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» The Complexity of Unions of Disjoint Sets
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STACS
2007
Springer
14 years 5 months ago
The Complexity of Unions of Disjoint Sets
This paper is motivated by the open question whether the union of two disjoint NPcomplete sets always is NP-complete. We discover that such unions retain much of the complexity of...
Christian Glaßer, Alan L. Selman, Stephen D....
WEA
2010
Springer
545views Algorithms» more  WEA 2010»
14 years 5 months ago
Experiments on Union-Find Algorithms for the Disjoint-Set Data Structure
Abstract. The disjoint-set data structure is used to maintain a collection of non-overlapping sets of elements from a finite universe. Algorithms that operate on this data structu...
Md. Mostofa Ali Patwary, Jean R. S. Blair, Fredrik...
COCOON
2007
Springer
14 years 5 months ago
The Informational Content of Canonical Disjoint NP-Pairs
We investigate the connection between propositional proof systems and their canonical pairs. It is known that simulations between proof systems translate to reductions between the...
Christian Glaßer, Alan L. Selman, Liyu Zhang
SWAT
2004
Springer
103views Algorithms» more  SWAT 2004»
14 years 4 months ago
Maximizing the Area of Overlap of Two Unions of Disks Under Rigid Motion
Let A and B be two sets of n resp. m disjoint unit disks in the plane, with m ≥ n. We consider the problem of finding a translation or rigid motion of A that maximizes the tota...
Mark de Berg, Sergio Cabello, Panos Giannopoulos, ...
CCCG
2007
14 years 10 days ago
A Lower Bound on the Area of a 3-Coloured Disc Packing
Given a set of unit-discs in the plane with union area A, what fraction of A can be covered by selecting a pairwise disjoint subset of the discs? Rado conjectured
Peter Brass, Ferran Hurtado, Benjamin J. Lafrenier...