Bounds for the geometric-arithmetic index of unicyclic graphs
Sunyo Moon, Seungkook Park
TL;DR
This paper establishes bounds for the geometric-arithmetic index in unicyclic graphs and identifies the extremal graphs that achieve these bounds.
Contribution
It introduces new bounds for the geometric-arithmetic index specific to unicyclic graphs and characterizes the extremal graphs.
Findings
Derived lower and upper bounds for the index.
Identified extremal graphs that attain these bounds.
Abstract
We present lower and upper bounds for the geometric-arithmetic index of unicyclic graphs and provide extremal graphs for the corresponding bounds.
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Taxonomy
TopicsGraph theory and applications · Graph Labeling and Dimension Problems · Synthesis and Properties of Aromatic Compounds