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» Weighted Coloring on Planar, Bipartite and Split Graphs: Com...
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ISAAC
2004
Springer
141views Algorithms» more  ISAAC 2004»
13 years 10 months ago
Weighted Coloring on Planar, Bipartite and Split Graphs: Complexity and Improved Approximation
We study complexity and approximation of min weighted node coloring in planar, bipartite and split graphs. We show that this problem is NP-complete in planar graphs, even if they a...
Jérôme Monnot, Vangelis Th. Paschos, ...
ALGORITHMICA
2004
150views more  ALGORITHMICA 2004»
13 years 4 months ago
Sum Coloring of Bipartite Graphs with Bounded Degree
We consider the Chromatic Sum Problem on bipartite graphs which appears to be much harder than the classical Chromatic Number Problem. We prove that the Chromatic Sum Problem is NP...
Michal Malafiejski, Krzysztof Giaro, Robert Jancze...
ICALP
2011
Springer
12 years 8 months ago
Vertex Cover in Graphs with Locally Few Colors
In [13], Erd˝os et al. defined the local chromatic number of a graph as the minimum number of colors that must appear within distance 1 of a vertex. For any ∆ ≥ 2, there are ...
Fabian Kuhn, Monaldo Mastrolilli
ASPDAC
2001
ACM
102views Hardware» more  ASPDAC 2001»
13 years 8 months ago
New graph bipartizations for double-exposure, bright field alternating phase-shift mask layout
Abstract-- We describe new graph bipartization algorithms for layout modification and phase assignment of bright-field alternating phaseshifting masks (AltPSM) [25]. The problem of...
Andrew B. Kahng, Shailesh Vaya, Alexander Zelikovs...