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π
The Cartographer
A historical note on the 3/2-approximation algorithm for the metric traveling salesman problem
April 06, 2020 Β· Declared Dead Β· π Historia Mathematica
"No code URL or promise found in abstract"
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Authors
RenΓ© van Bevern, Viktoriia A. Slugina
arXiv ID
2004.02437
Category
cs.DS: Data Structures & Algorithms
Cross-listed
cs.DM,
math.HO,
math.OC
Citations
41
Venue
Historia Mathematica
Last Checked
3 months ago
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.
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