Frontiers of Mathematics in China >

2016 , Vol. 11 >Issue 1: 47 - 54

DOI: https://doi.org/10.1007/s11464-015-0470-2

RESEARCH ARTICLE

Sum-connectivity index of a graph

  • Kinkar Ch. DAS , 1 ,
  • Sumana DAS 2 ,
  • Bo ZHOU 3
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  • 1. Department of Mathematics, Sungkyunkwan University, Suwon 440-746, Korea
  • 2. School of Information and Communication Engineering, Sungkyunkwan University,Suwon 440-746, Korea
  • 3. Department of Mathematics, South China Normal University, Guangzhou 510631, China

Received date: 15 Mar 2015

Accepted date: 10 Apr 2015

Published date: 02 Dec 2015

Copyright

2014 Higher Education Press and Springer-Verlag Berlin Heidelberg
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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 χ(G)=Σvivj∈E(G)​ (di+dj)−1/2. 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.

Key words： Graph; Randićindex; sum-connectivity index; minimum degree

Cite this article

Kinkar Ch. DAS , Sumana DAS , Bo ZHOU . Sum-connectivity index of a graph[J]. Frontiers of Mathematics in China, 2016 , 11(1) : 47 -54 . DOI: 10.1007/s11464-015-0470-2

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