Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4651984 | Electronic Notes in Discrete Mathematics | 2014 | 6 Pages |
Abstract
For every natural number h, a graph G is said to be h-magic if there exists a labelling l:E(G)âZh\{0} such that the induced vertex set labelling l+:V(G)âZh defined byl+(v)=âuvâE(G)l(uv), is a constant map. When this constant is zero, it is said that G admits a zero-sum h-magic labelling. The null set of a graph G, denoted by N(G), is the set of all natural numbers hâN such that G admits an h-zero-sum magic labelling. In 2007, E. Salehi determined the null set of complete bipartite graphs. In this paper we generalize this result by obtaining the null set of complete multipartite graphs.
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
Authors
S. Akbari, S. Bahramian,