Extremal Unicyclic and Bicyclic graphs with respect to Harary index

Kexiang Xu; Kinkar Ch Das

Extremal Unicyclic and Bicyclic graphs with respect to Harary index

Kexiang Xu
, Kinkar Ch Das

Department of Mathematics

Nanjing University of Aeronautics and Astronautics

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

40 Scopus citations

Abstract

The Harary index is defined as the sum of reciprocals of distances between all pairs of vertices of a connected graph. In this paper, we determined the extremal (maximal and minimal) unicyclic and bicyclic graphs with respect to Harary index.

Original language	English
Pages (from-to)	373-383
Number of pages	11
Journal	Bulletin of the Malaysian Mathematical Sciences Society
Volume	36
Issue number	2
State	Published - 2013

Keywords

Bicyclic graph
Diameter
Harary index
Unicyclic graph

Cite this

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title = "Extremal Unicyclic and Bicyclic graphs with respect to Harary index",

abstract = "The Harary index is defined as the sum of reciprocals of distances between all pairs of vertices of a connected graph. In this paper, we determined the extremal (maximal and minimal) unicyclic and bicyclic graphs with respect to Harary index.",

keywords = "Bicyclic graph, Diameter, Harary index, Unicyclic graph",

author = "Kexiang Xu and Das, \{Kinkar Ch\}",

year = "2013",

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AU - Das, Kinkar Ch

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AB - The Harary index is defined as the sum of reciprocals of distances between all pairs of vertices of a connected graph. In this paper, we determined the extremal (maximal and minimal) unicyclic and bicyclic graphs with respect to Harary index.

KW - Bicyclic graph

KW - Diameter

KW - Harary index

KW - Unicyclic graph

UR - https://www.scopus.com/pages/publications/84880107765

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AN - SCOPUS:84880107765

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VL - 36

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JO - Bulletin of the Malaysian Mathematical Sciences Society

JF - Bulletin of the Malaysian Mathematical Sciences Society

IS - 2

ER -

Extremal Unicyclic and Bicyclic graphs with respect to Harary index

Abstract

Keywords

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