Article citationsMore>>

Jacko, P. and Jendrol, S. (2005) Distance Coloring of the Hexagonal Lattice. Discussiones Mathematicae Graph Theory, 25, 1-xxx.
https://doi.org/10.7151/dmgt.1269

has been cited by the following article:

• TITLE: d-Distance Coloring of Generalized Petersen Graphs P(n, k)

  AUTHORS: Ramy Shaheen, Ziad Kanaya, Samar Jakhlab

  KEYWORDS: Distance Coloring, Generalized Petersen Graphs

  JOURNAL NAME: Open Journal of Discrete Mathematics, Vol.7 No.4, September 13, 2017

  ABSTRACT: A coloring of G is d-distance if any two vertices at distance at most d from each other get different colors. The minimum number of colors in d-distance colorings of G is its d-distance chromatic number, denoted by χd(G). In this paper, we give the exact value of χd(G) (d = 1, 2), for some types of generalized Petersen graphs P(n, k) where k = 1, 2, 3 and arbitrary n.