MATEMATIČKI VESNIK
МАТЕМАТИЧКИ ВЕСНИК



MATEMATIČKI VESNIK
EXTREMAL $F$-INDEX OF A GRAPH WITH $k$ CUT EDGES
R. Amin, S.M.A. Nayeem

Abstract

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.

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Keywords: $F$-index; cut edges; transformation.

MSC: 05C35, 05C07, 05C40

Pages:  146--153     

Volume  72 ,  Issue  2 ,  2020