10 citations · 14 across the 3 of their papers we have counts for
5 papers
Minimal definable graphs of definable chromatic number at least three
Raphael Carroy, Benjamin D. Miller, David Schrittesser +1
We show that there is a Borel graph on a standard Borel space of Borel chromatic number three that admits a Borel homomorphism to every analytic graph on a standard Borel space of…
Resting state fMRI functional connectivity-based classification using a convolutional neural network architecture
Regina Meszlényi, Krisztian Buza, Zoltán Vidnyánszky
Machine learning techniques have become increasingly popular in the field of resting state fMRI (functional magnetic resonance imaging) network based classification. However, the a…
Unions of regular polygons with large perimeter-to-area ratio
Viktor Kiss, Zoltán Vidnyánszky
T. Keleti asked, whether the ratio of the perimeter and the area of a finite union of unit squares is always at most 4. In this paper we present an example where the ratio is great…
Haar null sets without hulls
Márton Elekes, Zoltán Vidnyánszky
Let be an abelian Polish group, e.g. a separable Banach space. A subset is called Haar null (in the sense of Christensen) if there exists a Borel set $B \supset X…
Transfinite inductions producing coanalytic sets
Zoltán Vidnyánszky
A. Miller proved the consistent existence of a coanalytic two-point set, Hamel basis and MAD family. In these cases the classical transfinite induction can be modified to produce a…