Szczegóły publikacji
Opis bibliograficzny
Distance magic graphs $G$ x $C_{n}$ / Sylwia CICHACZ // Discrete Applied Mathematics ; ISSN 0166-218X. — 2014 — vol. 177, s. 80–87. — Bibliogr. s. 86–87, Abstr.
Autor
Słowa kluczowe
Dane bibliometryczne
| ID BaDAP | 86160 |
|---|---|
| Data dodania do BaDAP | 2014-12-09 |
| Tekst źródłowy | URL |
| DOI | 10.1016/j.dam.2014.05.044 |
| Rok publikacji | 2014 |
| Typ publikacji | artykuł w czasopiśmie |
| Otwarty dostęp |  |
| Czasopismo/seria | Discrete Applied Mathematics |
Abstract
A Gamma-distance magic labeling of a graph G = (V, E) with vertical bar V vertical bar = n is a bijection f from V to an Abelian group Gamma of order n such that the weight w(x) = Sigma(y is an element of NG(x)) f(y) of every vertex x is an element of V is equal to the same element mu is an element of Gamma, 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 deg(v) equivalent to c (mod 2(p+2)) for some constant c for any v is an element of V(G), then there exists a Gamma-distance magic labeling for any Abelian group Gamma of order 4n for the direct product G X C-4. Moreover if c is even, then there exists a Gamma-distance magic labeling for any Abelian group P of order 8n for the direct product G X C-8. (C) 2014 Elsevier B.V. All rights reserved.
