7 citations · 9 across the 8 of their papers we have counts for
10 papers
The Eulerian numbers can D.I.E
Matjaž Konvalinka, T. Kyle Petersen
The Eulerian numbers form a triangular array with many interesting properties. The numbers arise from various combinatorial and probabilistic interpretations, and have been studied…
Generalized rank functions and quilts of alternating sign matrices
Sara Billey, Matjaž Konvalinka
In this paper, we present new objects, quilts of alternating sign matrices with respect to two given posets. Quilts generalize several commonly used concepts in mathematics. For ex…
Alternating sign matrices and totally symmetric plane partitions
Florian Aigner, Ilse Fischer
We introduce a new family of Schur positive symmetric functions, which are defined as sums over totally symmetric plane partitions. In the first part, we show t…
Divisors on complete multigraphs and Donaldson-Thomas invariants of loop quivers
Matjaž Konvalinka, Markus Reineke, Vasu Tewari
We study the action of on the set of break divisors on complete multigraphs . We provide an alternative characterization for these divisors, by virtue of which we sh…
Alternating sign matrices and totally symmetric plane partitions
Florian Aigner, Ilse Fischer, Matjaž Konvalinka +2
We study the Schur polynomial expansion of a family of symmetric polynomials related to the refined enumeration of alternating sign matrices with respect to their inversion number,…
On the distribution of the major index on standard Young tableaux
Sara C. Billey, Matjaž Konvalinka, Joshua P. Swanson
The study of permutation and partition statistics is a classical topic in enumerative combinatorics. The major index statistic on permutations was introduced a century ago by Percy…