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math.CO2026
Maximum number of one-element commutation classes of a permutation
Ricardo Mamede, José Luis Santos, Diogo Soares
In this paper, we provide an upper bound for the number of one-element commutation classes of a permutation, that is, the number of reduced words in which no commutation can be app…
math.CO2024
Hamilton cycles for involutions of classical types
Gonçalo Gutierres, Ricardo Mamede, José Luis Santos
Let denote any of the three families of classical Weyl groups: the symmetric groups , the hyperoctahedral groups (signed permutation groups) ${\mat…