On d-antimagic labelings for a special class of plane graphs

Abstract:

A bijection λ: VυEυF → {1, 2, 3,..., V + E + F } is called a d-antimagic labeling of type (1, 1, 1) of plane graph G(V, E, F) if the set of s-sided face weights is Ws = {as, as + d, as + 2d,..., as + (fs - 1)d} for some integers s, as and d, where fs is the number of s-sided faces and the face weight is the sum of the labels carried by that face and the edges and vertices surrounding it. In this paper we examine the existence of d-antimagic labelings of type (1, 1, 1) for a special class of plane graphs Cab.

Año de publicación:

2007

Keywords:

Fuente:

scopus