4 papers
Coven-Meyerowitz T2 necessity through coprime stripe collapse
Jitendra Prajapati
We prove that every finite subset of the integers which tiles by translations satisfies the Coven-Meyerowitz condition T2, with no restriction on the number of prime factors or the…
A counterexample to the Etzion-Silberstein conjecture
Jitendra Prajapati
The Etzion-Silberstein conjecture asserts that the Singleton-type upper bound for linear Ferrers-diagram rank-metric codes is attained for every Ferrers diagram, minimum rank dista…
An explicit construction of two completely independent spanning trees in the four-dimensional dual-cube
Jitendra Prajapati
Lalou, Mbarek, Skender and Togni (arXiv:2607.25917) proved that the -dimensional dual-cube admits two completely independent spanning trees for every , observed th…
A counterexample to the claw-free Schur-positivity conjecture
Jitendra Prajapati
The claw-free Schur-positivity conjecture, recorded by Stanley (1998) and credited there to Gasharov, asserts that the chromatic symmetric function of every claw-free graph is Schu…