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Zapiski Nauchnykh Seminarov POMI, 2000, Volume 266, Pages 188–217 (Mi znsl1252)  
This article is cited in 13 scientific papers (total in 13 papers)

Convex hulls of integral points

J.-O. Moussafir

Centre de Recherche en Mathématiques de la Décision, Université Paris-Dauphine
Full-text PDF (287 kB) Citations (13)
Abstract: The convex hull of all integral points contained in a compact polyhedron $C$ is obviously a compact polyhedron. When $C$ is not compact, the convex hull $K$ of its integral points need not be a closed set. However under some natural assumptions, $K$ is a closed set and a generalized polyhedron.
Received: 10.10.1999
English version:
Journal of Mathematical Sciences (New York), 2003, Volume 113, Issue 5, Pages 647–665
DOI: https://doi.org/10.1023/A:1021106512173
Bibliographic databases:
UDC: 514.17
Language: English
Citation: J.-O. Moussafir, “Convex hulls of integral points”, Representation theory, dynamical systems, combinatorial and algoritmic methods. Part V, Zap. Nauchn. Sem. POMI, 266, POMI, St. Petersburg, 2000, 188–217; J. Math. Sci. (N. Y.), 113:5 (2003), 647–665
Citation in format AMSBIB
\Bibitem{Mou00}
\by J.-O.~Moussafir
\paper Convex hulls of integral points
\inbook Representation theory, dynamical systems, combinatorial and algoritmic methods. Part~V
\serial Zap. Nauchn. Sem. POMI
\yr 2000
\vol 266
\pages 188--217
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl1252}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1774654}
\zmath{https://zbmath.org/?q=an:1053.52020|1025.52006}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2003
\vol 113
\issue 5
\pages 647--665
\crossref{https://doi.org/10.1023/A:1021106512173}
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    • This publication is cited in the following 13 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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