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Enumerating the Saneblidze-Umble diagonal in Haskell
Friedrich Schiller University Jena .ORCID iD: 0000-0001-6322-7542
2008 (English)In: ACM Communications in Computer Algebra, ISSN 1932-2240, Vol. 42, no 1-2, 20-20 p.Article in journal (Refereed) Published
Abstract [en]

In 2004, Saneblidze and Umble gave a construction of a diagonal on the permutahedron, thus providing important tools to several disciplines using the permutahedra and associated combinatorial polyhedra. There has since been a few, mostly unpublished, attempts at writing computer programs to perform the highly combinatorial construction. The author presents an implementation of the construction in the programming language Haskell: a language which allows one to write computer code that stays very close to the mathematical expression of the construction itself. The author wishes to emphasize the perceived naturality of translating mathematics into Haskell code by giving examples from this program.

Place, publisher, year, edition, pages
2008. Vol. 42, no 1-2, 20-20 p.
National Category
Computational Mathematics
URN: urn:nbn:se:kth:diva-150359DOI: 10.1145/1394042.1394056OAI: diva2:742597

QC 20150211

Available from: 2014-09-02 Created: 2014-09-02 Last updated: 2015-02-11Bibliographically approved

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Vejdemo-Johansson, Mikael
Computational Mathematics

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