On L(d,1)-labeling of Cartesian product of a cycle and a path

  • Authors:
  • Shih-Hu Chiang;Jing-Ho Yan

  • Affiliations:
  • Department of Mathematics, Aletheia University, Tamsui 251, Taiwan;Department of Mathematics, Aletheia University, Tamsui 251, Taiwan

  • Venue:
  • Discrete Applied Mathematics
  • Year:
  • 2008

Quantified Score

Hi-index 0.04

Visualization

Abstract

A k-L(d,1)-labeling of a graph G is a function f from the vertex set V(G) to {0,1,...,k} such that |f(u)-f(v)|=1 if d(u,v)=2 and |f(u)-f(v)|=d if d(u,v)=1. The L(d,1)-labeling problem is to find the L(d,1)-labeling number @l"d(G) of a graph G, which is the minimum cardinality k such that G has a k-L(d,1)-labeling. In this paper, we determine the L(d,1)-labeling number of the Cartesian product of a cycle and a path.