OQGRAPH Examples
Contents
Creating a Table with origid, destid Only
CREATE TABLE oq_backing ( origid INT UNSIGNED NOT NULL, destid INT UNSIGNED NOT NULL, PRIMARY KEY (origid, destid), KEY (destid) );
Some data can be inserted into the backing table to test with later:
INSERT INTO oq_backing(origid, destid) VALUES (1,2), (2,3), (3,4), (4,5), (2,6), (5,6);
Now the read-only OQGRAPH table is created. The CREATE statement must match the format below - any difference will result in an error.
CREATE TABLE oq_graph ( latch VARCHAR(32) NULL, origid BIGINT UNSIGNED NULL, destid BIGINT UNSIGNED NULL, weight DOUBLE NULL, seq BIGINT UNSIGNED NULL, linkid BIGINT UNSIGNED NULL, KEY (latch, origid, destid) USING HASH, KEY (latch, destid, origid) USING HASH ) ENGINE=OQGRAPH data_table='oq_backing' origid='origid' destid='destid';
From MariaDB 10.1.2 onwards you can alternatively use a shorter syntax:
CREATE TABLE oq_graph ENGINE=OQGRAPH data_table='oq_backing' origid='origid' destid='destid';
Creating a Table with Weight
For the examples on this page, we'll create a second OQGRAPH table and backing table, this time with weight
as well.
CREATE TABLE oq2_backing ( origid INT UNSIGNED NOT NULL, destid INT UNSIGNED NOT NULL, weight DOUBLE NOT NULL, PRIMARY KEY (origid, destid), KEY (destid) );
INSERT INTO oq2_backing(origid, destid, weight) VALUES (1,2,1), (2,3,1), (3,4,3), (4,5,1), (2,6,10), (5,6,2);
CREATE TABLE oq2_graph ( latch VARCHAR(32) NULL, origid BIGINT UNSIGNED NULL, destid BIGINT UNSIGNED NULL, weight DOUBLE NULL, seq BIGINT UNSIGNED NULL, linkid BIGINT UNSIGNED NULL, KEY (latch, origid, destid) USING HASH, KEY (latch, destid, origid) USING HASH ) ENGINE=OQGRAPH data_table='oq2_backing' origid='origid' destid='destid' weight='weight';
Shortest Path
A latch
value of 'dijkstras'
and an origid
and destid
is used for finding the shortest path between two nodes, for example:
SELECT * FROM oq_graph WHERE latch='breadth_first' AND origid=1 AND destid=6; +----------+--------+--------+--------+------+--------+ | latch | origid | destid | weight | seq | linkid | +----------+--------+--------+--------+------+--------+ | dijkstras| 1 | 6 | NULL | 0 | 1 | | dijkstras| 1 | 6 | 1 | 1 | 2 | | dijkstras| 1 | 6 | 1 | 2 | 6 | +----------+--------+--------+--------+------+--------+
Note that nodes are uni-directional, so there is no path from node 6 to node 1:
SELECT * FROM oq_graph WHERE latch='dijkstras' AND origid=6 AND destid=1; Empty set (0.00 sec)
Using the GROUP_CONCAT function can produce more readable results, for example:
SELECT GROUP_CONCAT(linkid ORDER BY seq) AS path FROM oq_graph WHERE latch='dijkstras' AND origid=1 AND destid=6; +-------+ | path | +-------+ | 1,2,6 | +-------+
Using the table oq2_graph
, the shortest path is different:
SELECT GROUP_CONCAT(linkid ORDER BY seq) AS path FROM oq2_graph WHERE latch='dijkstras' AND origid=1 AND destid=6; +-------------+ | path | +-------------+ | 1,2,3,4,5,6 | +-------------+
The reason is the weight between nodes 2 and 6 is 10
in oq_graph2
, so the shortest path taking into account weight
is now across more nodes.
Possible Destinations
SELECT GROUP_CONCAT(linkid) AS dests FROM oq_graph WHERE latch='dijkstras' AND origid=2; +-----------+ | dests | +-----------+ | 5,4,6,3,2 | +-----------+
Note that this returns all possible destinations along the path, not just immediate links.
Leaf nodes
A latch
value of 'leaves'
and either origid
or destid
is used for finding leaf nodes at the beginning or end of a graph.
INSERT INTO oq_backing(origid, destid) VALUES (1,2), (2,3), (3,5), (4,5), (5,6), (6,7), (6,8), (2,8);
For example, to find all reachable nodes from origid
that only have incoming edges:
SELECT * FROM oq_graph WHERE latch='leaves' AND origid=2; +--------+--------+--------+--------+------+--------+ | latch | origid | destid | weight | seq | linkid | +--------+--------+--------+--------+------+--------+ | leaves | 2 | NULL | 4 | 2 | 7 | | leaves | 2 | NULL | 1 | 1 | 8 | +--------+--------+--------+--------+------+--------+
And to find all nodes from which a path can be found to destid
that only have outgoing edges:
SELECT * FROM oq_graph WHERE latch='leaves' AND destid=5; +--------+--------+--------+--------+------+--------+ | latch | origid | destid | weight | seq | linkid | +--------+--------+--------+--------+------+--------+ | leaves | NULL | 5 | 3 | 2 | 1 | | leaves | NULL | 5 | 1 | 1 | 4 | +--------+--------+--------+--------+------+--------+
Summary of Implemented Latch Commands
Latch | Alternative | additional where clause fields | Graph operation |
---|---|---|---|
NULL | (unspecified) | (none) | List original data |
(empty string) | 0 | (none extra) | List all vertices in linkid column |
(empty string) | 0 | origid | List all first hop vertices from origid in linkid column |
dijkstras | 1 | origid, destid | Find shortest path using Dijkstras algorithm between origid and destid, with traversed vertex ids in linkid column |
dijkstras | 1 | origid | Find all vertices reachable from origid, listed in linkid column, and report sum of weights of vertices on path to given vertex in weight |
dijkstras | 1 | destid | Find all vertices from which a path can be found to destid, listed in linkid column, and report sum of weights of vertices on path to given vertex in weight |
breadth_first | 2 | origid | List vertices reachable from origid in linkid column |
breadth_first | 2 | destid | List vertices from which a path can be found to destid in linkid column |
breadth_first | 2 | origid, destid | Find shortest path between origid and destid, report in linkid column |
leaves | 4 | origid | List vertices reachable from origid, that only have incoming edges |
leaves | 4 | destid | List vertices from which a path can be found to destid, that only have outgoing edges |
leaves | 4 | origid, destid | Not supported, will return an empty result |
Note: the use of integer latch commands is deprecated and may be phased out in a future release. Currently, numeric values in the strings are interpeted as aliases, and use of an integer column can be optionally allowed, for the latch commands column.
The use of integer latches is controlled using the oqgraph_allow_create_integer_latch system variable.