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APPROX
2010
Springer
193views Algorithms» more  APPROX 2010»
13 years 11 months ago
Approximation Algorithms for the Directed k-Tour and k-Stroll Problems
We consider two natural generalizations of the Asymmetric Traveling Salesman problem: the k-Stroll and the k-Tour problems. The input to the k-Stroll problem is a directed n-verte...
MohammadHossein Bateni, Julia Chuzhoy
CORR
2008
Springer
76views Education» more  CORR 2008»
13 years 10 months ago
Succinct Geometric Indexes Supporting Point Location Queries
We propose to design data structures called succinct geometric indexes of negligible space (more precisely, o(n) bits) that support geometric queries in optimal time, by taking adv...
Prosenjit Bose, Eric Y. Chen, Meng He, Anil Mahesh...
ECCC
2006
88views more  ECCC 2006»
13 years 10 months ago
Hardness of Directed Routing with Congestion
Given a graph G and a collection of source-sink pairs in G, what is the least integer c such that each source can be connected by a path to its sink, with at most c paths going th...
Julia Chuzhoy, Sanjeev Khanna
EJC
2007
13 years 10 months ago
Quickly deciding minor-closed parameters in general graphs
We construct algorithms for deciding essentially any minor-closed parameter, with explicit time bounds. This result strengthens previous results by Robertson and Seymour [1,2], Fr...
Erik D. Demaine, Mohammad Taghi Hajiaghayi
COMGEO
2004
ACM
13 years 10 months ago
A local search approximation algorithm for k-means clustering
In k-means clustering we are given a set of n data points in d-dimensional space d and an integer k, and the problem is to determine a set of k points in d , called centers, to mi...
Tapas Kanungo, David M. Mount, Nathan S. Netanyahu...