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» Total interval numbers of complete r-partite graphs
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JGAA
2000
179views more  JGAA 2000»
13 years 7 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
12 years 11 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»
13 years 7 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»
13 years 7 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»
13 years 5 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...