On the history of the Euclidean Steiner tree problem

M. Brazil, R.L Graham, D. A. Thomas, Martin Zachariasen

Research output: Journal Article or Conference Article in JournalJournal articleResearchpeer-review


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.
Original languageEnglish
JournalArchive for History of Exact Sciences
Issue number3
Pages (from-to)327-354
Publication statusPublished - 2014
Externally publishedYes

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