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» On the relative complexity of approximate counting problems
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APPROX
2000
Springer
84views Algorithms» more  APPROX 2000»
13 years 9 months ago
On the relative complexity of approximate counting problems
Martin E. Dyer, Leslie Ann Goldberg, Catherine S. ...
ALGOSENSORS
2008
Springer
13 years 7 months ago
Target Counting under Minimal Sensing: Complexity and Approximations
We consider the problem of counting a set of discrete point targets using a network of sensors under a minimalistic model. Each sensor outputs a single integer, the number of disti...
Sorabh Gandhi, Rajesh Kumar 0003, Subhash Suri
STACS
2010
Springer
14 years 8 days ago
The Complexity of Approximating Bounded-Degree Boolean #CSP
The degree of a CSP instance is the maximum number of times that a variable may appear in the scope of constraints. We consider the approximate counting problem for Boolean CSPs wi...
Martin E. Dyer, Leslie Ann Goldberg, Markus Jalsen...
SODA
2010
ACM
202views Algorithms» more  SODA 2010»
14 years 2 months ago
Counting Inversions, Offline Orthogonal Range Counting, and Related Problems
We give an O(n lg n)-time algorithm for counting the number of inversions in a permutation on n elements. This improves a long-standing previous bound of O(n lg n/ lg lg n) that ...
Timothy M. Chan, Mihai Patrascu
COMPGEOM
2007
ACM
13 years 9 months ago
On approximate halfspace range counting and relative epsilon-approximations
The paper consists of two major parts. In the first part, we re-examine relative -approximations, previously studied in [12, 13, 18, 25], and their relation to certain geometric p...
Boris Aronov, Sariel Har-Peled, Micha Sharir