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» Applications of integer relation algorithms
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SODA
2010
ACM
202views Algorithms» more  SODA 2010»
14 years 8 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
ICDM
2010
IEEE
217views Data Mining» more  ICDM 2010»
13 years 9 months ago
Discovering Temporal Features and Relations of Activity Patterns
An important problem that arises during the data mining process in many new emerging application domains is mining data with temporal dependencies. One such application domain is a...
Ehsan Nazerfard, Parisa Rashidi, Diane J. Cook
TACAS
2009
Springer
115views Algorithms» more  TACAS 2009»
14 years 5 months ago
Iterating Octagons
Abstract. In this paper we prove that the transitive closure of a nondeterministic octagonal relation using integer counters can be expressed in Presburger arithmetic. The direct c...
Marius Bozga, Codruta Gîrlea, Radu Iosif
ALGORITHMICA
2011
13 years 6 months ago
All-Pairs Bottleneck Paths in Vertex Weighted Graphs
Let G = (V, E, w) be a directed graph, where w : V → R is an arbitrary weight function defined on its vertices. The bottleneck weight, or the capacity, of a path is the smalles...
Asaf Shapira, Raphael Yuster, Uri Zwick
CASC
2007
Springer
133views Mathematics» more  CASC 2007»
14 years 5 months ago
Algebraic Visualization of Relations Using RelView
For graphs there exist highly elaborated drawing algorithms. We concentrate here in an analogous way on visualizing relations represented as Boolean matrices as, e.g., in RelView. ...
Rudolf Berghammer, Gunther Schmidt