(1, 4, 'arc 1 -> 4'),
(4, 5, 'arc 4 -> 5'),
(5, 1, 'arc 5 -> 1');
-with recursive search_graph(f, t, label, path, cycle) as (
- select *, array[row(g.f, g.t)], false from graph g
+with recursive search_graph(f, t, label, is_cycle, path) as (
+ select *, false, array[row(g.f, g.t)] from graph g
union all
- select g.*, path || row(g.f, g.t), row(g.f, g.t) = any(path)
+ select g.*, row(g.f, g.t) = any(path), path || row(g.f, g.t)
from graph g, search_graph sg
- where g.f = sg.t and not cycle
+ where g.f = sg.t and not is_cycle
)
select * from search_graph;
- f | t | label | path | cycle
----+---+------------+-------------------------------------------+-------
- 1 | 2 | arc 1 -> 2 | {"(1,2)"} | f
- 1 | 3 | arc 1 -> 3 | {"(1,3)"} | f
- 2 | 3 | arc 2 -> 3 | {"(2,3)"} | f
- 1 | 4 | arc 1 -> 4 | {"(1,4)"} | f
- 4 | 5 | arc 4 -> 5 | {"(4,5)"} | f
- 5 | 1 | arc 5 -> 1 | {"(5,1)"} | f
- 1 | 2 | arc 1 -> 2 | {"(5,1)","(1,2)"} | f
- 1 | 3 | arc 1 -> 3 | {"(5,1)","(1,3)"} | f
- 1 | 4 | arc 1 -> 4 | {"(5,1)","(1,4)"} | f
- 2 | 3 | arc 2 -> 3 | {"(1,2)","(2,3)"} | f
- 4 | 5 | arc 4 -> 5 | {"(1,4)","(4,5)"} | f
- 5 | 1 | arc 5 -> 1 | {"(4,5)","(5,1)"} | f
- 1 | 2 | arc 1 -> 2 | {"(4,5)","(5,1)","(1,2)"} | f
- 1 | 3 | arc 1 -> 3 | {"(4,5)","(5,1)","(1,3)"} | f
- 1 | 4 | arc 1 -> 4 | {"(4,5)","(5,1)","(1,4)"} | f
- 2 | 3 | arc 2 -> 3 | {"(5,1)","(1,2)","(2,3)"} | f
- 4 | 5 | arc 4 -> 5 | {"(5,1)","(1,4)","(4,5)"} | f
- 5 | 1 | arc 5 -> 1 | {"(1,4)","(4,5)","(5,1)"} | f
- 1 | 2 | arc 1 -> 2 | {"(1,4)","(4,5)","(5,1)","(1,2)"} | f
- 1 | 3 | arc 1 -> 3 | {"(1,4)","(4,5)","(5,1)","(1,3)"} | f
- 1 | 4 | arc 1 -> 4 | {"(1,4)","(4,5)","(5,1)","(1,4)"} | t
- 2 | 3 | arc 2 -> 3 | {"(4,5)","(5,1)","(1,2)","(2,3)"} | f
- 4 | 5 | arc 4 -> 5 | {"(4,5)","(5,1)","(1,4)","(4,5)"} | t
- 5 | 1 | arc 5 -> 1 | {"(5,1)","(1,4)","(4,5)","(5,1)"} | t
- 2 | 3 | arc 2 -> 3 | {"(1,4)","(4,5)","(5,1)","(1,2)","(2,3)"} | f
+ f | t | label | is_cycle | path
+---+---+------------+----------+-------------------------------------------
+ 1 | 2 | arc 1 -> 2 | f | {"(1,2)"}
+ 1 | 3 | arc 1 -> 3 | f | {"(1,3)"}
+ 2 | 3 | arc 2 -> 3 | f | {"(2,3)"}
+ 1 | 4 | arc 1 -> 4 | f | {"(1,4)"}
+ 4 | 5 | arc 4 -> 5 | f | {"(4,5)"}
+ 5 | 1 | arc 5 -> 1 | f | {"(5,1)"}
+ 1 | 2 | arc 1 -> 2 | f | {"(5,1)","(1,2)"}
+ 1 | 3 | arc 1 -> 3 | f | {"(5,1)","(1,3)"}
+ 1 | 4 | arc 1 -> 4 | f | {"(5,1)","(1,4)"}
+ 2 | 3 | arc 2 -> 3 | f | {"(1,2)","(2,3)"}
+ 4 | 5 | arc 4 -> 5 | f | {"(1,4)","(4,5)"}
+ 5 | 1 | arc 5 -> 1 | f | {"(4,5)","(5,1)"}
+ 1 | 2 | arc 1 -> 2 | f | {"(4,5)","(5,1)","(1,2)"}
+ 1 | 3 | arc 1 -> 3 | f | {"(4,5)","(5,1)","(1,3)"}
+ 1 | 4 | arc 1 -> 4 | f | {"(4,5)","(5,1)","(1,4)"}
+ 2 | 3 | arc 2 -> 3 | f | {"(5,1)","(1,2)","(2,3)"}
+ 4 | 5 | arc 4 -> 5 | f | {"(5,1)","(1,4)","(4,5)"}
+ 5 | 1 | arc 5 -> 1 | f | {"(1,4)","(4,5)","(5,1)"}
+ 1 | 2 | arc 1 -> 2 | f | {"(1,4)","(4,5)","(5,1)","(1,2)"}
+ 1 | 3 | arc 1 -> 3 | f | {"(1,4)","(4,5)","(5,1)","(1,3)"}
+ 1 | 4 | arc 1 -> 4 | t | {"(1,4)","(4,5)","(5,1)","(1,4)"}
+ 2 | 3 | arc 2 -> 3 | f | {"(4,5)","(5,1)","(1,2)","(2,3)"}
+ 4 | 5 | arc 4 -> 5 | t | {"(4,5)","(5,1)","(1,4)","(4,5)"}
+ 5 | 1 | arc 5 -> 1 | t | {"(5,1)","(1,4)","(4,5)","(5,1)"}
+ 2 | 3 | arc 2 -> 3 | f | {"(1,4)","(4,5)","(5,1)","(1,2)","(2,3)"}
(25 rows)
-- ordering by the path column has same effect as SEARCH DEPTH FIRST
-with recursive search_graph(f, t, label, path, cycle) as (
- select *, array[row(g.f, g.t)], false from graph g
+with recursive search_graph(f, t, label, is_cycle, path) as (
+ select *, false, array[row(g.f, g.t)] from graph g
union all
- select g.*, path || row(g.f, g.t), row(g.f, g.t) = any(path)
+ select g.*, row(g.f, g.t) = any(path), path || row(g.f, g.t)
from graph g, search_graph sg
- where g.f = sg.t and not cycle
+ where g.f = sg.t and not is_cycle
)
select * from search_graph order by path;
- f | t | label | path | cycle
----+---+------------+-------------------------------------------+-------
- 1 | 2 | arc 1 -> 2 | {"(1,2)"} | f
- 2 | 3 | arc 2 -> 3 | {"(1,2)","(2,3)"} | f
- 1 | 3 | arc 1 -> 3 | {"(1,3)"} | f
- 1 | 4 | arc 1 -> 4 | {"(1,4)"} | f
- 4 | 5 | arc 4 -> 5 | {"(1,4)","(4,5)"} | f
- 5 | 1 | arc 5 -> 1 | {"(1,4)","(4,5)","(5,1)"} | f
- 1 | 2 | arc 1 -> 2 | {"(1,4)","(4,5)","(5,1)","(1,2)"} | f
- 2 | 3 | arc 2 -> 3 | {"(1,4)","(4,5)","(5,1)","(1,2)","(2,3)"} | f
- 1 | 3 | arc 1 -> 3 | {"(1,4)","(4,5)","(5,1)","(1,3)"} | f
- 1 | 4 | arc 1 -> 4 | {"(1,4)","(4,5)","(5,1)","(1,4)"} | t
- 2 | 3 | arc 2 -> 3 | {"(2,3)"} | f
- 4 | 5 | arc 4 -> 5 | {"(4,5)"} | f
- 5 | 1 | arc 5 -> 1 | {"(4,5)","(5,1)"} | f
- 1 | 2 | arc 1 -> 2 | {"(4,5)","(5,1)","(1,2)"} | f
- 2 | 3 | arc 2 -> 3 | {"(4,5)","(5,1)","(1,2)","(2,3)"} | f
- 1 | 3 | arc 1 -> 3 | {"(4,5)","(5,1)","(1,3)"} | f
- 1 | 4 | arc 1 -> 4 | {"(4,5)","(5,1)","(1,4)"} | f
- 4 | 5 | arc 4 -> 5 | {"(4,5)","(5,1)","(1,4)","(4,5)"} | t
- 5 | 1 | arc 5 -> 1 | {"(5,1)"} | f
- 1 | 2 | arc 1 -> 2 | {"(5,1)","(1,2)"} | f
- 2 | 3 | arc 2 -> 3 | {"(5,1)","(1,2)","(2,3)"} | f
- 1 | 3 | arc 1 -> 3 | {"(5,1)","(1,3)"} | f
- 1 | 4 | arc 1 -> 4 | {"(5,1)","(1,4)"} | f
- 4 | 5 | arc 4 -> 5 | {"(5,1)","(1,4)","(4,5)"} | f
- 5 | 1 | arc 5 -> 1 | {"(5,1)","(1,4)","(4,5)","(5,1)"} | t
+ f | t | label | is_cycle | path
+---+---+------------+----------+-------------------------------------------
+ 1 | 2 | arc 1 -> 2 | f | {"(1,2)"}
+ 2 | 3 | arc 2 -> 3 | f | {"(1,2)","(2,3)"}
+ 1 | 3 | arc 1 -> 3 | f | {"(1,3)"}
+ 1 | 4 | arc 1 -> 4 | f | {"(1,4)"}
+ 4 | 5 | arc 4 -> 5 | f | {"(1,4)","(4,5)"}
+ 5 | 1 | arc 5 -> 1 | f | {"(1,4)","(4,5)","(5,1)"}
+ 1 | 2 | arc 1 -> 2 | f | {"(1,4)","(4,5)","(5,1)","(1,2)"}
+ 2 | 3 | arc 2 -> 3 | f | {"(1,4)","(4,5)","(5,1)","(1,2)","(2,3)"}
+ 1 | 3 | arc 1 -> 3 | f | {"(1,4)","(4,5)","(5,1)","(1,3)"}
+ 1 | 4 | arc 1 -> 4 | t | {"(1,4)","(4,5)","(5,1)","(1,4)"}
+ 2 | 3 | arc 2 -> 3 | f | {"(2,3)"}
+ 4 | 5 | arc 4 -> 5 | f | {"(4,5)"}
+ 5 | 1 | arc 5 -> 1 | f | {"(4,5)","(5,1)"}
+ 1 | 2 | arc 1 -> 2 | f | {"(4,5)","(5,1)","(1,2)"}
+ 2 | 3 | arc 2 -> 3 | f | {"(4,5)","(5,1)","(1,2)","(2,3)"}
+ 1 | 3 | arc 1 -> 3 | f | {"(4,5)","(5,1)","(1,3)"}
+ 1 | 4 | arc 1 -> 4 | f | {"(4,5)","(5,1)","(1,4)"}
+ 4 | 5 | arc 4 -> 5 | t | {"(4,5)","(5,1)","(1,4)","(4,5)"}
+ 5 | 1 | arc 5 -> 1 | f | {"(5,1)"}
+ 1 | 2 | arc 1 -> 2 | f | {"(5,1)","(1,2)"}
+ 2 | 3 | arc 2 -> 3 | f | {"(5,1)","(1,2)","(2,3)"}
+ 1 | 3 | arc 1 -> 3 | f | {"(5,1)","(1,3)"}
+ 1 | 4 | arc 1 -> 4 | f | {"(5,1)","(1,4)"}
+ 4 | 5 | arc 4 -> 5 | f | {"(5,1)","(1,4)","(4,5)"}
+ 5 | 1 | arc 5 -> 1 | t | {"(5,1)","(1,4)","(4,5)","(5,1)"}
(25 rows)
--