M. Seoud

collaborators

2 papers

math.CO2024

Some Necessary and Sufficient Conditions for Diophantine Graphs

M. A. Seoud, A. Elsonbaty, A. Nasr +1

A linear Diophantine equation $a x + b y = n$ is solvable if and only if gcd $(a; b)$ divides $n$ . A graph $G$ of order $n$ is called Diophantine if there exists a labeling function $…

math.NT2024

On the Diophantine Equations $J_{n} + J_{m} = L_{k}$ and $L_{n} + L_{m} = J_{k}$

Osama Salah, A. Elsonbaty, Mohammed Abdul Azim Seoud +1

This paper finds all Lucas numbers which are the sum of two Jacobsthal numbers. It also finds all Jacobsthal numbers which are the sum of two Lucas numbers. In general, we find all…

Some Necessary and Sufficient Conditions for Diophantine Graphs

On the Diophantine Equations Jn​+Jm​=Lk​ and Ln​+Lm​=Jk​

On the Diophantine Equations $J_{n} + J_{m} = L_{k}$ and $L_{n} + L_{m} = J_{k}$