• Media type: E-Article
  • Title: Integral Polyhedra in Three Space
  • Contributor: Scarf, Herbert E.
  • Published: Institute for Operations Research and the Management Sciences (INFORMS), 1985
  • Published in: Mathematics of Operations Research, 10 (1985) 3, Seite 403-438
  • Language: English
  • DOI: 10.1287/moor.10.3.403
  • ISSN: 0364-765X; 1526-5471
  • Keywords: Management Science and Operations Research ; Computer Science Applications ; General Mathematics
  • Origination:
  • Footnote:
  • Description: <jats:p> In a series of recent papers I have introduced a particular class of convex polyhedra in R<jats:sup>n</jats:sup>, arising in the study of integer programming problems with n variables. In the present paper a detailed analysis of these polyhedra will be given for the case in which n = 3; the analysis is based on an unpublished theorem demonstrated several years ago by Roger Howe, which seems to have no immediate generalization to higher values of n. </jats:p>