Asma Ilkhanizadeh Manesh - Department of Mathematics, Vali-e-Asr University of Rafsanjan, P.O. Box: ۷۷۱۳۹۳۶۴۱۷, Rafsanjan, Iran.

A toeplitz matrix or diagonal-constant matrix is a matrix in which each descending diagonal from left to right is constant. A matrix R is called integral row stochastic, if each row has exactly a nonzero entry, +۱, and other entries are zero. In this  paper, we present L-rays of integral row stochastic toeplitz matrices, and  we provide an algorithm for constructing these matrices.