Maximum Atom-Bond Sum-Connectivity Index in Unicyclic Graphs of Fixed Girth
The ABS (atom-bond sum-connectivity) index of a graph G is given by the formula:where dx denotes the degree of vertex x in the graph G.The primary objective of this research paper is to identify the maximum, and second-maximum ABS index among all unicyclic graphs with a fixed girth.Additionally, we provide a characterization of the specific graphs that attain these extreme ABS values.
Authors
- Suresh Elumalai (ORCID: https://orcid.org/0000-0001-7935-1644)
- P. Nithya
- Selvaraj Balachandran (ORCID: https://orcid.org/0000-0003-2782-6315)
- Hechao Liu (ORCID: https://orcid.org/0000-0001-7606-4842)
Publication Details
- Journal
- match Communications in Mathematical and in Computer Chemistry
- Published
- 2025-01-01
- DOI
- https://doi.org/10.46793/match94-3.07224
- Primary Topic
- Graph theory and applications
- Type
- article
- Field-Weighted Citation Impact
- 0.00