Mcalmon–Oh–Xiang's CCW-arrow characterization of positroid quotients
Let and be positroids, and write for the quotient relation. A CCW-arrow is the interval associated with a positroid as in the preceding definition.
Mcalmon–Oh–Xiang's conjecture. if and only if every CCW-arrow of is the union of CCW-arrows of .
This characterizes the quotient relation for positroids in terms of their CCW-arrows, extending the corresponding interval description for lattice path matroids. The supplied material gives no evidence that the statement has been proved or disproved.
References
Primary source
Carolina Benedetti and Kolja Knauer, “Lattice path matroids and quotients”, arXiv:2202.11634 (2024).
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