3 papers
math.CO2023
On The Toric Ideals of the Coloured Graphs of Reduced Words
Praise Adeyemo
We study a family of pseudo-multipartite graphs indexed by staircase partitions. They are realised from the reduced words of certain class of permutations. We investi…
math.CO2022
Grassmannians in the Lattice points of Dilations of the Standard Simplex
Praise Adeyemo
A remarkable connection between the cohomology ring of the Grasssmannian and the lattice points of the dilation of the st…
math.CO2022
Refined Ehrhart series and bigraded rings
Praise Adeyemo, Balazs Szendroi
We study a natural set of refinements of the Ehrhart series of a closed polytope, first considered by Chapoton. We compute the refined series in full generality for a simplex of di…