Title of article
On the general sum-connectivity index of connected graphs with given order and girth
Author/Authors
Tomescu, Ioan University of Bucharest - Faculty of Mathematics and Computer Science, Romania
From page
1
To page
7
Abstract
In this paper, we show that in the class of connected graphs G of order n ≥3 having girth atleast equal to k, 3 ≤ k ≤ n, the unique graph G having minimum general sum-connectivity indexα(G) consists of Ck and nk pendant vertices adjacent to a unique vertex of Ck, if -1 ≤ α 0.This property does not hold for zeroth-order general Randi´c index 0Rα(G).
Keywords
Girth , pendant vertex , general sum , connectivity index , zeroth , order general Randi´c index , subadditive function , convex function , Jensen’s inequality
Journal title
Electronic Journal of Graph Theory and Applications (EJGTA)
Journal title
Electronic Journal of Graph Theory and Applications (EJGTA)
Record number
2553691
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