Topological Indices Among Strong Support Vertex

Abstract

In this paper, we provide the irregularity properties of trees with strong support vertex by analyzing two prominent topological indices: the Albertson index and the Sigma index. We further establish extremal bounds for both indices across families of trees defined by given degree sequences. Let $T_1$ and $T_2$ be a star trees of order $n$, where $T_1\cong T_2$, then, we provide Albertson index of $T_1\cong T_2$. Let ${\mathcal{T}}_{n,\Delta }$ be a class of trees with $n$ vertices, there are a tree $T^{\prime }\in {\mathcal{T}}_{n,\Delta }$ such that $\irr(T^{\prime}) < \irr(T)$.

arXiv comment12 pages, 2 figures, 1 table, Comments welcome!