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math.CO2022
Bubble Lattices II: Combinatorics
Thomas McConville, Henri Mühle
We introduce two simplicial complexes, the noncrossing matching complex and the noncrossing bipartite complex. Both complexes are intimately related to the bubble lattice introduce…
math.CO2022
Bubble Lattices I: Structure
Thomas McConville, Henri Mühle
C. Greene introduced the shuffle lattice as an idealized model for DNA mutation and discovered remarkable combinatorial and enumerative properties of this structure. We attempt an…