23 search results - page 2 / 5 » Polychromatic colorings of plane graphs |
MFCS
2004
Springer
13 years 10 months ago
2004
Springer
We study the on-line versions of two fundamental graph problems, maximum independent set and minimum coloring, for the case of disk graphs which are graphs resulting from intersect...
JCT
2006
13 years 5 months ago
2006
DM
2002
13 years 5 months ago
2002
A simple characterization of the 3, 4, or 5-colorable Eulerian triangulations of the projective plane is given. Key words: Projective plane, triangulation, coloring, Eulerian grap...
COMBINATORICS
2004
13 years 5 months ago
2004
Let G be the intersection graph of a finite family of convex sets obtained by translations of a fixed convex set in the plane. We show that every such graph with clique number k i...
DAM
2007
13 years 5 months ago
2007
In this paper, a structural theorem about toroidal graphs is given that strengthens a result of Borodin on plane graphs. As a consequence, it is proved that every toroidal graph w...