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CORR
2011
Springer
174views Education» more  CORR 2011»
12 years 8 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
SODA
2010
ACM
231views Algorithms» more  SODA 2010»
14 years 2 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 ...
APPROX
2008
Springer
100views Algorithms» more  APPROX 2008»
13 years 7 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
CORR
2007
Springer
88views Education» more  CORR 2007»
13 years 4 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