7 citations · 19 across the 14 of their papers we have counts for
24 papers
Pattern avoidance in alternating sign rectangles I: Extended avoidance
Hans Höngesberg, Matjaž Konvalinka, Svante Linusson
We introduce extendable pattern avoidance for alternating sign rectangles (ASRs), the natural rectangular generalization of alternating sign matrices (ASMs). An ASR extendably avoi…
Some natural extensions of the parking space
Matjaž Konvalinka, Vasu Tewari
We construct a family of modules indexed by with the property that upon restriction to they recover the classical parking function representatio…
A bijective proof of the ASM theorem, Part I: the operator formula
Ilse Fischer, Matjaz Konvalinka
Alternating sign matrices are known to be equinumerous with descending plane partitions, totally symmetric self-complementary plane partitions and alternating sign triangles, but n…
Asymptotic normality of the major index on standard tableaux
Sara C. Billey, Matjaž Konvalinka, Joshua P. Swanson
We consider the distribution of the major index on standard tableaux of arbitrary straight shape and certain skew shapes. We use cumulants to classify all possible limit laws for a…
Hook, line and sinker: a bijective proof of the skew shifted hook-length formula
Matjaz Konvalinka
A few years ago, Naruse presented a beautiful cancellation-free hook-length formula for skew shapes, both straight and shifted. The formula involves a sum over objects called \emph…
Strong geodetic problem on complete multipartite graphs
Vesna Iršič, Matjaž Konvalinka
The strong geodetic problem is to find the smallest number of vertices such that by fixing one shortest path between each pair, all vertices of the graph are covered. In this paper…