The Binary Matroids with No 4-wheel Minor
نویسندگان
چکیده
The cycle matroids of wheels are the fundamental building blocks for the class of binary matroids. Brylawski has shown that a binary matroid has no minor isomorphic to the rank-3 wheel M(1f3) if and only if it is a series-parallel network. In this paper we characterize the binary matroids with no minor isomorphic to M (if;.). This characterization is used to solve the critical problem for this class of matroids and to extend results of Kung and Walton and Welsh for related classes of binary matroids.
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