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A polynomial algorithm for minimal interval representation

Itzhak Gilboa 1 Anat Fischer Moshe Shpitalni
1 Northwestern University [Evanston]
Abstract : The following problem arises in the context of object representation: given two endpoints of an interval in a Gray code table, find a Boolean function in DNF that represents this interval, with as few prime implicants as possible. This paper shows that there is a unique minimal representation and presents a polynomial algorithm that finds it.
Keywords : Gray code Switching function Algorithm analysis Polynomial time Three dimensional representation Geometrical model Solid geometry Computer system
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https://hal-hec.archives-ouvertes.fr/hal-00481389
Contributor : Antoine Haldemann <>
Submitted on : Thursday, May 6, 2010 - 3:23:35 PM
Last modification on : Sunday, November 18, 2012 - 6:37:45 PM

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Itzhak Gilboa, Anat Fischer, Moshe Shpitalni. A polynomial algorithm for minimal interval representation. Journal of Algorithms in Cognition, Informatics and Logic, Elsevier, 1992, Vol.13, n°4, pp. 546-563. ⟨10.1016/0196-6774(92)90055-H⟩. ⟨hal-00481389⟩

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