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» Optimal query complexity bounds for finding graphs
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CIAC
2006
Springer
278views Algorithms» more  CIAC 2006»
13 years 11 months ago
Covering a Set of Points with a Minimum Number of Lines
We consider the minimum line covering problem: given a set S of n points in the plane, we want to find the smallest number l of straight lines needed to cover all n points in S. W...
Magdalene Grantson, Christos Levcopoulos
SODA
2010
ACM
202views Algorithms» more  SODA 2010»
14 years 5 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
TCS
2008
13 years 7 months ago
Competitive graph searches
We exemplify an optimization criterion for divide-and-conquer algorithms with a technique called generic competitive graph search. The technique is then applied to solve two probl...
Binh-Minh Bui-Xuan, Michel Habib, Christophe Paul
ESA
2006
Springer
137views Algorithms» more  ESA 2006»
13 years 11 months ago
Deciding Relaxed Two-Colorability - A Hardness Jump
A coloring is proper if each color class induces connected components of order one (where the order of a graph is its number of vertices). Here we study relaxations of proper two-c...
Robert Berke, Tibor Szabó
CP
2006
Springer
13 years 11 months ago
Compiling Constraint Networks into AND/OR Multi-valued Decision Diagrams (AOMDDs)
Abstract. Inspired by AND/OR search spaces for graphical models recently introduced, we propose to augment Ordered Decision Diagrams with AND nodes, in order to capture function de...
Robert Mateescu, Rina Dechter