The central vertices and radius of the regular graph of ideals‎

The regular graph of ideals of the commutative ring R‎, ‎denoted by {\Gamma_{reg}}(R)‎, ‎is a graph whose vertex‎ ‎set is the set of all non-trivial ideals of R and two distinct vertices I and J are adjacent if and only if either I contains a J-regular element or J contains an I-regular element‎. ‎In this paper‎, ‎it is proved that the radius of \Gamma_{reg}(R) equals ۳‎. ‎The central vertices of \Gamma_{reg}(R) are determined‎, ‎too‎.

کلیدواژه ها:

‎Arc‎ ، ‎artinian ring‎ ، eccentricity‎ ، ‎radius‎ ، ‎regular digraph