Prime Graph of the Commutative Ring Z^n
Kuntala Patra, Sanjoy Kalita · Mathematika · 2014
Prime graph is a graph associated to rings denoted by PG(R). PG(R) is defined as the graph whose vertices are the elements of the ring R and any two elements x and y of R are adjacent in PG(R) if and only if xRy = 0 or yRx = 0. In this paper the chromatic number of prime graph of some rings namely Zn, where n = Qr i=1 pαi i are studied. Keywords : Prime Graph; Chromatic Numbers. 2010 Mathematics Subject Classification 05C25; 05C15; 13E15