engineering recuitment GATE CSE 2023-24 Test Series Engineering Mathematics Set Theory & Algebra Partial Orders
Consider the set A = {1,2,3,6,9,18} under the partial ordering
R = {(1 , 1) , (1 , 2) , (1 , 3) , (1 , 6) , (1 , 9) , (1 , 18) , (2 , 2) , (2 , 6) , (2 , 18) , (3 , 3) , (3 , 6) ,(3, 9) (3 , 18), (6 , 6) , (6 , 18) , (9 , 9) , (18 , 18)}
The minimum number of ordered pairs that need to be added to R to make (X, R) a lattice is ______
Enter numerical value using the virtual keypad. Round off where necessary.