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Citation
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HERO ID
7549676
Reference Type
Journal Article
Title
Status connectivity indices of graphs and its applications to the boiling point of benzenoid hydrocarbons
Author(s)
Ramane, HS; Yalnaik, AS; ,
Year
2016
Volume
55
Issue
1-2
Page Numbers
609-627
DOI
10.1007/s12190-016-1052-5
Web of Science Id
WOS:000409186100031
URL
http://link.springer.com/10.1007/s12190-016-1052-5
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Abstract
The status 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 and respectively, where E(G) 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 indices.
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