On the general sum-connectivity index of connected graphs with given order and girth
نویسنده
چکیده
In this paper, we show that in the class of connected graphs G of order n ≥ 3 having girth at least equal to k, 3 ≤ k ≤ n, the unique graph G having minimum general sum-connectivity index χα(G) consists of Ck and n−k pendant vertices adjacent to a unique vertex of Ck, if−1 ≤ α < 0. This property does not hold for zeroth-order general Randić index Rα(G).
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ورودعنوان ژورنال:
- EJGTA
دوره 4 شماره
صفحات -
تاریخ انتشار 2016