On extremal Sombor index of trees with a given dissociation number $φ$
Fuente:
arXiv
Salvato in:
| Autore principale: | |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2022
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866916890647986176 |
|---|---|
| author | Das, Joyentanuj |
| author_facet | Das, Joyentanuj |
| contents | The Sombor index is a topological index in graph theory defined by Gutman in 2021. In this article, we find the maximum Sombor index of trees of order $\mathbf{n}$ with a given dissociation number $φ$, where $\ceil*{\frac{2\mathbf{n}}{3}} \leq φ(G) \leq \mathbf{n}-1$. We also provide the unique graph among the chosen class where the maximum Sombor index is attained. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2212_10045 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | On extremal Sombor index of trees with a given dissociation number $φ$ Das, Joyentanuj Combinatorics 05C10, 05C35, 05C38 The Sombor index is a topological index in graph theory defined by Gutman in 2021. In this article, we find the maximum Sombor index of trees of order $\mathbf{n}$ with a given dissociation number $φ$, where $\ceil*{\frac{2\mathbf{n}}{3}} \leq φ(G) \leq \mathbf{n}-1$. We also provide the unique graph among the chosen class where the maximum Sombor index is attained. |
| title | On extremal Sombor index of trees with a given dissociation number $φ$ |
| topic | Combinatorics 05C10, 05C35, 05C38 |
| url | https://arxiv.org/abs/2212.10045 |