Covering codes in Sierpinski graphsArticleAuthors: Laurent Beaudou
1; Sylvain Gravier
2,3; Sandi Klavžar
4,5,6; Matjaz Kovse
2,6; Michel Mollard
2
0000-0003-1959-6855##0000-0003-2859-275X##NULL##NULL##NULL
Laurent Beaudou;Sylvain Gravier;Sandi Klavžar;Matjaz Kovse;Michel Mollard
Graphs and Algorithms
[en]
For a graph G and integers a and b, an (a, b)-code of G is a set C of vertices such that any vertex from C has exactly a neighbors in C and any vertex not in C has exactly b neighbors in C. In this paper we classify integers a and b for which there exist (a, b)-codes in Sierpinski graphs.
Volume: Vol. 12 no. 3
Section: Graph and Algorithms
Published on: January 1, 2010
Imported on: March 26, 2015
Keywords: [INFO.INFO-DM]Computer Science [cs]/Discrete Mathematics [cs.DM], [fr] codes in graphs, perfect codes, Sierpinski graphs