Non-interval greedoids and the transposition property

Bernhard Korte, László Lovász

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

In previous papers we have mainly studied greedoids with the interval property. This paper exhibits 11 classes of greedoids whose members do not necessarily have the interval property. These non-interval greedoids are related to some fundamental algorithms and procedural principles like Gaussian elimination, blossom trees, series-parallel decomposition, ear decomposition, retracting and dismantling. We introduce some weaker exchange properties. One of them can be shown to be equivalent to the greedoid exchange property. Another one leads to the definition of transposition greedoids. Besides all interval greedoids, some non-interval greedoids share the transposition property.

Original languageEnglish
Pages (from-to)297-314
Number of pages18
JournalDiscrete Mathematics
Volume59
Issue number3
DOIs
Publication statusPublished - May 1986

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Discrete Mathematics and Combinatorics

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