Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Circuit-Difference Matroids   One characterization of binary matroids is that the symmetric difference of
every pair of intersecting circuits is a disjoint union of circuits. This paper
considers circuit-difference matroids, that is, those matroids in which the
symmetric difference of every pair of intersecting circuits is a single
circuit. Our main result shows that a connected regular matroid is
circuit-difference if and only if it contains no pair of skew circuits. Using a
result of Pfeil, this enables us to explicitly determine all regular
circuit-difference matroids. The class of circuit-difference matroids is not
closed under minors, but it is closed under series minors. We characterize the
infinitely many excluded series minors for the class.

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The categories of this paper are: q-fin
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The categories of this paper are: chao-dyn
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The categories of this paper are: funct-an
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The categories of this paper are: astro-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: plasm-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: econ
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The categories of this paper are: alg-geom
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The categories of this paper are: quant-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: physics
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The categories of this paper are: adap-org
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The categories of this paper are: eess
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The categories of this paper are: comp-gas
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The categories of this paper are: math-ph