Sum-connectivity index of a graph

Kinkar Ch Das; Sumana Das; Bo Zhou

doi:10.1007/s11464-015-0470-2

Sum-connectivity index of a graph

Kinkar Ch Das
, Sumana Das
, Bo Zhou

Department of Mathematics

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

28 Scopus citations

Abstract

Let G be a simple connected graph, and let d_i be the degree of its i-th vertex. The sum-connectivity index of the graph G is defined as (Formula Presented.). We discuss the effect on χ(G) of inserting an edge into a graph. Moreover, we obtain the relations between sum-connectivity index and Randić index.

Original language	English
Pages (from-to)	47-54
Number of pages	8
Journal	Frontiers of Mathematics in China
Volume	11
Issue number	1
DOIs	https://doi.org/10.1007/s11464-015-0470-2
State	Published - 1 Feb 2016

Keywords

Graph
minimum degree
Randić index
sum-connectivity index

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10.1007/s11464-015-0470-2

Cite this

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title = "Sum-connectivity index of a graph",

abstract = "Let G be a simple connected graph, and let di be the degree of its i-th vertex. The sum-connectivity index of the graph G is defined as (Formula Presented.). We discuss the effect on χ(G) of inserting an edge into a graph. Moreover, we obtain the relations between sum-connectivity index and Randi{\'c} index.",

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AB - Let G be a simple connected graph, and let di be the degree of its i-th vertex. The sum-connectivity index of the graph G is defined as (Formula Presented.). We discuss the effect on χ(G) of inserting an edge into a graph. Moreover, we obtain the relations between sum-connectivity index and Randić index.

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KW - minimum degree

KW - Randić index

KW - sum-connectivity index

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Sum-connectivity index of a graph

Abstract

Keywords

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