Title of article
The excluded minors for the class of matroids that are binary or ternary
Author/Authors
Mayhew، نويسنده , , Dillon and Oporowski، نويسنده , , Bogdan and Oxley، نويسنده , , James and Whittle، نويسنده , , Geoff، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2011
Pages
40
From page
891
To page
930
Abstract
We show that the excluded minors for the class of matroids that are binary or ternary are U 2 , 5 , U 3 , 5 , U 2 , 4 ⊕ F 7 , U 2 , 4 ⊕ F 7 ∗ , U 2 , 4 ⊕ 2 F 7 , U 2 , 4 ⊕ 2 F 7 ∗ , and the unique matroids obtained by relaxing a circuit-hyperplane in either AG ( 3 , 2 ) or T 12 . The proof makes essential use of results obtained by Truemper on the structure of almost-regular matroids.
Journal title
European Journal of Combinatorics
Serial Year
2011
Journal title
European Journal of Combinatorics
Record number
1549729
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