Extremal reformulated forgotten index of trees, unicyclic and bicyclic graphs-Reference-Cited by-同舟云学术

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Extremal reformulated forgotten index of trees, unicyclic and bicyclic graphs

Published:2024 Issue:1 Volume:38 Page:25-32
ISSN:0354-5180
Container-title:Filomat
language:en
Short-container-title:Filomat

Author:

Sarkar Ishita¹,Nanjappa Manjunath¹,Gutman Ivan²^ORCID

Affiliation:

1. Department of Mathematics, CHRIST (Deemed to be University), Bengaluru, India

2. Faculty of Science, University of Kragujevac, Kragujevac, Serbia

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.

Publisher

National Library of Serbia

Reference16 articles.

1. S. Akhter, M. Imran, Computing the forgotten topological index of four operations on graphs, AKCE Int. J. Graphs Comb. 14 (2017), 70-79.

2. H. Aram, N. Dehgardi, Reformulated F-index of graph operations, Commun. Comb. Optim. 2 (2017), 87-98.

3. B. Borovićanin, K. C. Das, B. Furtula, I. Gutman, Bounds for Zagreb indices, MATCH Commun. Math. Comput. Chem. 78 (2017), 17-100.

4. Z. Che, Z. Chen, Lower and upper bounds of the forgotten topological index, MATCH Commun. Math. Comput. Chem. 76 (2016), 635-648.

5. O. Colakoglu Havare, A. K. Havare, Computation of the forgotten topological index and co-index for carbon base nanomaterial, Polyc. Arom. Comp. 42 (2022), 3488-3500.

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