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SODA
2012
ACM
262views Algorithms» more  SODA 2012»
7 years 10 months ago
A polynomial-time approximation scheme for planar multiway cut
Given an undirected graph with edge lengths and a subset of nodes (called the terminals), the multiway cut (also called the multi-terminal cut) problem asks for a subset of edges,...
MohammadHossein Bateni, MohammadTaghi Hajiaghayi, ...
JAL
2007
95views more  JAL 2007»
9 years 8 months ago
Computing shortest paths with uncertainty
Abstract. We consider the problem of estimating the length of a shortest path in a DAG whose edge lengths are known only approximately but can be determined exactly at a cost. Init...
Tomás Feder, Rajeev Motwani, Liadan O'Calla...
FOCS
1991
IEEE
9 years 11 months ago
On the Exponent of the All Pairs Shortest Path Problem
The upper bound on the exponent, ω, of matrix multiplication over a ring that was three in 1968 has decreased several times and since 1986 it has been 2.376. On the other hand, t...
Noga Alon, Zvi Galil, Oded Margalit
COMPGEOM
1993
ACM
10 years 4 days ago
Worst-Case Bounds for Subadditive Geometric Graphs
We consider graphs such as the minimum spanning tree, minimum Steiner tree, minimum matching, and traveling salesman tour for n points in the d-dimensional unit cube. For each of ...
Marshall W. Bern, David Eppstein
ICPR
2002
IEEE
10 years 1 months ago
Uniformity Testing Using Minimal Spanning Tree
Testing for uniformity of multivariate data is the initial step in exploratory pattern analysis. We propose a new uniformity testing method, which first computes the maximum (sta...
Anil K. Jain, Xiaowei Xu, Tin Kam Ho, Fan Xiao
WADS
2007
Springer
121views Algorithms» more  WADS 2007»
10 years 2 months ago
Cauchy's Theorem and Edge Lengths of Convex Polyhedra
In this paper we explore, from an algorithmic point of view, the extent to which the facial angles and combinatorial structure of a convex polyhedron determine the polyhedron—in ...
Therese C. Biedl, Anna Lubiw, Michael J. Spriggs
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