Article citationsMore>>

Havet, F., van den Heuvel, J., McDiarmid, C. and Reed, B. (2007) List Colouring Squares of Planar Graphs. Electronic Notes in Discrete Mathematics, 29, 515-519.

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.