On tricyclic graphs with maximum atom-bond sum-connectivity index
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Updated: Jun 17, 2025

Construction and Systematical Symmetric Studies of a Series of Supramolecular Clusters with Binary or Ternary Ammonium Triphenylacetates
Published on: February 15, 2016
Sadia Noureen1, Rimsha Batool1, Abeer M Albalahi2
1Department of Mathematics, Faculty of Science, University of Gujrat, Gujrat, Pakistan.
Abstract:
The sum-connectivity, Randić, and atom-bond connectivity indices have a prominent place among those topological indices that depend on the graph's vertex degrees. The ABS (atom-bond sum-connectivity) index is a variant of all the aforementioned three indices, which was recently put forward. Let be the class of all connected tricyclic graphs of order n. Recently, the problem of determining graphs from having the least possible value of the ABS index was solved in (Zuo et al., 2024 [39]) for the case when the maximum degree of the considered graphs does not exceed 4. The present paper addresses the problem of finding graphs from having the largest possible value of the ABS index for .
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