Research Reports from the Department of Operations

Authors

Bradley Hull

Document Type

Report

Publication Date

8-1-1972

Abstract

Two algorithms for matroids are presented, and relations between matroids and blocking systems are explored. A method is presented for removing an element of one of the dual pairs of clutters which comprise a blocking system. The problem of how to "chop off" a vertex from a convex polyhedron without creating new vertices is dealt with. Bounds on the number of cutting planes are determined.

Keywords

Operations research, Matroids, Blocking sets, Convex sets, Algorithms, Mathematical optimization, Polyhedra--Models, Combinatorial optimization

Publication Title

Technical Memorandums from the Department of Operations, School of Management, Case Western Reserve University

Issue

Technical memorandum no. 267

Rights

This work is in the public domain and may be freely downloaded for personal or academic use

Share

COinS
 
 

To view the content in your browser, please download Adobe Reader or, alternately,
you may Download the file to your hard drive.

NOTE: The latest versions of Adobe Reader do not support viewing PDF files within Firefox on Mac OS and if you are using a modern (Intel) Mac, there is no official plugin for viewing PDF files within the browser window.