The excluded minors for the class of matroids that are binary or ternary

Dillon Mayhew,Bogdan Oporowski,James Oxley,Geoff Whittle

European Journal of Combinatorics（2011）

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摘要

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.

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关键词

almost-regular matroids,essential use,unique matroids

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