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» Tight Results on Minimum Entropy Set Cover
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ICALP
2011
Springer
13 years 2 days 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
APPROX
2007
Springer
99views Algorithms» more  APPROX 2007»
14 years 2 months ago
Small Approximate Pareto Sets for Bi-objective Shortest Paths and Other Problems
We investigate the problem of computing a minimum set of solutions that approximates within a specified accuracy the Pareto curve of a multiobjective optimization problem. We show...
Ilias Diakonikolas, Mihalis Yannakakis
IPPS
2005
IEEE
14 years 2 months ago
Tight Bounds for Wavelength Assignment on Trees of Rings
: A fundamental problem in communication networks is wavelength assignment (WA): given a set of routing paths on a network, assign a wavelength to each path such that the paths wit...
Zhengbing Bian, Qian-Ping Gu, Xiao Zhou
CORR
2011
Springer
188views Education» more  CORR 2011»
13 years 3 months ago
Planar Cycle Covering Graphs
We describe a new variational lower-bound on the minimum energy configuration of a planar binary Markov Random Field (MRF). Our method is based on adding auxiliary nodes to every...
Julian Yarkony, Alexander T. Ihler, Charless C. Fo...
DM
2002
134views more  DM 2002»
13 years 8 months ago
Covering a hypergraph of subgraphs
Let G be a tree and let H be a collection of subgraphs of G, each having at most d connected components. Let (H) denote the maximum number of members of H no two of which share a ...
Noga Alon