$\frac{13}{9}$ -Approximation for Graphic TSP
نویسندگان
چکیده
منابع مشابه
13/9-approximation for Graphic TSP
The Travelling Salesman Problem is one of the most fundamental and most studied problems in approximation algorithms. For more than 30 years, the best algorithm known for general metrics has been Christofides’s algorithm with approximation factor of 2 , even though the socalled Held-Karp LP relaxation of the problem is conjectured to have the integrality gap of only 4 3 . Very recently, signifi...
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The Travelling Salesman Problem is one the most fundamental and most studied problems in approximation algorithms. For more than 30 years, the best algorithm known for general metrics has been Christofides’s algorithm with approximation factor of 3 2 , even though the so-called HeldKarp LP relaxation of the problem is conjectured to have the integrality gap of only 4 3 . Very recently, signific...
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We prove explicit approximation hardness results for the Graphic TSP on cubic and subcubic graphs as well as the new inapproximability bounds for the corresponding instances of the (1,2)-TSP. The proof technique uses new modular constructions of simulating gadgets for the restricted cubic and subcubic instances. The modular constructions used in the paper could be also of independent interest.
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ژورنال
عنوان ژورنال: Theory of Computing Systems
سال: 2012
ISSN: 1432-4350,1433-0490
DOI: 10.1007/s00224-012-9439-7