Title of article
A new infinite family of minimal non-orientable matroids of rank 3 with 3n elements
Author/Authors
Hiraishi، نويسنده , , Hidefumi and Moriyama، نويسنده , , Sonoko، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2013
Pages
6
From page
275
To page
280
Abstract
We construct a new infinite family of minimal non-orientable matroids of rank 3 with 3n elements starting from Y M 9 1 . Two minimal non-orientable matroids of rank 3 with 9 elements, Y M 9 1 and Y M 9 2 , were discovered in 2012. We then consider the representability of Y M 9 1 and Y M 9 2 ; in particular the new infinite family is not representable over fields with characteristic 2.
Keywords
matroids , orientability , forbidden minor , representabiltiy
Journal title
Electronic Notes in Discrete Mathematics
Serial Year
2013
Journal title
Electronic Notes in Discrete Mathematics
Record number
1456464
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