The asymptotic abundance conjecture for sparse paving matroid stack delta-matroids

A matroid stack delta-matroid is a delta-matroid whose proper set systems in its stack are matroids. It is sparse paving when every matroid in its stack is sparse paving, meaning that the matroid and its dual are paving. The asymptotic abundance conjecture for sparse paving matroid stack delta-matroids. Almost all matroid stack delta-matroids are sparse paving, asymptotically.

This is proposed as a conjectural analogue of the asymptotic abundance conjecture for sparse paving matroids. The source provides no resolution, so the conjecture remains open.

Sources & referencesView supporting material

Primary source

Joseph E Bonin, Carolyn Chun and Steven D Noble, “Delta-matroids as subsystems of sequences of Higgs lifts”, arXiv:1807.01375 (2019).

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