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math.CA2020★ 20 cited
Fuglede's conjecture holds for cyclic groups of order
Gergely Kiss, Romanos Diogenes Malikiosis, Gábor Somlai +1
The tile-spectral direction of the discrete Fuglede-conjecture is well-known for cyclic groups of square-free order, initiated by Laba and Meyerowitz, but the spectral-tile directi…
math.MG2020
Minimum area isosceles containers
Gergely Kiss, János Pach, Gábor Somlai
We show that every minimum area isosceles triangle containing a given triangle shares a side and an angle with . This proves a conjecture of Nandakumar motivated by a comput…