pgr_biconnectedComponents

pgr_biconnectedComponents — Biconnected components of an undirected graph.

_images/boost-inside.jpeg

Boost Graph Inside

Availability

  • Version 3.0.0

    • Result columns change:

      • n_seq is removed

      • seq changed type to BIGINT

    • Official function

  • Version 2.5.0

    • New experimental function

Description

The biconnected components of an undirected graph are the maximal subsets of vertices such that the removal of a vertex from particular component will not disconnect the component. Unlike connected components, vertices may belong to multiple biconnected components. Vertices can be present in multiple biconnected components, but each edge can only be contained in a single biconnected component.

The main characteristics are:

  • Works for undirected graphs.

  • Components are described by edges.

  • The returned values are ordered:

    • component ascending.

    • edge ascending.

  • Running time: \(O(V + E)\)

Signatures

pgr_biconnectedComponents(Edges SQL)
Returns set of (seq, component, edge)
OR EMPTY SET
Example:

The biconnected components of the graph

SELECT * FROM pgr_biconnectedComponents(
  'SELECT id, source, target, cost, reverse_cost FROM edges'
);
 seq | component | edge
-----+-----------+------
   1 |         1 |    1
   2 |         2 |    2
   3 |         2 |    3
   4 |         2 |    4
   5 |         2 |    5
   6 |         2 |    8
   7 |         2 |    9
   8 |         2 |   10
   9 |         2 |   11
  10 |         2 |   12
  11 |         2 |   13
  12 |         2 |   15
  13 |         2 |   16
  14 |         6 |    6
  15 |         7 |    7
  16 |        14 |   14
  17 |        17 |   17
  18 |        18 |   18
(18 rows)

_images/bcc_sampledata.png

Parameters

Parameter

Type

Description

Edges SQL

TEXT

Edges SQL as described below.

Inner Queries

Edges SQL

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)

  • When negative: edge (target, source) does not exist, therefore it’s not part of the graph.

Where:

ANY-INTEGER:

SMALLINT, INTEGER, BIGINT

ANY-NUMERICAL:

SMALLINT, INTEGER, BIGINT, REAL, FLOAT

Result columns

Returns set of (seq, component, edge)

Column

Type

Description

seq

BIGINT

Sequential value starting from 1.

component

BIGINT

Component identifier.

  • Has the value of the minimum edge identifier in the component.

edge

BIGINT

Identifier of the edge that belongs to the component.

See Also

Indices and tables