Construction of Semi-Regular GraphsGraph theory is widely used to prove many mathematical theorems and models. This paper presents the various techniques of semi-regular graphs to solve problems in different fields of technology in addition to mathematics. We describe different classes of semi-regular graphs and their properties. Further, the paper includes the construction of such graphs and concepts like distance symmetry, k₂ + n, and kₙ + 1. Applications and structural illustrations are discussed in detail.