Academic Journal
On group vertex magic graphs
| العنوان: | On group vertex magic graphs |
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| المؤلفون: | N. Kamatchi, K. Paramasivam, A.V. Prajeesh, K. Muhammed Sabeel, S. Arumugam |
| المصدر: | AKCE International Journal of Graphs and Combinatorics, Vol 17, Iss 1, Pp 461-465 (2020) |
| بيانات النشر: | Taylor & Francis Group, 2020. |
| سنة النشر: | 2020 |
| المجموعة: | LCC:Mathematics |
| مصطلحات موضوعية: | -vertex magic, group vertex magic graph, weight of a vertex, tree, Mathematics, QA1-939 |
| الوصف: | Let be a simple undirected graph and let be an additive abelian group with identity 0. A mapping is said to be a -vertex magic labeling of if there exists an element of such that for any vertex of , where is the open neighborhood of A graph that admits such a labeling is called an -vertex magic graph. If is -vertex magic graph for any nontrivial abelian group , then is called a group vertex magic graph. In this paper, we obtain a few necessary conditions for a graph to be group vertex magic. Further, when , we give a characterization of trees with diameter at most 4 which are -vertex magic. |
| نوع الوثيقة: | article |
| وصف الملف: | electronic resource |
| اللغة: | English |
| تدمد: | 0972-8600 2543-3474 |
| Relation: | https://doaj.org/toc/0972-8600; https://doaj.org/toc/2543-3474 |
| DOI: | 10.1016/j.akcej.2019.04.001 |
| URL الوصول: | https://doaj.org/article/c243a6ee04764f30b0171757900a936a |
| رقم الانضمام: | edsdoj.243a6ee04764f30b0171757900a936a |
| قاعدة البيانات: | Directory of Open Access Journals |
| تدمد: | 09728600 25433474 |
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| DOI: | 10.1016/j.akcej.2019.04.001 |