Definition: A graph whose vertices and edges are subsets of another graph.

Formal Definition: A graph G'=(V', E') is a subgraph of another graph G=(V, E) iff

Note: In general, a subgraph need not have all possible edges. If a subgraph has every possible edge, it is an induced subgraph.

Authors: PEB,AL

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Entry modified 17 December 2004.
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Cite this as:
Paul E. Black and Alen Lovrencic, "subgraph", in Dictionary of Algorithms and Data Structures [online], Vreda Pieterse and Paul E. Black, eds. 17 December 2004. (accessed TODAY) Available from: