2025/01/29 by Grace, Kevin
#05B35 #Combinatorics (math.CO) #FOS: Mathematics
paper · doi:10.48550/arxiv.2501.17742
If M is a matroid, then a simple matroid M' with the same rank as M is an adjoint of M if there is an inclusion-reversing embedding ϕ of the lattice of flats of M into the lattice of flats of M' such that ϕ maps the hyperplanes of M bijectively onto the points of M'. In this note, we provide a proof that the class of matroids with an adjoint is minor-closed.