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arXiv · 2505.07774

Topological Indices Among Strong Support Vertex

Jasem Hamoud·Duaa Abdullah
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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 $\irr(T^{\prime}) < \irr(T)$.

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Jasem Hamoud, Duaa Abdullah. 2025-05-12. Topological Indices Among Strong Support Vertex. https://arxiv.org/abs/2505.07774

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