EXTREMAL $F$-INDEX OF A GRAPH WITH $k$ CUT EDGES

Authors

  • R. Amin Department of Education, Assam University, Silchar – 788 011, India Author
  • S.M.A. Nayeem Department of Mathematics and Statistics, Aliah University, Kolkata – 700 160, India Author

Keywords:

$F$-index, cut edges, transformation

Subjects:

05C35, 05C07, 05C40

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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Published

2020-04-15

Issue

Vol. 72 No. 2 (2020): Vol. 72, Issue 2

Section

Articles

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Copyright (c) 2020 Authors retain copyright to their work.

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.