14 citations · 18 across the 6 of their papers we have counts for
9 papers
Nearest neighbor representations of Boolean functions
Péter Hajnal, Zhihao Liu, György Turán
A nearest neighbor representation of a Boolean function is a set of positive and negative prototypes in such that the function has value 1 on an input iff the closest prototy…
Poly-Bernoulli Numbers and Eulerian Numbers
Beata Benyi, Peter Hajnal
In this note we prove combinatorially some new formulas connecting poly-Bernoulli numbers with negative indices to Eulerian numbers.
On the number of generalized Sidon sets
József Balogh, Lina Li
A set of nonnegative integers is called a Sidon set if there is no Sidon 4-tuple, i.e., in with and . Cameron and Erd…
Combinatorial properties of poly-Bernoulli relatives
Beáta Bényi, Péter Hajnal
In this note we augment the poly-Bernoulli family with two new combinatorial objects. We derive formulas for the relatives of the poly-Bernoulli numbers using the appropriate varia…
On the staircases of Gyárfás
János Csányi, Peter Hajnal, Gábor V. Nagy
Gyárfás investigated a geometric Ramsey problem on convex, separated, balanced, geometric . This led to appealing extremal problem on square - matrices. Gyárfás conj…
Combinatorics of poly-Bernoulli numbers
Beáta Bényi, Peter Hajnal
The poly-Bernoulli numbers --- a natural generalization of classical Bernoulli numbers () --- were introduced by Kaneko in 1997. When…