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
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
Journal title :
Electronic Notes in Discrete Mathematics
