**50**(2019)

ISSN 1787-6117 (Online)

## Content

### Research papers:

Surfaces with constant extrinsically Gaussian curvature in the Heisenberg group

by Lakehal Belarbi

Pages: 5–17

DOI: 10.33039/ami.2019.01.001

Some k-hop based graph metrics and node ranking in wireless sensor networks

by Csaba Biró, Gábor Kusper

Pages: 19–37

DOI: 10.33039/ami.2018.09.002

Capacity of permutations

by Aubrey Blecher, Charlotte Brennan, Arnold Knopfmacher, Mark Shattuck

Pages: 39–56

DOI: 10.33039/ami.2019.03.004

Fibonacci numbers which are products of two balancing numbers

by Fatih Erduvan, Refik Keskin

Pages: 57–70

DOI: 10.33039/ami.2019.06.001

Topological loops with six-dimensional solvable multiplication groups having five-dimensional nilradical

by Ágota Figula, Kornélia Ficzere, Ameer Al-Abayechi

Pages: 71–87

DOI: 10.33039/ami.2019.08.001

Algorithm for the generation of complement-free sets

by Dániel Fülöp, Carolin Hannusch

Pages: 89–92

DOI: 10.33039/ami.2019.03.002

On the caustics of Bézier curves

by Imre Juhász

Pages: 93–100

DOI: 10.33039/ami.2019.11.001

Pillai’s problem with the Fibonacci and Padovan sequences

by Ana Cecilia García Lomelí, Santos Hernández Hernández, Florian Luca

Pages: 101–115

DOI: 10.33039/ami.2019.09.001

Volumetric flow rate reconstruction in great vessels

by Attila Lovas, Róbert Nagy, Péter Sótonyi, Brigitta Szilágyi

Pages: 117–130

DOI: 10.33039/ami.2019.02.002

On the X-coordinates of Pell equations which are rep-digits, II

by Florian Luca, Sossa Victorin Togan, Alain Togbé

Pages: 131–144

DOI: 10.33039/ami.2018.12.002

Arithmetic subderivatives and Leibniz-additive functions

by Jorma K. Merikoski, Pentti Haukkanen, Timo Tossavainen

Pages: 145–157

DOI: 10.33039/ami.2019.03.003

A note on the exponential Diophantine equation (a^{n}-1)(b^{n}-1)=x^{2}

by Armand Noubissie, Alain Togbé

Pages: 159–165

DOI: 10.33039/ami.2019.11.002

An exponential Diophantine equation related to the difference between powers of two consecutive Balancing numbers

by Salah Eddine Rihane, Bernadette Faye, Florian Luca, Alain Togbé

Pages: 167–177

DOI: 10.33039/ami.2019.03.001

A Marcinkiewicz-Zygmund type strong law of large numbers for non-negative random variables with multidimensional indices

by Tibor Tómács

Pages: 179–185

DOI: 10.33039/ami.2019.12.001

Optimization of hadoop cluster for analyzing large-scale sequence data in bioinformatics

by Ádám Tóth, Ramin Karimi

Pages: 187–202

DOI: 10.33039/ami.2019.01.002

### Methodological papers:

Situation games to ease transition between abstract and real life mathematics for primary school student teachers

by Erika Gyöngyösi-Wiersum, Zita Makó Czapné, Gregory Macrides

Pages: 205–216

DOI: 10.33039/ami.2019.01.003

Proving skills in geometry of secondary grammar school leavers specialized in mathematics

by Ákos Győry, Eszter Kónya

Pages: 217–236

DOI: 10.33039/ami.2019.11.003