Sciweavers

3211 search results - page 104 / 643
» On the Grundy Number of a Graph
Sort
View
DCG
2008
82views more  DCG 2008»
13 years 10 months ago
Visibility Graphs of Point Sets in the Plane
The visibility graph V(X) of a discrete point set X R2 has vertex set X and an edge xy for every two points x, y X whenever there is no other point in X on the line segment betw...
Florian Pfender
CORR
2007
Springer
116views Education» more  CORR 2007»
13 years 10 months ago
Frugal Colouring of Graphs
A k-frugal colouring of a graph G is a proper colouring of the vertices of G such that no colour appears more than k times in the neighbourhood of a vertex. This type of colouring...
Omid Amini, Louis Esperet, Jan van den Heuvel
CPC
2007
101views more  CPC 2007»
13 years 10 months ago
Colouring Random 4-Regular Graphs
We show that a random 4-regular graph asymptotically almost surely (a.a.s.) has chromatic number 3. The proof uses an efficient algorithm which a.a.s. 3colours a random 4-regular ...
Lingsheng Shi, Nicholas C. Wormald
JGT
2010
89views more  JGT 2010»
13 years 8 months ago
Non-rainbow colorings of 3-, 4- and 5-connected plane graphs
We study vertex-colorings of plane graphs that do not contain a rainbow face, i.e., a face with vertices of mutually distinct colors. If G is a 3-connected plane graph with n vert...
Zdenek Dvorak, Daniel Král', Riste Skrekovs...
ALGORITHMICA
2010
137views more  ALGORITHMICA 2010»
13 years 8 months ago
Deciding k-Colorability of P5-Free Graphs in Polynomial Time
The problem of computing the chromatic number of a P5-free graph (a graph which contains no path on 5 vertices as an induced subgraph) is known to be NP-hard. However, we show tha...
Chính T. Hoàng, Marcin Kaminski, Vad...