Research Article

Comments on the Clique Number of Zero-Divisor Graphs of

Algorithm 1

Clique number algotithm.
Input: integer
Output: the clique number
(1)Pollard Rho Prime Factorization ( is prime, is index).
(2)if is a composite number then
(3) if = 1(i = 1 to n) then
(4)  The clique number is the number of prime factors .
(5) else if mod 2 0 (i = 1 to ) then
(6)  The clique number is .
(7) else if mod 2 0 ( =1 to ) and mod 2 1 ( =1 to ) and and then
(8)  The clique number is ( is the number of prime factors that are odd, and is the number of prime factors that are even).
(9) else
(10)  Integer is prime, and the clique number does not exist.
(11) end if
(12)end if