pgr_edgeDisjointPaths
— Calculates edge disjoint paths between two groups of vertices.
Availability
Support
Calculates the edge disjoint paths between two groups of vertices. Utilizes underlying maximum flow algorithms to calculate the paths.
Summary
pgr_edgeDisjointPaths(Edges SQL, start_vid, end_vid)
pgr_edgeDisjointPaths(Edges SQL, start_vid, end_vid [, directed])
pgr_edgeDisjointPaths(Edges SQL, start_vid, end_vids [, directed])
pgr_edgeDisjointPaths(Edges SQL, start_vids, end_vid [, directed])
pgr_edgeDisjointPaths(Edges SQL, start_vids, end_vids [, directed])
RETURNS SET OF (seq, path_id, path_seq, [start_vid,] [end_vid,] node, edge, cost, agg_cost)
OR EMPTY SET
Using defaults
pgr_edgeDisjointPaths(Edges SQL, start_vid, end_vid)
RETURNS SET OF (seq, path_id, path_seq, node, edge, cost, agg_cost)
OR EMPTY SET
Example: | From vertex \(3\) to vertex \(5\) on a directed graph |
---|
SELECT * FROM pgr_edgeDisjointPaths(
'SELECT id, source, target, cost, reverse_cost FROM edge_table',
3, 5
);
seq | path_id | path_seq | node | edge | cost | agg_cost
-----+---------+----------+------+------+------+----------
1 | 1 | 1 | 3 | 2 | 1 | 0
2 | 1 | 2 | 2 | 4 | 1 | 1
3 | 1 | 3 | 5 | -1 | 0 | 2
4 | 2 | 1 | 3 | 5 | 1 | 0
5 | 2 | 2 | 6 | 8 | 1 | 1
6 | 2 | 3 | 5 | -1 | 0 | 2
(6 rows)
pgr_edgeDisjointPaths(Edges SQL, start_vid, end_vid, directed)
RETURNS SET OF (seq, path_id, path_seq, node, edge, cost, agg_cost)
OR EMPTY SET
Example: | From vertex \(3\) to vertex \(5\) on an undirected graph |
---|
SELECT * FROM pgr_edgeDisjointPaths(
'SELECT id, source, target, cost, reverse_cost FROM edge_table',
3, 5,
directed := false
);
seq | path_id | path_seq | node | edge | cost | agg_cost
-----+---------+----------+------+------+------+----------
1 | 1 | 1 | 3 | 2 | 1 | 0
2 | 1 | 2 | 2 | 4 | 1 | 1
3 | 1 | 3 | 5 | -1 | 0 | 2
4 | 2 | 1 | 3 | 3 | -1 | 0
5 | 2 | 2 | 4 | 16 | 1 | -1
6 | 2 | 3 | 9 | 9 | 1 | 0
7 | 2 | 4 | 6 | 8 | 1 | 1
8 | 2 | 5 | 5 | -1 | 0 | 2
9 | 3 | 1 | 3 | 5 | 1 | 0
10 | 3 | 2 | 6 | 11 | 1 | 1
11 | 3 | 3 | 11 | 12 | -1 | 2
12 | 3 | 4 | 10 | 10 | 1 | 1
13 | 3 | 5 | 5 | -1 | 0 | 2
(13 rows)
pgr_edgeDisjointPaths(Edges SQL, start_vid, end_vids, directed)
RETURNS SET OF (seq, path_id, path_seq, end_vid, node, edge, cost, agg_cost)
OR EMPTY SET
Example: | From vertex \(3\) to vertices \(\{4, 5, 10\}\) on a directed graph |
---|
SELECT * FROM pgr_edgeDisjointPaths(
'SELECT id, source, target, cost, reverse_cost FROM edge_table',
3, ARRAY[4, 5, 10]
);
seq | path_id | path_seq | end_vid | node | edge | cost | agg_cost
-----+---------+----------+---------+------+------+------+----------
1 | 1 | 1 | 4 | 3 | 5 | 1 | 0
2 | 1 | 2 | 4 | 6 | 9 | 1 | 1
3 | 1 | 3 | 4 | 9 | 16 | 1 | 2
4 | 1 | 4 | 4 | 4 | -1 | 0 | 3
5 | 2 | 1 | 5 | 3 | 2 | 1 | 0
6 | 2 | 2 | 5 | 2 | 4 | 1 | 1
7 | 2 | 3 | 5 | 5 | -1 | 0 | 2
8 | 3 | 1 | 5 | 3 | 5 | 1 | 0
9 | 3 | 2 | 5 | 6 | 8 | 1 | 1
10 | 3 | 3 | 5 | 5 | -1 | 0 | 2
11 | 4 | 1 | 10 | 3 | 2 | 1 | 0
12 | 4 | 2 | 10 | 2 | 4 | 1 | 1
13 | 4 | 3 | 10 | 5 | 10 | 1 | 2
14 | 4 | 4 | 10 | 10 | -1 | 0 | 3
(14 rows)
pgr_edgeDisjointPaths(Edges SQL, start_vids, end_vid, directed)
RETURNS SET OF (seq, path_id, path_seq, start_vid, node, edge, cost, agg_cost)
OR EMPTY SET
Example: | From vertices \(\{3, 6\}\) to vertex \(5\) on a directed graph |
---|
SELECT * FROM pgr_edgeDisjointPaths(
'SELECT id, source, target, cost, reverse_cost FROM edge_table',
ARRAY[3, 6], 5
);
seq | path_id | path_seq | start_vid | node | edge | cost | agg_cost
-----+---------+----------+-----------+------+------+------+----------
1 | 1 | 1 | 0 | 3 | 2 | 1 | 0
2 | 1 | 2 | 0 | 2 | 4 | 1 | 1
3 | 1 | 3 | 0 | 5 | -1 | 0 | 2
4 | 2 | 1 | 1 | 3 | 5 | 1 | 0
5 | 2 | 2 | 1 | 6 | 8 | 1 | 1
6 | 2 | 3 | 1 | 5 | -1 | 0 | 2
7 | 3 | 1 | 2 | 6 | 8 | 1 | 0
8 | 3 | 2 | 2 | 5 | -1 | 0 | 1
9 | 4 | 1 | 3 | 6 | 9 | 1 | 0
10 | 4 | 2 | 3 | 9 | 16 | 1 | 1
11 | 4 | 3 | 3 | 4 | 3 | 1 | 2
12 | 4 | 4 | 3 | 3 | 2 | 1 | 3
13 | 4 | 5 | 3 | 2 | 4 | 1 | 4
14 | 4 | 6 | 3 | 5 | -1 | 0 | 5
(14 rows)
pgr_edgeDisjointPaths(Edges SQL, start_vids, end_vids, directed)
RETURNS SET OF (seq, path_seq, start_vid, end_vid, node, edge, cost, agg_cost)
OR EMPTY SET
Example: | From vertices \(\{3, 6\}\) to vertices \(\{4, 5, 10\}\) on a directed graph |
---|
SELECT * FROM pgr_edgeDisjointPaths(
'SELECT id, source, target, cost, reverse_cost FROM edge_table',
ARRAY[3, 6], ARRAY[4, 5, 10]
);
seq | path_id | path_seq | start_vid | end_vid | node | edge | cost | agg_cost
-----+---------+----------+-----------+---------+------+------+------+----------
1 | 1 | 1 | 0 | 4 | 3 | 5 | 1 | 0
2 | 1 | 2 | 0 | 4 | 6 | 9 | 1 | 1
3 | 1 | 3 | 0 | 4 | 9 | 16 | 1 | 2
4 | 1 | 4 | 0 | 4 | 4 | -1 | 0 | 3
5 | 2 | 1 | 1 | 5 | 3 | 2 | 1 | 0
6 | 2 | 2 | 1 | 5 | 2 | 4 | 1 | 1
7 | 2 | 3 | 1 | 5 | 5 | -1 | 0 | 2
8 | 3 | 1 | 2 | 5 | 3 | 5 | 1 | 0
9 | 3 | 2 | 2 | 5 | 6 | 8 | 1 | 1
10 | 3 | 3 | 2 | 5 | 5 | -1 | 0 | 2
11 | 4 | 1 | 3 | 10 | 3 | 2 | 1 | 0
12 | 4 | 2 | 3 | 10 | 2 | 4 | 1 | 1
13 | 4 | 3 | 3 | 10 | 5 | 10 | 1 | 2
14 | 4 | 4 | 3 | 10 | 10 | -1 | 0 | 3
15 | 5 | 1 | 4 | 4 | 6 | 9 | 1 | 0
16 | 5 | 2 | 4 | 4 | 9 | 16 | 1 | 1
17 | 5 | 3 | 4 | 4 | 4 | -1 | 0 | 2
18 | 6 | 1 | 5 | 5 | 6 | 8 | 1 | 0
19 | 6 | 2 | 5 | 5 | 5 | -1 | 0 | 1
20 | 7 | 1 | 6 | 5 | 6 | 9 | 1 | 0
21 | 7 | 2 | 6 | 5 | 9 | 16 | 1 | 1
22 | 7 | 3 | 6 | 5 | 4 | 3 | 1 | 2
23 | 7 | 4 | 6 | 5 | 3 | 2 | 1 | 3
24 | 7 | 5 | 6 | 5 | 2 | 4 | 1 | 4
25 | 7 | 6 | 6 | 5 | 5 | -1 | 0 | 5
26 | 8 | 1 | 7 | 10 | 6 | 8 | 1 | 0
27 | 8 | 2 | 7 | 10 | 5 | 10 | 1 | 1
28 | 8 | 3 | 7 | 10 | 10 | -1 | 0 | 2
(28 rows)
Parameter | Type | Default | Description |
---|---|---|---|
edges_sql | TEXT |
Inner SQL query as described below. | |
start_vid | BIGINT |
Identifier of the starting vertex of the path. | |
start_vids | ARRAY[BIGINT] |
Array of identifiers of starting vertices. | |
end_vid | BIGINT |
Identifier of the ending vertex of the path. | |
end_vids | ARRAY[BIGINT] |
Array of identifiers of ending vertices. | |
directed | BOOLEAN |
true |
|
Column | Type | Default | Description |
---|---|---|---|
id | ANY-INTEGER |
Identifier of the edge. | |
source | ANY-INTEGER |
Identifier of the first end point vertex of the edge. | |
target | ANY-INTEGER |
Identifier of the second end point vertex of the edge. | |
cost | ANY-NUMERICAL |
Weight of the edge (source, target)
|
|
reverse_cost | ANY-NUMERICAL |
-1 | Weight of the edge (target, source),
|
Where:
ANY-INTEGER: | SMALLINT, INTEGER, BIGINT |
---|---|
ANY-NUMERICAL: | SMALLINT, INTEGER, BIGINT, REAL, FLOAT |
Returns set of (seq, path_id, path_seq [, start_vid] [, end_vid], node, edge, cost, agg_cost)
Column | Type | Description |
---|---|---|
seq | INT |
Sequential value starting from 1. |
path_id | INT |
Path identifier. Has value 1 for the first of a path. Used when there are multiple paths for the same start_vid to end_vid combination. |
path_seq | INT |
Relative position in the path. Has value 1 for the beginning of a path. |
start_vid | BIGINT |
Identifier of the starting vertex. Returned when multiple starting vetrices are in the query. |
end_vid | BIGINT |
Identifier of the ending vertex. Returned when multiple ending vertices are in the query. |
node | BIGINT |
Identifier of the node in the path from start_vid to end_vid . |
edge | BIGINT |
Identifier of the edge used to go from node to the next node in the path sequence. -1 for the last node of the path. |
cost | FLOAT |
Cost to traverse from node using edge to the next node in the path sequence. |
agg_cost | FLOAT |
Aggregate cost from start_v to node . |