POLYNOMIAL REPRESENTATION OF SOME
Let be the ring of integers modulo n. The prime graph of denoted by is defined as the graph whose vertex set consists of all elements of and any two distinct vertices x and y are adjacent if and only if or where 0 is the set containing the additive identity of
Let G be a simple graph and be the maximum degree of G. The polynomial representation of G, denoted by is the polynomial over of the form where is the number of vertices in G with degree i for each
In this paper, we establish the polynomial representation of some prime graphs of
polynomial representation.