The augmented Zagreb index of a graph is defined as the sum of over all edges of , where is the degrees of the vertex in . In this paper, we characterize the extremal trees with given degree sequence that maximize and minimize the index. Keywords: Augmented Zagreb index, Degree sequence, Tree, Extremal graph. Title: The Augmented Zagreb Index of Trees with Given Degree Sequence Author: Fuqin Zhan International Journal of Novel Research in Physics Chemistry & Mathematics ISSN 2394-9651 Vol. 12, Issue 3, September 2025 - December 2025 Page No: 29-34 Novelty Journals Website: www.noveltyjournals.com Published Date: 27-November-2025 DOI: https://doi.org/10.5281/zenodo.17734160 Paper Download Link (Source) https://www.noveltyjournals.com/upload/paper/The%20Augmented%20Zagreb%20Index-27112025-1.pdf
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