use off geometric types

I create a db : createdb geop
I log into the db : psql geo
I create a table named poly :
geo=# create table poly (parc varchar(15), graphic polygon);

I populate the table :
insert into poly values('A52','(2,1),(1,3),(2,5),(4,6),(6,4),(5,2)');
insert into poly values('A135','(3,3),(7,4),(8,2),(4,1)');

Now I would look i the first polygon overlaps the second using the
varchars for retriving the poly.
I could do it so :
geo=# select '((2,1),(1,3),(2,5),(4,6),(6,4),(5,2))'::polygon &&
'((3,3),(7,4),(8,2),(4,1))'::polygon;
?column?
----------
t
(1 row)
Now I can I do to have something like :
geo=# select graphic::polygon from poly where parc='A52' && select
graphic::polygon from poly where parc='A135';

Thanks for help
Didier.