A new infinite family of minimal non-orientable matroids of rank 3 with 3n elements

Hidefumi Hiraishi, Sonoko Moriyama

Research output: Contribution to journalArticlepeer-review

Abstract

We construct a new infinite family of minimal non-orientable matroids of rank 3 with 3. n elements starting from YM91. Two minimal non-orientable matroids of rank 3 with 9 elements, YM91 and YM92, were discovered in 2012. We then consider the representability of YM91 and YM92; in particular the new infinite family is not representable over fields with characteristic 2.

Original languageEnglish
Pages (from-to)275-280
Number of pages6
JournalElectronic Notes in Discrete Mathematics
Volume44
DOIs
Publication statusPublished - 2013 Nov 5

Keywords

  • Forbidden minor
  • Matroids
  • Orientability
  • Representabiltiy

ASJC Scopus subject areas

  • Discrete Mathematics and Combinatorics
  • Applied Mathematics

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