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» Polychromatic colorings of plane graphs
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MFCS
2004
Springer
15 years 5 months ago
Online Algorithms for Disk Graphs
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...
Ioannis Caragiannis, Aleksei V. Fishkin, Christos ...
73
Voted
JCT
2006
100views more  JCT 2006»
15 years 10 days ago
On 3-colorable plane graphs without 5- and 7-cycles
Baogang Xu
DM
2002
186views more  DM 2002»
15 years 5 days ago
Coloring Eulerian triangulations of the projective plane
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...
Bojan Mohar
96
Voted
COMBINATORICS
2004
108views more  COMBINATORICS 2004»
15 years 7 days ago
On the Chromatic Number of Intersection Graphs of Convex Sets in the Plane
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...
Seog-Jin Kim, Alexandr V. Kostochka, Kittikorn Nak...
DAM
2007
82views more  DAM 2007»
15 years 10 days ago
Every toroidal graph without adjacent triangles is (4, 1)*-choosable
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...
Baogang Xu, Haihui Zhang