155 citations · 525 across the 43 of their papers we have counts for
5 papers · 2 filters
Structure and enumeration of (3+1)-free posets (extended abstract)
Mathieu Guay-Paquet, Alejandro H. Morales, Eric Rowland
A poset is (3+1)-free if it does not contain the disjoint union of chains of length 3 and 1 as an induced subposet. These posets are the subject of the (3+1)-free conjecture of Sta…
Flow polytopes of signed graphs and the Kostant partition function
Karola Meszaros, Alejandro H. Morales
We establish the relationship between volumes of flow polytopes associated to signed graphs and the Kostant partition function. A special case of this relationship, namely, when th…
Counting trees using symmetries
Olivier Bernardi, Alejandro H. Morales
We prove a new formula for the generating function of multitype Cayley trees counted according to their degree distribution. Using this formula we recover and extend several enumer…
Counting matrices over finite fields with support on skew Young diagrams and complements of Rothe diagrams
Aaron J. Klein, Joel Brewster Lewis, Alejandro H. Morales
We consider the problem of finding the number of matrices over a finite field with a certain rank and with support that avoids a subset of the entries. These matrices are a q-analo…
Separation probabilities for products of permutations
Olivier Bernardi, Alejandro H. Morales, Richard P. Stanley +1
We study the mixing properties of permutations obtained as a product of two uniformly random permutations of fixed cycle types. For instance, we give an exact formula for the proba…