Ayman El Zein

collaborators

2 papers

math.CO2026

On (1,1,2,3)- and (1,1,3,3,3)-Packing Colorings of Claw-Free Subcubic Graphs

Maidoun Mortada, Ayman El Zein, Sara Al Hajjar

For a non-decreasing sequence $S = (a_{1}, a_{2}, \dots, a_{r})$ of positive integers, an $S$ -packing coloring of a graph $G$ is a partition of $V (G)$ into sets $A_{1}, \dots, A_{r}$ such that an…

math.CO2022

Oriented Hamiltonian Cycles in Tournaments: a Proof of Rosenfeld's Conjecture

Ayman El Zein

Rosenfeld in 1974 conjectured that there is an integer N > 8 such that every tournament of order n > N contains every non-directed cycle of order n. We prove that, with exactly 35…