Postgresql remove duplicate reversed pairs

I have this table:

 origin     destination

new york      seattle
new york      chicago
new york      portland
seattle       new york
seattle       chicago
chicago       new york

I have to build a graph so I need to remove all the duplicated reversed pairs to have:

origin      destination oneway

new york      seattle     0
new york      chicago     0
new york      portland    1
seattle       chicago     1

I already read this post: SQL -- Remove duplicate pairs but it's not useful for me because I have string filed.

Thanks

One method uses aggregation:

select origin, destination,
       (case when exists (select 1
                          from t t2
                          where t2.origin = t.destination and t2.destination = t.origin
                         )
             then 0 else 1
        end) as one_way
from t
where origin < destination
union all
select origin, destination, 1
from t
where origin > destination;

An alternative method uses window functions:

select origin, destination, (cnt = 1)::int as one_way
from (select t.*,
             count(*) over (partition by least(origin, destination), greatest(origin, destination)) as cnt
      from t
     ) t
where origin < destination or
      (origin > destination and cnt = 1);