paper

A historical note on the 3/2-approximation algorithm for the metric traveling salesman problem

arXiv:2004.02437 · doi:10.1016/j.hm.2020.04.003

Abstract

One of the most fundamental results in combinatorial optimization is the polynomial-time 3/2-approximation algorithm for the metric traveling salesman problem. It was presented by Christofides in 1976 and is well known as "the Christofides algorithm". Recently, some authors started calling it "Christofides-Serdyukov algorithm", pointing out that it was published independently in the USSR in 1978. We provide some historic background on Serdyukov's findings and a translation of his article from Russian into English.

Version accepted to Historia Mathematica