43 search results - page 2 / 9 » The game chromatic number of random graphs |
ENDM
2000
13 years 4 months ago
2000
We propose a new exact algorithm for finding the chromatic number of a graph G. The algorithm attempts to determine the smallest possible induced subgraph G' of G which has t...
FCT
2009
Springer
13 years 11 months ago
2009
Springer
We study the empire colouring problem (as defined by Percy Heawood in 1890) for maps whose dual planar graph is a tree, with empires formed by exactly r countries. We prove that, ...
STOC
2004
ACM
14 years 5 months ago
2004
ACM
Given d (0, ) let kd be the smallest integer k such that d < 2k log k. We prove that the chromatic number of a random graph G(n, d/n) is either kd or kd + 1 almost surely.
ICALP
2007
Springer
13 years 11 months ago
2007
Springer
In this paper we consider the classical Erd˝os-R´enyi model of random graphs Gn,p. We show that for p = p(n) ≤ n−3/4−δ , for any fixed δ > 0, the chromatic number χ...
APPROX
2004
Springer
13 years 10 months ago
2004
Springer
Given any integer d ≥ 3, let k be the smallest integer such that d < 2k log k. We prove that with high probability the chromatic number of a random d-regular graph is k, k + 1...