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» The Complexity of Unions of Disjoint Sets
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DIALM
2008
ACM
135views Algorithms» more  DIALM 2008»
13 years 9 months ago
Symmetric range assignment with disjoint MST constraints
If V is a set of n points in the unit square [0, 1]2 , and if R : V + is an assignment of positive real numbers (radii) to to those points, define a graph G(R) as follows: {v, w}...
Eric Schmutz
CORR
2010
Springer
158views Education» more  CORR 2010»
13 years 7 months ago
Unifying the Landscape of Cell-Probe Lower Bounds
We show that a large fraction of the data-structure lower bounds known today in fact follow by reduction from the communication complexity of lopsided (asymmetric) set disjointness...
Mihai Patrascu
ICALP
2010
Springer
13 years 9 months ago
Covering and Packing in Linear Space
Abstract. Given a family of subsets of an n-element universe, the kcover problem asks whether there are k sets in the family whose union contains the universe; in the k-packing pro...
Andreas Björklund, Thore Husfeldt, Petteri Ka...
FOCM
2010
161views more  FOCM 2010»
13 years 6 months ago
The Asymptotics of Wilkinson's Shift: Loss of Cubic Convergence
One of the most widely used methods for eigenvalue computation is the QR iteration with Wilkinson’s shift: here the shift s is the eigenvalue of the bottom 2 × 2 principal mino...
Ricardo S. Leite, Nicolau C. Saldanha, Carlos Tome...
JACM
1998
88views more  JACM 1998»
13 years 7 months ago
A Threshold of ln n for Approximating Set Cover
Given a collection Ᏺ of subsets of S ϭ {1, . . . , n}, set cover is the problem of selecting as few as possible subsets from Ᏺ such that their union covers S, and max k-cover ...
Uriel Feige