Unimodular and Totally Unimodular Matrices.

Abstract

The constraint set (x which satisfies the condition Ax = b, x > or = 0) has all integer extreme points for any integral b if and only if every basis of A is unimodular. This condition is of obvious importance for integer linear programs, but it is not easily determined. A useful means of testing for unimodularity of basis is implicit in the sample result presented here.

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Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1976
Accession Number
ADA031050

Entities

People

  • H. Donald Ratliff
  • John J. Bartholdi Iii

Organizations

  • University of Florida

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  • Abstracts
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Fields of Study

  • Mathematics

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  • Linear Algebra
  • Operations Research