Academic Journal
Some results on (a,d)-distance antimagic labeling
العنوان: | Some results on (a,d)-distance antimagic labeling |
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المؤلفون: | Patel, S. K., Vasava, Jayesh |
المصدر: | Proyecciones (Antofagasta, On line); Vol. 39 No. 2 (2020); 361-381 ; Proyecciones. Revista de Matemática; Vol. 39 Núm. 2 (2020); 361-381 ; 0717-6279 |
بيانات النشر: | Universidad Católica del Norte. |
سنة النشر: | 2020 |
مصطلحات موضوعية: | Distance magic graphs, (a, d)-distance antimagic graphs, Circulant graphs, Cartesian and corona product of graphs, 05C78, Graph labelling (graceful graphs, bandwidth, etc.) |
الوصف: | Let G = (V,E) be a graph of order N and f : V → {1, 2,.,N} be a bijection. For every vertex v of graph G, we define its weight w(v) as the sum ∑u∈N(v) f(u), where N(v) denotes the open neighborhood of v. If the set of all vertex weights forms an arithmetic progression {a, a + d, a + 2d, . . . , a + (N − 1)d}, then f is called an (a, d)-distance antimagic labeling and the graph G is called (a, d)-distance antimagic graph. In this paper we prove the existence or non-existence of (a, d)- distance antimagic labeling of some well-known graphs. |
نوع الوثيقة: | article in journal/newspaper |
وصف الملف: | application/pdf |
اللغة: | English |
Relation: | https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/3475/3366; https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/3475 |
DOI: | 10.22199/issn.0717-6279-2020-02-0022 |
الاتاحة: | https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/3475 https://doi.org/10.22199/issn.0717-6279-2020-02-0022 |
Rights: | Derechos de autor 2020 S. K. Patel, Jayesh Vasava |
رقم الانضمام: | edsbas.31D137C5 |
قاعدة البيانات: | BASE |
DOI: | 10.22199/issn.0717-6279-2020-02-0022 |
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