Article citationsMore>>

Ito, T., Kato, A., Zhou, X. and Nishizeki, T. (2007) Algorithms for Finding Distance-Edge-Colorings of Graphs. Journal of Discrete Algorithms, 5, 304-322.

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.