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» The Complexity of Unions of Disjoint Sets
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FOSSACS
2007
Springer
14 years 1 months ago
Polynomial Constraints for Sets with Cardinality Bounds
Abstract. Logics that can reason about sets and their cardinality bounds are useful in program analysis, program verification, databases, and knowledge bases. This paper presents ...
Bruno Marnette, Viktor Kuncak, Martin C. Rinard
PODS
2005
ACM
118views Database» more  PODS 2005»
14 years 7 months ago
On the complexity of division and set joins in the relational algebra
We show that any expression of the relational division operator in the relational algebra with union, difference, projection, selection, constant-tagging, and joins, must produce ...
Dirk Leinders, Jan Van den Bussche
COMPGEOM
2010
ACM
14 years 23 days ago
On the complexity of sets of free lines and line segments among balls in three dimensions
We present two new fundamental lower bounds on the worst-case combinatorial complexity of sets of free lines and sets of maximal free line segments in the presence of balls in thr...
Marc Glisse, Sylvain Lazard
COMGEO
1998
ACM
13 years 7 months ago
The union of moving polygonal pseudodiscs - Combinatorial bounds and applications
Let P be a set of polygonal pseudodiscs in the plane with n edges in total translating with xed velocities in xed directions. We prove that the maximumnumber of combinatorial chan...
Mark de Berg, Hazel Everett, Leonidas J. Guibas
DAM
2008
123views more  DAM 2008»
13 years 7 months ago
Polar cographs
Polar graphs are a natural extension of some classes of graphs like bipartite graphs, split graphs and complements of bipartite graphs. A graph is (s, k)-polar if there exists a pa...
Tinaz Ekim, Nadimpalli V. R. Mahadev, Dominique de...