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Characterizing matroids whose bases form graphic delta-matroids

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 نشر من قبل Sang-Il Oum
 تاريخ النشر 2020
  مجال البحث
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We introduce delta-graphic matroids, which are matroids whose bases form graphic delta-matroids. The class of delta-graphic matroids contains graphic matroids as well as cographic matroids and is a proper subclass of the class of regular matroids. We give a structural characterization of the class of delta-graphic matroids. We also show that every forbidden minor for the class of delta-graphic matroids has at most $48$ elements.

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