CONVEX POLYTOPES AND LINEAR PROGRAMMING.

Abstract

The report contains a survey of past discoveries and current knowledge concerning the facial structure of convex polytopes, including some connections with linear programming. Details of proofs are considered unimportant; instead, reliance is placed on statements of definitions and theorems and on references to the literature, along with an account of unsolved problems and a few historical remarks. The section headings are as follows: 1. Four landmarks; 2. Polytopal d-tuples; 3. Poly topal graphs; 4. Paths in polytopes; 5. Additional results and problems. Bibliographic notes are included in each section. They refer to the list of more than a hundred publications which appears at the end of the paper.

Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1964
Accession Number
AD0607951

Entities

People

  • Victor Klee

Organizations

  • Boeing

Tags

DTIC Thesaurus Topics

  • Applied Mathematics
  • Computer Programming
  • Computing-Related Activities
  • Convex Programming
  • Humanities
  • Interdisciplinary Science
  • Linear Programming
  • Literature
  • Mathematical Programming
  • Mathematics

Readers

  • Graph Algorithms and Convex Optimization.
  • Library and Information Science
  • Systems Analysis and Design