Topological Indices Among Strong Support Vertex
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866912371332612096 |
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| author | Hamoud, Jasem Abdullah, Duaa |
| author_facet | Hamoud, Jasem Abdullah, Duaa |
| contents | 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 $\mathcal{T}_{n, Δ}$ be a class of trees with $n$ vertices, there are a tree $T^{\prime} \in \mathcal{T}_{n, Δ}$ such that $\irr(T^{\prime}) < \irr(T)$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_07774 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Topological Indices Among Strong Support Vertex Hamoud, Jasem Abdullah, Duaa Combinatorics 05C05, 05C12, 05C35, 68R10 G.2.2 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 $\mathcal{T}_{n, Δ}$ be a class of trees with $n$ vertices, there are a tree $T^{\prime} \in \mathcal{T}_{n, Δ}$ such that $\irr(T^{\prime}) < \irr(T)$. |
| title | Topological Indices Among Strong Support Vertex |
| topic | Combinatorics 05C05, 05C12, 05C35, 68R10 G.2.2 |
| url | https://arxiv.org/abs/2505.07774 |