617 search results - page 2 / 124 » On the Chromatic Number of Random Graphs |
DAM
2008
13 years 5 months ago
2008
This paper presents algorithms to find vertex-critical and edgecritical subgraphs in a given graph G, and demonstrates how these critical subgraphs can be used to determine the ch...
DM
2008
13 years 5 months ago
2008
For any graph G, the k-improper chromatic number k (G) is the smallest number of colours used in a colouring of G such that each colour class induces a subgraph of maximum degree ...
FCT
2009
Springer
13 years 12 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, ...
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...
COMBINATORICA
2011
12 years 5 months ago
2011
Given independent random points X1, . . . , Xn ∈ Rd with common probability distribution ν, and a positive distance r = r(n) > 0, we construct a random geometric graph Gn wi...