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Let <math>G(V,E)</math> be a [[graph (mathematics)|graph]] and <math>M</math> a [[Matching (graph theory)|matching]] in <math>G</math>. A vertex <math>v\in V(G)</math> is said to be '''saturated''' by <math>M</math> if there is an edge in <math>M</math> incident to <math>v</math>. A vertex <math>v\in V(G)</math> with no such edge is said to be '''unsaturated''' by <math>M</math>. We also say that <math>M</math> '''saturates''' <math>v</math>.<ref>[http://planetmath.org/?op=getobj&from=objects&id=4735 Saturate]. [[PlanetMath]].</ref>
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==See also==
* [[Hall's marriage theorem]]
* [[Bipartite matching]]
 
==References==
{{reflist}}
 
 
[[Category:Matching]]

Latest revision as of 07:12, 11 December 2014

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