• IDEAL BASED PRIME GRAPH OF RINGS

Abstract

The prime graph of a ring R with respect to an ideal I of R is a graph whose vertices are elements of R - I and any two elements x and y of R - I are adjacent if and only if xRy  I or yRx Í I. We denote this graph as PGI(R). Here we obtain some results on the chromatic number of PG¬I(R).