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» Labeled Traveling Salesman Problems: Complexity and approxim...
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STACS
2009
Springer
14 years 2 months ago
On Approximating Multi-Criteria TSP
Abstract. We present approximation algorithms for almost all variants of the multicriteria traveling salesman problem (TSP), whose performances are independent of the number k of c...
Bodo Manthey
COMBINATORICA
2010
13 years 2 months ago
Approximation algorithms via contraction decomposition
We prove that the edges of every graph of bounded (Euler) genus can be partitioned into any prescribed number k of pieces such that contracting any piece results in a graph of bou...
Erik D. Demaine, MohammadTaghi Hajiaghayi, Bojan M...
WADS
2005
Springer
162views Algorithms» more  WADS 2005»
14 years 1 months ago
The Minimum-Area Spanning Tree Problem
Motivated by optimization problems in sensor coverage, we formulate and study the Minimum-Area Spanning Tree (mast) problem: Given a set P of n points in the plane, find a spannin...
Paz Carmi, Matthew J. Katz, Joseph S. B. Mitchell
SODA
2008
ACM
156views Algorithms» more  SODA 2008»
13 years 9 months ago
Approximating TSP on metrics with bounded global growth
The Traveling Salesman Problem (TSP) is a canonical NP-complete problem which is known to be MAXSNP hard even on Euclidean metrics (of high dimensions) [40]. In order to circumven...
T.-H. Hubert Chan, Anupam Gupta
JUCS
2010
117views more  JUCS 2010»
13 years 6 months ago
NP-completeness and FPT Results for Rectilinear Covering Problems
Abstract: This paper discusses three rectilinear (that is, axis-parallel) covering problems in d dimensions and their variants. The first problem is the Rectilinear Line Cover whe...
Vladimir Estivill-Castro, Apichat Heednacram, Fran...