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» Improved Bounds and Algorithms for Hypergraph Two-Coloring
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CP
2005
Springer
13 years 10 months ago
AND/OR Branch-and-Bound for Solving Mixed Integer Linear Programming Problems
Abstract. AND/OR search spaces have recently been introduced as a unifying paradigm for advanced algorithmic schemes for graphical models. The main virtue of this representation is...
Radu Marinescu 0002, Rina Dechter
ESA
2009
Springer
107views Algorithms» more  ESA 2009»
13 years 11 months ago
Disproof of the Neighborhood Conjecture with Implications to SAT
We study a special class of binary trees. Our results have implications on Maker/Breaker games and SAT: We disprove a conjecture of Beck on positional games and construct an unsati...
Heidi Gebauer
IWOCA
2009
Springer
157views Algorithms» more  IWOCA 2009»
13 years 11 months ago
Forbidden Subgraph Colorings and the Oriented Chromatic Number
: We present an improved upper bound of O(d1+ 1 m−1 ) for the (2, F)-subgraph chromatic number χ2,F (G) of any graph G of maximum degree d. Here, m denotes the minimum number of...
N. R. Aravind, C. R. Subramanian
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
ESA
2003
Springer
189views Algorithms» more  ESA 2003»
13 years 10 months ago
On the Complexity of Approximating TSP with Neighborhoods and Related Problems
We prove that various geometric covering problems, related to the Travelling Salesman Problem cannot be efficiently approximated to within any constant factor unless P = NP. This ...
Shmuel Safra, Oded Schwartz