1 Attachment(s)

Partial Order relation and hasse diagram mxa/min

I have a set

A={2,3,4,5,12,15,18} with a x|y relationship.

Therefore, I beleive,

R = {

(2,2) (2,4) (2,12) (2,18)

(3,3) (3,12) (3,15) (3,18)

(4,4) (4,12)

(5,5) (5,15)

(12,12)

(15,15)

(18,18)

}

I can prove a partial order relationship with a directed graph showing reflexive, transistive and antisymetric.

Does the hasse diagram look like this?

Attachment 19084

max = 18

min = 2,5

18 is the greatest,

There is no and least vertex because more than 1 minimal.

is this correct?