Szczegóły publikacji
Opis bibliograficzny
Note on group distance magic graphs $G[C_{4}]$ / Sylwia CICHACZ // Graphs and Combinatorics ; ISSN 0911-0119. — 2014 — vol. 30 iss. 3, s. 565–571. — Bibliogr. s. 571, Abstr.
Autor
Słowa kluczowe
Dane bibliometryczne
| ID BaDAP | 86176 |
|---|---|
| Data dodania do BaDAP | 2014-12-09 |
| Tekst źródłowy | URL |
| DOI | 10.1007/s00373-013-1294-z |
| Rok publikacji | 2014 |
| Typ publikacji | artykuł w czasopiśmie |
| Otwarty dostęp |  |
| Czasopismo/seria | Graphs and Combinatorics |
Abstract
A group distance magic labeling or a -distance magic labeling of a graph G = (V, E) with is a bijection f from V to an Abelian group of order n such that the weight of every vertex is equal to the same element , called the magic constant. In this paper we will show that if G is a graph of order n = 2 (p) (2k + 1) for some natural numbers p, k such that for some constant c for any , then there exists a -distance magic labeling for any Abelian group of order 4n for the composition G[C (4)]. Moreover we prove that if is an arbitrary Abelian group of order 4n such that for some Abelian group of order n, then there exists a -distance magic labeling for any graph G[C (4)], where G is a graph of order n and n is an arbitrary natural number.
