This chapter discusses the properties of binary matroids. In particular, it proves numerous characterizations of such matroids. It looks at two vector spaces which are commonly associated with a binary matroid. It extends these ideas to a more general class of matroids and touches briefly on Tutte's theory of chain-groups. It shows how 3-sum for graphs can be extended to binary matroids. It concludes with a discussion of several other special properties of binary matroids.
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