M. Anwar

collaborators

2 papers

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…

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

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

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