Szczegóły publikacji
Opis bibliograficzny
Group distance magic labeling of direct product of graphs / Marcin Anholcer, Sylwia CICHACZ, Iztok Peterin, Aleksandra Tepeh // Ars Mathematica Contemporanea ; ISSN 1855-3966. — 2015 — vol. 9 iss. 1, s. 93–107. — Bibliogr. s. 107, Abstr. — Publikacja dostępna online od: 2014-06-27
Autorzy (4)
- Anholcer Marcin
- AGHCichacz-Przeniosło Sylwia
- Peterin Iztok
- Tepeh Aleksandra
Słowa kluczowe
Dane bibliometryczne
| ID BaDAP | 86179 |
|---|---|
| Data dodania do BaDAP | 2014-12-09 |
| Tekst źródłowy | URL |
| DOI | 10.26493/1855-3974.432.2c9 |
| Rok publikacji | 2015 |
| Typ publikacji | artykuł w czasopiśmie |
| Otwarty dostęp |  |
| Creative Commons | |
| Czasopismo/seria | Ars Mathematica Contemporanea |
Abstract
Let G = (V, E) be a graph and an Abelian group, both of order n. A group distance magic labeling of G is a bijection l : V -> Gamma for which there exists mu is an element of Gamma such that Sigma(x is an element of N(v)) l(x) = mu for all v is an element of V, where N (v) is the neighborhood of v. In this paper we consider group distance magic labelings of direct product of graphs. We show that if G is an r-regular graph of order n and m = 4 or m = 8 and r is even, then the direct product C-m x G is Gamma-distance magic for every Abelian group of order mn. We also prove that C-m x C-n is Z(mn)-distance magic if and only if m is an element of {4, 8} or n is an element of{4, 8} or m, n equivalent to 0 (mod 4). It is also shown that if m, n not equivalent to 0 (mod 4) then C-m x C-n is not Gamma-distance magic for any Abelian group Gamma of order mn.
