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Title of Journal: J Appl Math Comput

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Abbravation: Journal of Applied Mathematics and Computing

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Springer Berlin Heidelberg

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DOI

10.1007/s11669-006-0031-1

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1865-2085

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Status connectivity indices of graphs and its appl

Authors: Harishchandra S Ramane Ashwini S Yalnaik
Publish Date: 2016/09/13
Volume: 55, Issue: 1-2, Pages: 609-627
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Abstract

The status sigma u of a vertex u is defined as the sum of the distances between u and all other vertices of a graph G In this paper we have defined the first and second status connectivity indices of a graph G as S 1G = sum nolimits uv in EGsigma u+ sigma v and S 2G = sum nolimits uv in EGsigma usigma v respectively where EG denotes the edge set of G Status connectivity indices of certain graphs are computed Also the bounds for the status connectivity indices are determined Further linear regression analysis of the distance based indices with the boiling points of benzenoid hydrocarbons is carried out The linear model based on the status index is better than the models corresponding to the other distance based indicesAuthors are grateful to the referees for their valuable suggestions The first author is thankful to the University Grants Commission UGC Govt of India for support through grant under UGCSAP DRSIII 20162021 F510/3/DRSIII /2016 SAPI Dated 29th Feb 2016 The second author is thankful to the University Grants Commission UGC Govt of India for support through Rajiv Gandhi National Fellowship No F1171/201415/RGNF201415SCKAR74909

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