Abstract: Given a graph , the augmented Zagreb index
is defined to be
where
and
are vertices of
,
denotes the degree of the vertex
. In this paper, we consider chemical trees with a given number of pendent vertices and derive sharp lower bounds for the
index among this class of trees. We also characterize the extremal chemical trees with a fixed number of pendent vertices.
Keywords: Chemical trees, Augmented Zagreb index, Topological indices, Extremal graphs.
Title: Minimum Augmented Zagreb Index on Chemical Trees with Given Number of Pendent Vertices
Author: Fuqin Zhan
International Journal of Mathematics and Physical Sciences Research
ISSN 2348-5736 (Online)
Vol. 13, Issue 2, October 2025 - March 2026
Page No: 53-64
Research Publish Journals
Website: www.researchpublish.com
Published Date: 06-December-2025
