A. Gaber

collaborators

4 papers

math.NT2022

Pell and Pell-Lucas numbers as sums of two Jacobsthal numbers

Ahmed Gaber

We solve the two Diophantine equations $P_{k} = J_{n} + J_{m}$ and $Q_{k} = J_{n} + J_{m}$ where ${P_{k}}_{k \geq 0}$ , ${Q_{k}}_{k \geq 0}$ and $\left\lbrac…

math.NT2022

On the diophantaine equations $J_{N} + J_{M} = F_{A}$ & $F_{N} + F_{M} = J_{A}$

Seif Tarek, Ahmed Gaber, M. Anwar

Let ${F_{k}}_{k \geq 0}$ be the Fibonacci sequence defined by $F_{k} = F_{F - 1} + F_{k - 2}$ for all $n \geq 2$ with initials $F_{0} = 0 F_{1} = 1$ . Let $\left\lbrace J…

math.CO2022

New bounds on the number of Edges of the maximal Permutation Graphs

M. Anwar, Mahmoud Tarek, Ahmed Gaber

In this paper, we bound the number of edges of a maximal permutation graph with n vertices. We propose a new method to compute the lower bound by splitting the set of labellings of…

math.AC2022

Corrigendum to: Zero divisor gragh of a lattice with respect to an ideal

Ahmed Gaber, Mona Tarek

In this paper, we point out several errors in [M.Afkhami, K.Khashyarmanesh and K.Nafar, Zero divisor graph of a lattice with respect to an ideal, Beitr Algebra Geom (2015), 217-225…

Pell and Pell-Lucas numbers as sums of two Jacobsthal numbers

On the diophantaine equations JN​+JM​=FA​ & FN​+FM​=JA​

New bounds on the number of Edges of the maximal Permutation Graphs

Corrigendum to: Zero divisor gragh of a lattice with respect to an ideal

On the diophantaine equations $J_{N} + J_{M} = F_{A}$ & $F_{N} + F_{M} = J_{A}$