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» Total interval numbers of complete r-partite graphs
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JGAA
2000
179views more  JGAA 2000»
14 years 11 months ago
Approximation Algorithms for Some Graph Partitioning Problems
This paper considers problems of the following type: given an edgeweighted k-colored input graph with maximum color class size c, find a minimum or maximum c-way cut such that eac...
George He, Jiping Liu, Cheng Zhao
ICALP
2011
Springer
14 years 3 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
JGAA
2007
104views more  JGAA 2007»
14 years 11 months ago
Bar k-Visibility Graphs
Let S be a set of horizontal line segments, or bars, in the plane. We say that G is a bar visibility graph, and S its bar visibility representation, if there exists a one-to-one c...
Alice M. Dean, William Evans, Ellen Gethner, Joshu...
SIAMJO
2008
175views more  SIAMJO 2008»
14 years 11 months ago
On Bin Packing with Conflicts
Abstract. We consider the offline and online versions of a bin packing problem called bin packing with conflicts. Given a set of items V = {1, 2, . . . , n} with sizes s1, s2 . . ....
Leah Epstein, Asaf Levin
SIAMDM
2010
133views more  SIAMDM 2010»
14 years 10 months ago
Drop Cost and Wavelength Optimal Two-Period Grooming with Ratio 4
We study grooming for two-period optical networks, a variation of the traffic grooming problem for WDM ring networks introduced by Colbourn, Quattrocchi, and Syrotiuk. In the two-...
Jean-Claude Bermond, Charles J. Colbourn, Lucia Gi...