Title
The excluded minors for the class of matroids that are binary or ternary
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@?"2F"7, U"2","4@?"2F"7^*, and the unique matroids obtained by relaxing a circuit-hyperplane in either AG(3,2) or T"1"2. The proof makes essential use of results obtained by Truemper on the structure of almost-regular matroids.
Year
DOI
Venue
2011
10.1016/j.ejc.2011.01.017
Eur. J. Comb.
Keywords
Field
DocType
almost-regular matroids,essential use,unique matroids
Matroid,Discrete mathematics,Combinatorics,Ternary operation,Mathematics,Binary number
Journal
Volume
Issue
ISSN
32
6
0195-6698
Citations 
PageRank 
References 
2
0.42
17
Authors
4
Name
Order
Citations
PageRank
Dillon Mayhew110218.63
Bogdan Oporowski226623.24
James Oxley3204.05
Geoff Whittle447157.57