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» Labeled Traveling Salesman Problems: Complexity and approxim...
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STACS
2009
Springer
15 years 4 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
14 years 4 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»
15 years 3 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»
14 years 11 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»
14 years 8 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...