3 citations · 3 across the 6 of their papers we have counts for
Showing 2021Show all
3 papers · 1 filter
math.CO2021
A Periodicity Result for Tilings of by Clusters of Prime-Squared Cardinality
Abhishek Khetan
We show that if can be tiled by translated copies of a set of cardinality the square of a prime then there is a weakly periodic -tiling of…
math.CO2021
A Ramsey Theorem for Graded Lattices
Abhishek Khetan, Amitava Bhattacharya
We develop a Van der Waerden type theorem in an axiomatic setting of graded lattices and show that this axiomatic formulation can be applied to various lattices, for instance the s…
math.DS2021
On Configurations of Order 2
Abhishek Khetan
Let be a configuration with a non-trivial annihilator. We show that if is weakly periodic then the directions of periodicity in a minimal weakly per…