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In this book we study of the propagation of G type waves along the plane surface at the interface of two different types of media. The upper medium is taken as mono-clinic magneto-elastic layer whereas the lower half space is in-homogeneous isotropic. Keeping terms up to first order, the Laplace transform of the displacement is obtained. Dispersion equation and condition for maximum energy flow near the surface are obtained in compact form. The dispersion equation is in assertion with the classical Love-type wave equation for the isotropic case. Effect of magnetic field and in-homogeneity on phase velocity and variation of group velocity with scaled wave number has been depicted by means of graphs. It is observed that in-homogeneity decreases phase velocity and the magnetic field has the favoring effect. A comparative study for the case of isotropic layer and mono-clinic layer over the same isotropic in-homogeneous half space has been made through graphs.