  In this work, the spin wave calculations were carried out using the
Heisenberg Hamiltonian to study the allowed spin waves of zigzag and armchair
edged stripes for ferromagnetic nanodots arrayed in a 2D honeycomb lattice
\cite{Selim2011}. The Hamiltonian is used to construct the $\mathbf{E}$ matrix
which encodes the exchange flow of magnons in the stripes. It is found that the
allowed spin wave modes are the eigenvalues of the $\mathbf{E}$ matrix and
therefore it is used to study the effects of the stripe width, edge exchange,
the edge uniaxial anisotropy, and impurities on the allowed spin waves of
stripes. The obtained results almost coincide with the results of graphene
nanoribbons described by tight binding Hamiltonian for electronic excitations.
Therefore, we suggest the fabrication of the magnetic counterpart to graphene
as a new technology in the field of spintronic devices and magnetic
applications.
