Donggyu Kim (김동규), 𝝘-graphic delta-matroids and their applications

Room B232 IBS (기초과학연구원)

Bouchet (1987) defined delta-matroids by relaxing the base exchange axiom of matroids. Oum (2009) introduced a graphic delta-matroid from a pair of a graph and its vertex subset. We define a Γ-graphic delta-matroid for an abelian group Γ, which generalizes a graphic delta-matroid. For an abelian group Γ, a Γ-labelled graph is a graph whose

Donggyu Kim (김동규), Orthogonal matroids over tracts

Room B332 IBS (기초과학연구원)

Even delta-matroids generalize matroids, as they are defined by a certain basis exchange axiom weaker than that of matroids. One natural example of even delta-matroids comes from a skew-symmetric matrix over a given field K, and we say such an even delta-matroid is representable over the field K. Interestingly, a matroid is representable over K

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