diameter.

KW - Diameter

KW - Hosoya index

KW - Unicyclic graphs

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U2 - 10.3390/sym11081034

DO - 10.3390/sym11081034

M3 - Article

AN - SCOPUS:85070495373

SN - 2073-8994

VL - 11

JO - Symmetry

JF - Symmetry

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ER -

The maximum Hosoya index of unicyclic graphs with diameter at most four

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Keywords

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