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Extremal reformulated forgotten index of trees, unicyclic and bicyclic graphs

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… Click to show full 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: trees unicyclic; reformulated forgotten; forgotten index; unicyclic bicyclic; bicyclic graphs; index

Journal Title: Filomat
Year Published: 2024

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