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» On the adaptable chromatic number of graphs
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SODA
2004
ACM
160views Algorithms» more  SODA 2004»
13 years 8 months ago
On colorings of squares of outerplanar graphs
We study vertex colorings of the square G2 of an outerplanar graph G. We find the optimal bound of the inductiveness, chromatic number and the clique number of G2 as a function of...
Geir Agnarsson, Magnús M. Halldórsso...
COMBINATORICS
1999
64views more  COMBINATORICS 1999»
13 years 7 months ago
Orthogonal Colorings of Graphs
An orthogonal coloring of a graph G is a pair {c1, c2} of proper colorings of G, having the property that if two vertices are colored with the same color in c1, then they must hav...
Yair Caro, Raphael Yuster
JGAA
2008
100views more  JGAA 2008»
13 years 7 months ago
Parameters of Bar k-Visibility Graphs
Bar k-visibility graphs are graphs admitting a representation in which the vertices correspond to horizontal line segments, called bars, and the edges correspond to vertical lines...
Stefan Felsner, Mareike Massow
DAM
2007
94views more  DAM 2007»
13 years 7 months ago
The harmonious coloring problem is NP-complete for interval and permutation graphs
In this paper, we prove that the harmonious coloring problem is NP-complete for connected interval and permutation graphs. Given a simple graph G, a harmonious coloring of G is a ...
Katerina Asdre, Kyriaki Ioannidou, Stavros D. Niko...
COCOA
2007
Springer
14 years 1 months ago
On the Complexity of Some Colorful Problems Parameterized by Treewidth
Abstract. We study the complexity of several coloring problems on graphs, parameterized by the treewidth t of the graph: (1) The list chromatic number χl(G) of a graph G is defin...
Michael R. Fellows, Fedor V. Fomin, Daniel Lokshta...