Author/Authors :
Kalita, Sanjoy Department of Mathematics - Gauhati University, Guwahati, Assam, India , Patra, Kuntala Department of Mathematics - Gauhati University, Guwahati, Assam, India
Abstract :
Prime graph of a ring R is a graph whose vertex set is the whole set R any any two elements x and y of R are adjacent in the graph if and only if xRy=0 or yRx=0. Prime graph of a ring is denoted by PG(R). Directed prime graphs for non-commutative rings and connectivity in the graph are studied in the present paper. The diameter and girth of this graph are also studied in the paper.
