**HASSE DIAGRAM**

**Hasse Diagram:**Hasse diagram generally used to represent partial order relations in equivalent but in simpler forms by removing non critical parts of the relation.

**For example:**

Below diagram represent a partial order relation.

This can relation can be modify as-

- Remove all loops.
- Remove all arrows that can be inferred from transitivity.

Than above diagram represented as-

Above diagram is known as Hasse diagram for a partial order relation.

To know about

Solution. Click here.

To know about

*click here.***partial order relation****Problems based on above study:**

**Prob.**What is Hasse diagram? Draw the Hasse diagram of the set D

_{30 }of positive integral divisor of 30 with relation ‘1’.

**Prob.**Let A = ( a, b, c, d} and P(A) its power set. Draw Hasse diagram of [P(A), ⊆].

**Prob.**Let A = {2, 3, 6, 12, 24, 36} and the relation ≤ be such that a ≤ b, if a divides b. Draw the Hasse diagram of (A ≤).

Solution. Click here.

**SEE ALSO:**