Math 2.0

Concept

Spanning

Summary

A subgraph is spanning when it includes all of the vertices of the given graph. Important cases include spanning trees (spanning subgraphs that are trees) and perfect matchings (spanning subgraphs that are matchings). A spanning subgraph may also be called a factor, especially (but not only) when it is regular.

Further reading

  1. Wikipedia, page 325802, revision 1373839425, Glossary of graph theory, section S. adopted
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Aliasesspanning-subgraph
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WritingW1 stated
Changed4 November 2026

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