JOURNAL ARTICLE

Extremal reformulated forgotten index of trees, unicyclic and bicyclic graphs

Ishita SarkarManjunath C Nanjappaİvan Gutman

Year: 2024 Journal:   Filomat Vol: 38 (1)Pages: 25-32   Publisher: University of Niš

Abstract

The reformulated forgotten index (RF) is the edge version of the ordinary forgotten index. We describe graph transformations, by means of which RF increases or decreases. Using these transformations, the trees, unicyclic, and bicyclic graphs extremal w.r.t. RF are characterized.

Keywords:
Mathematics Index (typography) Combinatorics Discrete mathematics Computer science

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Topics

Graph theory and applications
Physical Sciences →  Mathematics →  Geometry and Topology
Graph Labeling and Dimension Problems
Physical Sciences →  Computer Science →  Computational Theory and Mathematics
Limits and Structures in Graph Theory
Physical Sciences →  Mathematics →  Discrete Mathematics and Combinatorics

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