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» Approximate Graph Coloring by Semidefinite Programming
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STOC
2007
ACM
117views Algorithms» more  STOC 2007»
14 years 5 months ago
A combinatorial, primal-dual approach to semidefinite programs
Semidefinite programs (SDP) have been used in many recent approximation algorithms. We develop a general primal-dual approach to solve SDPs using a generalization of the well-know...
Sanjeev Arora, Satyen Kale
ICALP
2011
Springer
12 years 8 months ago
Clique Clustering Yields a PTAS for max-Coloring Interval Graphs
We are given an interval graph G = (V, E) where each interval I ∈ V has a weight wI ∈ R+. The goal is to color the intervals V with an arbitrary number of color classes C1, C2...
Tim Nonner
WAOA
2004
Springer
141views Algorithms» more  WAOA 2004»
13 years 10 months ago
Strong Colorings of Hypergraphs
Abstract. A strong vertex coloring of a hypergraph assigns distinct colors to vertices that are contained in a common hyperedge. This captures many previously studied graph colorin...
Geir Agnarsson, Magnús M. Halldórsso...
SODA
2010
ACM
216views Algorithms» more  SODA 2010»
14 years 2 months ago
On linear and semidefinite programming relaxations for hypergraph matching
The hypergraph matching problem is to find a largest collection of disjoint hyperedges in a hypergraph. This is a well-studied problem in combinatorial optimization and graph theo...
Yuk Hei Chan, Lap Chi Lau
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