Super edge-antimagic total labelings of mK<inf>n,n,n</inf>

Abstract:

An (a, d)-edge-antimagic total labeling on (p, q)-graph G is a one-to-one map f from V(G) &cup; E(G) onto the integers 1,2,...,p + q with the property that the edge-weights, w(uv) = f(u)+f(v)+f(uv) where uv ε E(G), form an arithmetic progression starting from a and having common difference d. Such a labeling is called super if the smallest possible labels appear on the vertices. In this paper, we investigate the existence of super (a, d)-edge-antimagic total labeling of disjoint union of multiple copies of complete tripartite graph and disjoint union of stars.

Año de publicación:

2011

Keywords:

• Super (a,d)-edge-antimagic total labeling
• MK and K ∪ 2sK n,n,n 1,m 1,n

Fuente:

scopus