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» The Complexity of Unions of Disjoint Sets
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CC
2006
Springer
123views System Software» more  CC 2006»
13 years 7 months ago
On the complexity of approximating k-set packing
Given a k-uniform hypergraph, the Maximum k-Set Packing problem is to find the maximum disjoint set of edges. We prove that this problem cannot be efficiently approximated to with...
Elad Hazan, Shmuel Safra, Oded Schwartz
DAM
2011
13 years 2 months ago
Optimization problems in multiple subtree graphs
We study various optimization problems in t-subtree graphs, the intersection graphs of tsubtrees, where a t-subtree is the union of t disjoint subtrees of some tree. This graph cl...
Danny Hermelin, Dror Rawitz
FC
2005
Springer
142views Cryptology» more  FC 2005»
14 years 1 months ago
Testing Disjointness of Private Datasets
Two parties, say Alice and Bob, possess two sets of elements that belong to a universe of possible values and wish to test whether these sets are disjoint or not. In this paper we ...
Aggelos Kiayias, Antonina Mitrofanova
FROCOS
2007
Springer
14 years 1 months ago
Combining Proof-Producing Decision Procedures
Constraint solvers are key modules in many systems with reasoning capabilities (e.g., automated theorem provers). To incorporate constraint solvers in such systems, the capability ...
Silvio Ranise, Christophe Ringeissen, Duc-Khanh Tr...
ML
2007
ACM
101views Machine Learning» more  ML 2007»
13 years 7 months ago
A persistent union-find data structure
The problem of disjoint sets, also known as union-find, consists in maintaining a partition of a finite set within a data structure. This structure provides two operations: a fu...
Sylvain Conchon, Jean-Christophe Filliâtre