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» A Combinatorial Theorem for Trees
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FOCS
1998
IEEE
15 years 4 months ago
Parametric and Kinetic Minimum Spanning Trees
We consider the parametric minimum spanning tree problem, in which we are given a graph with edge weights that are linear functions of a parameter and wish to compute the sequenc...
Pankaj K. Agarwal, David Eppstein, Leonidas J. Gui...
STOC
2010
ACM
261views Algorithms» more  STOC 2010»
15 years 4 months ago
An Improved LP-based Approximation for Steiner Tree
The Steiner tree problem is one of the most fundamental ÆÈ-hard problems: given a weighted undirected graph and a subset of terminal nodes, find a minimum weight tree spanning ...
Jaroslaw Byrka, Fabrizio Grandoni, Thomas Rothvoss...
DM
2008
100views more  DM 2008»
14 years 12 months ago
Staircase tilings and k-Catalan structures
Many interesting combinatorial objects are enumerated by the k-Catalan numbers, one possible generalization of the Catalan numbers. We will present a new combinatorial object that...
Silvia Heubach, Nelson Y. Li, Toufik Mansour
ESA
2003
Springer
93views Algorithms» more  ESA 2003»
15 years 5 months ago
Improved Bounds for Finger Search on a RAM
We present a new finger search tree with O(1) worst-case update time and O(log log d) expected search time with high probability in the Random Access Machine (RAM) model of comput...
Alexis C. Kaporis, Christos Makris, Spyros Sioutas...
COR
2006
98views more  COR 2006»
14 years 12 months ago
Exploiting semidefinite relaxations in constraint programming
Constraint programming uses enumeration and search tree pruning to solve combinatorial optimization problems. In order to speed up this solution process, we investigate the use of...
Willem Jan van Hoeve