Better differential approximation for symetric TSP

Bruno Escoffier (1) , Jérôme Monnot (1)

1 LAMSADE - Laboratoire d'analyse et modélisation de systèmes pour l'aide à la décision

In this paper, we study the approximability properties of symmetric TSP under an approximation measure called the differential ratio. More precisely, we improve up to 3/4 - $\epsilon$ (for any $\epsilon$ > 0) the best differential ratio of 2/3 known so far, given in Hassin and Khuller, “z-Approximations”, J. of Algorithms, 41(2), 429-442, 2001.

Mots clés: Approximation algorithm; Diferential ratio; Traveling salesman problem.

Mots clés: Traveling salesman problem

Domaines: Complexité [cs.CC]; Recherche opérationnelle [math.OC]

Bruno Escoffier, Jérôme Monnot. Better differential approximation for symetric TSP. 2007. ⟨hal-00178903⟩