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97
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CORR
2011
Springer
174views Education» more  CORR 2011»
14 years 3 months ago
Lift-and-Project Integrality Gaps for the Traveling Salesperson Problem
We study the lift-and-project procedures of Lov´asz-Schrijver and Sherali-Adams applied to the standard linear programming relaxation of the traveling salesperson problem with tr...
Thomas Watson
64
Voted
MOR
2008
90views more  MOR 2008»
14 years 11 months ago
Finding the Exact Integrality Gap for Small Traveling Salesman Problems
Geneviève Benoit, Sylvia Boyd
108
Voted
SODA
2010
ACM
231views Algorithms» more  SODA 2010»
15 years 9 months ago
Asymmetric Traveling Salesman Path and Directed Latency Problems
We study integrality gaps and approximability of two closely related problems on directed graphs. Given a set V of n nodes in an underlying asymmetric metric and two specified nod...
Zachary Friggstad, Mohammad R. Salavatipour, Zoya ...
79
Voted
APPROX
2008
Springer
100views Algorithms» more  APPROX 2008»
15 years 1 months ago
A Simple LP Relaxation for the Asymmetric Traveling Salesman Problem
A long-standing conjecture in Combinatorial Optimization is that the integrality gap of the Held-Karp LP relaxation for the Asymmetric Traveling Salesman Problem (ATSP) is a consta...
Thành Nguyen
89
Voted
CORR
2007
Springer
88views Education» more  CORR 2007»
14 years 11 months ago
Target assignment for robotic networks: asymptotic performance under limited communication
— We are given an equal number of mobile robotic agents, and distinct target locations. Each agent has simple integrator dynamics, a limited communication range, and knowledge of...
Stephen L. Smith, Francesco Bullo