Constructions of graphs from algebraic structures

Abstract

The study of algebraic structures, using the properties of graphs, newlinebecomes an exciting research topic in the last twenty years, leading newlineto many fascinating results and questions. There are many papers on newlineassigning a graph to a ring or group and thereby investigating alge newlinebraic properties of the ring or group using the associated graph. The newlinestudy of rings can be used to solve problems arising in number theory, newlinegeometry and many other and#64257;elds. In this dissertation, an attempt has newlinebeen made to study about graphs from rings. newline newline