35/44-approximation for Asymmetric Maximum TSP with Triangle Inequality

We describe a new approximation algorithm for the asymmetric maximum traveling salesman problem (ATSP) with triangle inequality. Our algorithm achieves approximation factor 35/44 which improves on the previous 31/40 factor of Bläser, Ram and Sviridenko (Lecture Notes in Computer Science, vol. 3122, pp. 350–359, 2005).