Research Article

Comments on the Clique Number of Zero-Divisor Graphs of

Algorithm 2

Generating the zero-divisor graph .
Input: the sets and produced by equation (1)
Output: zero-divisor graph .
(1)Initialization: set the operations (intersection, union and difference, symmetric difference, etc.) on sets and to generate the vertex set .
(2)for to do
(3)
(4) for to do
(5)  if weight weight () then
(6)   Generate the edge set: is the number of vertices connected to , is the set of vertices with the smallest labeling.
(7)  else
(8)   ,
(9)   return Step 6.
(10)  end if
(11) end for
(12)end for
(13)return.