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math.CO2022★ 2 cited
A combinatorial proof of a symmetry for a refinement of the Narayana numbers
Miklós Bóna, Stoyan Dimitrov, Gilbert Labelle +4
We establish a tantalizing symmetry of certain numbers refining the Narayana numbers. In terms of Dyck paths, this symmetry is interpreted in the following way: if is t…
math.CO2022★ 2 cited
Generalized parking function polytopes
Mitsuki Hanada, John Lentfer, Andrés R. Vindas-Meléndez
A classical parking function of length is a list of positive integers whose nondecreasing rearrangement satisfies…
math.CO2022
On the critical group of hinge graphs
Aren Martinian, Andrés R. Vindas-Meléndez
Let be a finite, connected, simple graph. The critical group , also known as the sandpile group, is the torsion subgroup of the cokernel of the graph Laplacian $\operator…