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What is New Inequalities for Geometric-Arithmetic Index about?

This document presents a study on new inequalities involving the geometric-arithmetic index (GA1) of graphs. It begins with background on topological indices and how GA1 was introduced as a successor to the Randić index. The authors then prove a new inequality that improves on prior work, showing GA1 is bounded above by the square root of nM1(G)/2, where M1 is the first Zagreb index. Equality holds only for regular graphs. The goal is to better understand relationships between GA1 and other topological indi

Author

dragance106

Language

EN