Zahraa Mohsen

most citedNeighborly partitions and the numerators of Rogers-Ramanujan identities

1 citations · 1 across the 3 of their papers we have counts for

collaborators

3 papers

math.CO2022

Four Blocks Cycles C(k,1,1,1) in Digraphs

Zahraa Mohsen

A four blocks cycle C(k1,k2,k3,k4) is an oriented cycle formed by the union of four internally disjoint directed paths of lengths k1,k2,k3 and k4 respectively. El Mniny proved that…

math.CO2022★ 1 cited

Neighborly partitions and the numerators of Rogers-Ramanujan identities

Zahraa Mohsen, Hussein Mourtada

We prove two partition identities which are dual to the Rogers-Ramanujan identities. These identities are inspired by (and proved using) a correspondence between three kinds of obj…

math.CO2021

Paths With Three Blocks In Digraphs

Maidoun Mortada, Amine El Sahili, Zahraa Mohsen

A path with three blocks $P (k, l, r)$ is an oriented path formed by $k$ -forward arcs followed by $l$ -backward arcs then $r$ -forward arcs. We prove that any $(2 k + 1)$ -chromatic digraph…