Academic Journal

Some results on (a,d)-distance antimagic labeling

التفاصيل البيبلوغرافية
العنوان: Some results on (a,d)-distance antimagic labeling
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
الوصف
DOI:10.22199/issn.0717-6279-2020-02-0022