4 citations · 7 across the 13 of their papers we have counts for
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Fuglede's Conjecture on Cyclic Groups of Square-Free Order: The Case of Rapidly Growing Prime Factors
Gábor Somlai
The main result of the paper is that an inductive argument is established to prove the Fuglede's conjecture for an infinite sequence of square-free order cyclic groups. The tile-to…
Functional tilings and the Coven-Meyerowitz tiling conditions
Gergely Kiss, Itay Londner, Máté Matolcsi +1
Coven and Meyerowitz formulated two conditions which have since been conjectured to characterize all finite sets that tile the integers by translation. By periodicity, this conject…
A lonely weak tile
Gergely Kiss, Itay Londner, Máté Matolcsi +1
The notion of weak tiling was a key ingredient in the proof of Fuglede's spectral set conjecture for convex bodies \cite{conv}, due to the fact that every spectral set tiles its co…
CI-property of and for digraphs
István Kovács, Mikhail Muzychuk, Péter P. Pálfy +2
We prove that the direct product of two coprime order elementary abelian groups of rank two, as well as the direct product of a cyclic group of prime order and a cyclic group of sq…
Non-expander Cayley graphs of simple groups
Gabor Somlai
For every infinite sequence of simple groups of Lie type of growing rank we exhibit connected Cayley graphs of degree at most 10 such that the isoperimetric number of these graphs…