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SODA
2000
ACM
114views Algorithms» more  SODA 2000»
13 years 8 months ago
The rectilinear Steiner arborescence problem is NP-complete
Given a set P of points in the first quadrant, a Rectilinear Steiner Arborescence (RSA) is a directed tree rooted at the origin, containing all points in P, and composed solely of...
Weiping Shi, Chen Su
SODA
2000
ACM
102views Algorithms» more  SODA 2000»
13 years 8 months ago
Escaping a grid by edge-disjoint paths
We study the edge-disjoint escape problem in grids. Given a set of n sources in a two-dimensional grid, the problem is to connect all sources to the grid boundary using a set of n...
Wun-Tat Chan, Francis Y. L. Chin, Hing-Fung Ting
SODA
2004
ACM
160views Algorithms» more  SODA 2004»
13 years 8 months ago
On colorings of squares of outerplanar graphs
We study vertex colorings of the square G2 of an outerplanar graph G. We find the optimal bound of the inductiveness, chromatic number and the clique number of G2 as a function of...
Geir Agnarsson, Magnús M. Halldórsso...
SODA
2000
ACM
127views Algorithms» more  SODA 2000»
13 years 8 months ago
Dimensionality reduction techniques for proximity problems
In this paper we give approximation algorithms for several proximity problems in high dimensional spaces. In particular, we give the rst Las Vegas data structure for (1 + )-neares...
Piotr Indyk
SODA
2000
ACM
114views Algorithms» more  SODA 2000»
13 years 8 months ago
Typical random 3-SAT formulae and the satisfiability threshold
: k-SAT is one of the best known among a wide class of random constraint satisfaction problems believed to exhibit a threshold phenomenon where the control parameter is the ratio, ...
Olivier Dubois, Yacine Boufkhad, Jacques Mandler