Binary matroids and local complementation
classification
🧮 math.CO
keywords
associatedbinarylocalclassifiescomplementationdelta-matroiddeterminesequivalence
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We introduce a binary matroid M(IAS(G)) associated with a looped simple graph G. M(IAS(G)) classifies G up to local equivalence, and determines the delta-matroid and isotropic system associated with G. Moreover, a parametrized form of its Tutte polynomial yields the interlace polynomials of G.
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