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## Proyecciones (Antofagasta)

*Print version* ISSN 0716-0917

#### Abstract

JEYANTHI, P. and DAISY, K. Jeya. Z_{k}-Magic Labeling of Star of Graphs.* Proyecciones (Antofagasta)* [online]. 2020, vol.39, n.1, pp.31-50.
ISSN 0716-0917. http://dx.doi.org/10.22199/issn.0717-6279-2020-01-0003.

Abstract

For any non-trivial abelian group A under addition a graph G is said to be A-magic if there exists a labeling f : E(G) → A − {0} such that, the vertex labeling f + defined as f + (v) = Pf(uv) taken over all edges uv incident at v is a constant. An A-magic graph G is said to be Z k -magic graph if the group A is Z k , the group of integers modulo k and these graphs are referred to as k-magic graphs. In this paper we prove that the graphs such as star of cycle, flower, double wheel, shell, cylinder, gear, generalised Jahangir, lotus inside a circle, wheel, closed helm graph are Z k -magic graphs.

**Keywords
:
**A-magic labeling; Flower; Double wheel; Shell; Cylinder; Gear; Generalised Jahangir; Lotus inside a circle; Wheel; Closed helm graph.