20 search results - page 1 / 4 » An almost quadratic bound on vertex Folkman numbers |
JCT
2010
13 years 3 months ago
2010
The vertex Folkman number F(r, n, m), n < m, is the smallest integer t such that there exists a Km-free graph of order t with the property that every r-coloring of its vertices...
COMBINATORICS
2006
13 years 5 months ago
2006
JDA
2006
13 years 4 months ago
2006
Assume that each vertex of a graph G is assigned a nonnegative integer weight and that l and u are nonnegative integers. One wishes to partition G into connected components by del...
ARSCOM
2004
13 years 4 months ago
2004
The domatic number of a graph G is the maximum number of dominating sets into which the vertex set of G can be partitioned. We show that the domatic number of a random r-regular g...
SIGECOM
2009
ACM
13 years 11 months ago
2009
ACM
The Target Set Selection problem proposed by Kempe, Kleinberg, and Tardos, gives a nice clean combinatorial formulation for many problems arising in economy, sociology, and medicin...