A. Elsonbaty

collaborators

2 papers

math.CO2025

Diophantine Graphs

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

This manuscript introduces Diophantine labeling, a new way of labeling of the vertices for finite simple undirected graphs with some divisibility condition on the edges. Maximal gr…

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…

Diophantine Graphs

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

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