Since every binary matroid may be represented over the field of integers modulo 2, it is reasonable to consider their symmetric difference,. C, i- Cz = (s: s ...

Binary matroids can be characterized in many different way. Quite a few of the characterizations are expressed in terms of properties of circuits. We first ...

Circuit-Difference Matroids ; Author. Drummond George · Fife Tara · Grace Kevin · Oxley James ; Publication venue: 'The Electronic Journal of Combinatorics'.

Oct 16, 2020 · Suppose we call matroids with this property special now if two matroids M1 and M2 are special and some circuit in M1 is not disjoint to some ...

Aug 2, 2021 · Given any matroid M with ground set E, we could define the circuit space of M in a completely analogous way, just using the word "circuit" ...

Every even circuit in a connected, non-affine, binary matroid is the symmetric difference of two odd circuits. In a connected matroid M with at least two ...

In mathematics, a basis of a matroid is a maximal independent set of the matroid—that is, an independent set that is not contained in any other independent ...

Rota about “dependency among dependencies.” A circuit basis for a matroid is a least set of circuits which will generate all the circuits of the matroid by ...

[7] for an overview of different techniques in parameterized algorithms for solving problems about cycles and paths in graphs. Matroids are combinatorial ...

A matroid is sparse-paving if the symmetric difference of every pair of circuits is greater than 2. OUTPUT: boolean. EXAMPLES: Sage. sage: M = matroids.