The homomorfohic product graph over monogenic semigroups

Graph theory has a wide range of applications, simplifying solutions to seemingly complex problems. This theory used by every science system and facilitates its modeling, is constantly renewed and always follows the necessary ones to ensure that it responds to the requirements. As an example, we can examine the relationship structures in social media networks; We use algebraic structures to help make sense when returning to shapes. This study consists of five main parts. The first part contains information about graph theory and graph details. The second part includes applications on graph theory and reference studies on the graph relationship with monogenic semigroups. Third part graphics products are included, details are found to navigate the sections of these products. In the fourth part, homomorphic product graphs were obtained by using monogenic semigroup elements by mentioning the features of monogenic semi-groups in homomorphic product. It was found in some parameters of the graphs we obtained. The fifth part included discussion and suggestions.