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» Cleaning Interval Graphs
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122
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ICCI
1991
15 years 1 months ago
On the k-Coloring of Intervals
The problem of coloring a set of n intervals (from the real line) with a set of k colors is studied. In such a coloring, two intersecting intervals must receive distinct colors. O...
Martin C. Carlisle, Errol L. Lloyd
133
Voted
DAM
2011
14 years 5 months ago
Optimization problems in multiple subtree graphs
We study various optimization problems in t-subtree graphs, the intersection graphs of tsubtrees, where a t-subtree is the union of t disjoint subtrees of some tree. This graph cl...
Danny Hermelin, Dror Rawitz
99
Voted
JAPLL
2006
114views more  JAPLL 2006»
14 years 10 months ago
The monadic second-order logic of graphs XV: On a conjecture by D. Seese
A conjecture by D. Seese states that if a set of graphs has a decidable monadic second-order theory, then it is the image of a set of trees under a transformation defined by monad...
Bruno Courcelle
FAW
2009
Springer
134views Algorithms» more  FAW 2009»
15 years 4 months ago
Pathwidth is NP-Hard for Weighted Trees
The pathwidth of a graph G is the minimum clique number of H minus one, over all interval supergraphs H of G. We prove in this paper that the PATHWIDTH problem is NP-hard for parti...
Rodica Mihai, Ioan Todinca
91
Voted
SODA
2008
ACM
84views Algorithms» more  SODA 2008»
14 years 11 months ago
Robust cost colorings
We consider graph coloring problems where the cost of a coloring is the sum of the costs of the colors, and the cost of a color is a monotone concave function of the total weight ...
Takuro Fukunaga, Magnús M. Halldórss...