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Total stress as a topological index

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In this article, we see the total stress of a graph as a topological index and obtain a formula for computing total stress index oftrees. Also, we prove that total stress index of a graph G is zero iff Gis complete. Further, a QSPR analysis has been carried to demonstratethat total stress index can be used as a predictive measure for physical properties of lower alkanes. Linear regression models involving totalstress index have been presented for some physical properties of loweralkanes.

Abstract

In this article, we see the total stress of a graph as a topological index and obtain a formula for computing total stress index oftrees. Also, we prove that total stress index of a graph G is zero iff Gis complete. Further, a QSPR analysis has been carried to demonstratethat total stress index can be used as a predictive measure for physical properties of lower alkanes. Linear regression models involving totalstress index have been presented for some physical properties of loweralkanes.

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