5 citations · 20 across the 12 of their papers we have counts for
15 papers
Sequences involving square zig-zag shapes
László Németh, László Szalay
We define a so-called square -zig-zag shape as a part of the regular square grid. Considering the shape as a -zig-zag digraph, we give values of its vertices according to the…
The deranged Bell numbers
Hacéne Belbachir, Yahia Djemmada, László Németh
It is known that the ordered Bell numbers count all the ordered partitions of the set . In this paper, we introduce the deranged Bell numbers that count the to…
Resolution of the equation
Kálmán Liptai, László Németh, Gökhan Soydan +1
Consider the diophantine equation in positive integers , and . Each side of the equation is a product of two…
Tilings of -board with colored cubes and bricks
László Németh
Several articles deal with tilings with squares and dominoes on 2-dimensional boards, but only a few on boards in 3-dimensional space. We examine a tiling problem with colored cube…
Trend detection in GEV models
László Németh, Zuzana Hübnerová, András Zempléni
In recent environmental studies extreme events have a great impact. The yearly and monthly maxima of environment related indices can be analysed by the tools of extreme value theor…
Tetrahedron trinomial coefficient transform
László Németh
We introduce the tetrahedron trinomial coefficient transform which takes a Pascal-like arithmetical triangle to a sequence. We define a Pascal-like infinite tetrahedron H, and prov…
On sunlet graphs connected to a specific map on
Omar Khadir, László Németh, László Szalay
In this article, we study the structure of the graph implied by a given map on the set , where is an odd prime. The consecutive applications of the map g…
Tilings of hyperbolic -board with colored squares and dominoes
Takao Komatsu, László Németh, László Szalay
Several articles deal with tilings with squares and dominoes of the well-known regular square mosaic in Euclidean plane, but not any with the hyperbolic regular square mosaics. In…
Regression estimator for the tail index
László Németh, András Zempléni
Estimating the tail index parameter is one of the primal objectives in extreme value theory. For heavy-tailed distributions the Hill estimator is the most popular way to estimate t…
On the Diophantine equation
Gökhan Soydan, László Németh, László Szalay
Let denote the term of the Fibonacci sequence. In this paper, we investigate the Diophantine equation in the positive integers…
A geometrical proof of sum of
László Németh
In this article, we present a geometrical proof of sum of where goes from up to . Although there exist some summation forms and the proofs are simple, they use…
Alternating sums in hyperbolic Pascal triangles
László Németh, László Szalay
A new generalization of Pascal's triangle, the so-called hyperbolic Pascal triangles were introduced in [H.B, L.N, L.Sz: Hyperbolic Pascal triangles]. The mathematical background g…
Recurrence sequences in the hyperbolic Pascal triangle corresponding to the regular mosaic $\{4,5\}
László Németh, László Szalay
Recently, a new generalization of Pascal's triangle, the so-called hyperbolic Pascal triangles were introduced. The mathematical background goes back to the regular mosaics in the…
Pascal pyramid in the space
László Németh
In this article we introduce a new type of Pascal pyramids. A regular squared mosaic in the hyperbolic plane yields a -cube mosaic in space $\mathbf{H}^2\!\times\!\mathbf{R…
Coincidences in numbers of graph vertices corresponding to regular planar hyperbolic mosaics
László Németh, László Szalay
The aim of this paper is to determine the elements which are in two pairs of sequences linked to the regular mosaics and on the hyperbolic plane. The problem le…