The forbidden minors of binary clutters

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Abstract

A clutter (a collection of incomparable sets) is said to be binary if any minimal set which intersects each member of the clutter has intersection of odd cardinality with each member of the clutter. Several equivalent conditions are given, including a forbidden minor condition which is related to a theorem in matroid theory.

Original languageEnglish (US)
Pages (from-to)356-360
Number of pages5
JournalJournal of the London Mathematical Society
Volumes2-12
Issue number3
DOIs
StatePublished - Feb 1976
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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