Upper and Lower Bounds for Generalized Wiener Indices on unicyclic graphs
\'Alvaro Mart\'inez-P\'erez, os\'e M. Rodr\'iguez
TL;DR
This paper establishes new inequalities and bounds for generalized Wiener Indices specifically on unicyclic graphs, enhancing understanding of their extremal properties.
Contribution
It introduces novel bounds and characterizations for generalized Wiener Indices on unicyclic graphs, expanding theoretical knowledge in graph topology.
Findings
Derived new upper bounds for generalized Wiener Indices.
Established lower bounds and extremal graph characterizations.
Provided inequalities applicable to a broad family of topological indices.
Abstract
The aim of this paper is to obtain new inequalities for a large family of generalizations of the Wiener Index and to characterize the set of extremal graphs with respect to them. Our main results provide upper and lower bounds for these topological indices on unicyclic graphs.
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Taxonomy
TopicsGraph theory and applications · Spectral Theory in Mathematical Physics