(data structure)

Definition: A graph whose edges are unordered pairs of vertices, and the same pair of vertices can be connected by multiple edges.

Formal Definition: Same as graph, but E is a bag of edges, not a set.

Generalization (I am a kind of ...)

Aggregate parent (I am a part of or used in ...)
Christofides algorithm.

See also hypergraph.

Note: A definition of "pseudograph" is a multigraph that may have self-loops.

Author: PEB

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Entry modified 2 February 2006.
HTML page formatted Mon Nov 18 10:44:10 2013.

Cite this as:
Paul E. Black, "multigraph", in Dictionary of Algorithms and Data Structures [online], Vreda Pieterse and Paul E. Black, eds. 2 February 2006. (accessed TODAY) Available from: