Academic Journal
On local distance antimagic chromatic number of graphs disjoint union with 1-regular graphs
| العنوان: | On local distance antimagic chromatic number of graphs disjoint union with 1-regular graphs |
|---|---|
| المؤلفون: | M, Nalliah |
| المصدر: | Proyecciones (Antofagasta, On line); Vol. 43 No. 2 (2024); 473-494 ; Proyecciones. Revista de Matemática; Vol. 43 Núm. 2 (2024); 473-494 ; 0717-6279 |
| بيانات النشر: | Universidad Católica del Norte. |
| سنة النشر: | 2024 |
| مصطلحات موضوعية: | Distance antimagic graphs, local distance antimagic chromatic number, star and complete graphs, 05C78, 05C15 |
| الوصف: | Let $G$ be a graph on $p$ vertices and $q$ edges with no isolated vertices. A bijection $f: V\rightarrow \{1,2,3,.,p\}$ is called local distance antimagic labeling, if for any two adjacent vertices $u$ and $v$, we have $w(u) \neq w(v)$, where $w(u)=\sum_{x\epsilon N(u)} {f(x)}$. The local distance antimagic chromatic number $\chi_{lda}(G)$ is defined to be the minimum number of colors taken over all colorings of $G$ induced by local distance antimagic labelings of $G$. In this paper, we obtained the necessary and sufficient condition for the local distance antimagic chromatic number of some disjoint union of graphs with 1-regular graphs equal to the number of distinct neighbors of its pendant vertices. We also gave a correct result in [Local Distance Antimagic Vertex Coloring of Graphs, https://arxiv.org/abs/2106.01833v1(2021)].%magic Vertex Coloring of Graphs, https://arxiv.org/abs/2106.01833v1 |
| نوع الوثيقة: | article in journal/newspaper |
| وصف الملف: | application/pdf |
| اللغة: | English |
| Relation: | https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/5963/4481; https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/5963 |
| DOI: | 10.22199/issn.0717-6279-5963 |
| الاتاحة: | https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/5963 https://doi.org/10.22199/issn.0717-6279-5963 |
| Rights: | Derechos de autor 2024 Nalliah M ; https://creativecommons.org/licenses/by/4.0 |
| رقم الانضمام: | edsbas.EC1A6F3E |
| قاعدة البيانات: | BASE |
| DOI: | 10.22199/issn.0717-6279-5963 |
|---|