Which relation corresponds to the following digraphSolutionH

Which relation corresponds to the following digraph:

Solution

Here the diagram belongs to Reflexive Relation.

here let\'s take set A={1,2,3,4}. having relation R on set A.

R={(1,1),(1,2),(2,1),(3,4),(4,2),(4,3)} .all the elements in the relations R are in set A. so it is a reflexive relation.

Reflexive Defination: A relation R on set A is reflexive if(a,a) belongs to A, i.e, if aRa, for all a belongsto A.

As per defenation we have all the elements of set A in Relation R and hence the diagram belongs to Reflexive.