617 search results - page 17 / 124 » On the Chromatic Number of Random Graphs |
EJC
2006
13 years 7 months ago
2006
The general symplectic graph Sp(2, q) is introduced. It is shown that Sp(2, q) is strongly regular. Its parameters are computed, its chromatic number and group of graph automorphis...
CORR
2008
Springer
13 years 7 months ago
2008
Springer
Map vertices of a graph to (not necessarily distinct) points of the plane so that two adjacent vertices are mapped at least a unit distance apart. The plane-width of a graph is th...
ICALP
2011
Springer
12 years 11 months ago
2011
Springer
In [13], Erd˝os et al. defined the local chromatic number of a graph as the minimum number of colors that must appear within distance 1 of a vertex. For any ∆ ≥ 2, there are ...
COMBINATORICS
2006
13 years 7 months ago
2006
We prove the following extension of an old result of Andr
JCT
2008
13 years 7 months ago
2008
This paper introduces a new strategy for playing the marking game on graphs. Using this strategy, we prove that if G is a planar graph, then the game colouring number of G, and he...