Recent developments on the power graph of finite groups – a survey

Algebraic graph theory is the study of interplay between algebraic structures (both abstract as well linear structures) and theory. Many concepts algebra have facilitated through construction graphs which are used tools in computer science. Conversely, has also helped to characterize certain properties structures. In this survey, we highlight rich two topics viz groups power from groups. last decade, extensive contribution been made towards investigation graphs. Our main motive provide a complete survey on connectedness proper graphs, Laplacian adjacency spectrum graph, isomorphism, automorphism characterization terms Apart results, paper contains some new material such contents Section 2 (which describes interesting case Mathieu group M11) 6.1 (where conditions discussed for reduced be not connected). We conclude by presenting set open problems conjectures