Decomposition of binary matroids

Abstract

We prove results relating to the decomposition of a binary matroid, including its uniqueness when the matroid is cosimple. We extend the idea of “freedom” of an element in a matroid to “freedom” of a set, and show that there is a unique maximal integer polymatroid inducing a given binary matroid.

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Dawson, J.E. Decomposition of binary matroids. Combinatorica 5, 1–9 (1985). https://doi.org/10.1007/BF02579437

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AMS subject classification (1980)

  • 05 B 35