• ON INTEGRAL PERFECT FACTOGRAPH AND INTEGRAL BI-FACTOGRAPH

Abstract

Using the theorem of unique factorization for integers, every positive integer can be written in the canonical form, where are distinct primes are positive integers. We can construct a graph which is associated with this Integral divisors of being a vertex set ,  two distinct vertices of V are adjacent in if their product is in and the corresponding graph is called Integral Factograph. For given z, we have introduced two new classes of graphs namely, Integral Perfect Factograph and Integral Bi-Factograph with respect to the values and , attempt to find their  degree sequence and clique number.