Topological Indices Among Strong Support Vertex

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 ${\mathcal{T}}_{n,\mathrm{\Delta }}$ be a class of trees with $n$ vertices, there are a tree $T^{\mathrm{\prime }}\in {\mathcal{T}}_{n,\mathrm{\Delta }}$ such that $\text{irr}(T^{\mathrm{\prime }})<\text{irr}(T)$.