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Article ID: CBB001214201

On the History of the Euclidean Steiner Tree Problem (2014)

Brazil, Marcus (Author)
Graham, Ronald L. (Author)
Thomas, Doreen A. (Author)
Zachariasen, Martin (Author)

Archive for History of Exact Sciences
Volume: 68, no. 3
Issue: 3
Pages: 327-354

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Problematology Mathematicians Geometry Mathematics 19th century Steiner, Jakob

The history of the Euclidean Steiner tree problem, which is the problem of constructing a shortest possible network interconnecting a set of given points in the Euclidean plane, goes back to Gergonne in the early nineteenth century. We present a detailed account of the mathematical contributions of some of the earliest papers on the Euclidean Steiner tree problem. Furthermore, we link these initial contributions with results from the recent literature on the problem.

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