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Extremal \(F\)-index of a graph with \(k\) cut edges. (English) Zbl 1474.05209

Summary: The so called forgotten index or \(F\)-index is defined as the sum of cubes of vertex degrees of a molecular graph. In this paper, we have obtained the upper and lower bounds of \(F\)-index for the graphs with \(k\) cut edges and also we have characterized the extremal graphs.

MSC:

05C35 Extremal problems in graph theory
05C07 Vertex degrees
05C40 Connectivity
05C09 Graphical indices (Wiener index, Zagreb index, Randić index, etc.)

References:

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