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FOCS
2008
IEEE
16 years 19 days ago
Hardness of Minimizing and Learning DNF Expressions
We study the problem of finding the minimum size DNF formula for a function f : {0, 1}d → {0, 1} given its truth table. We show that unless NP ⊆ DTIME(npoly(log n) ), there i...
Subhash Khot, Rishi Saket
JMLR
2012
13 years 8 months ago
Globally Optimizing Graph Partitioning Problems Using Message Passing
Graph partitioning algorithms play a central role in data analysis and machine learning. Most useful graph partitioning criteria correspond to optimizing a ratio between the cut a...
Elad Mezuman, Yair Weiss
DISOPT
2010
129views more  DISOPT 2010»
15 years 6 months ago
Labeled Traveling Salesman Problems: Complexity and approximation
We consider labeled Traveling Salesman Problems, defined upon a complete graph of n vertices with colored edges. The objective is to find a tour of maximum or minimum number of co...
Basile Couëtoux, Laurent Gourvès, J&ea...
IPL
2008
135views more  IPL 2008»
15 years 6 months ago
On the Positive-Negative Partial Set Cover problem
The Positive-Negative Partial Set Cover problem is introduced and its complexity, especially the hardness-of-approximation, is studied. The problem generalizes the Set Cover probl...
Pauli Miettinen
ECCC
2006
88views more  ECCC 2006»
15 years 6 months ago
Hardness of Directed Routing with Congestion
Given a graph G and a collection of source-sink pairs in G, what is the least integer c such that each source can be connected by a path to its sink, with at most c paths going th...
Julia Chuzhoy, Sanjeev Khanna