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In [[graph theory]], for a connected graph <math>G</math>, a [[spanning tree (mathematics)|spanning tree]] <math>T</math> is a subgraph of <math>G</math> with the least number of edges that still spans <math>G</math>. A number of properties can be proved about <math>T</math>. <math>T</math> is acyclic, has (<math>|V|-1</math>) edges where <math>V</math> is the number of vertices in <math>G</math> etc.  
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A '''minimum degree spanning tree''' <math>T'</math> is a spanning tree which has the least maximum degree. The vertex of maximum degree in <math>T'</math> is the least among all possible spanning trees of <math>G</math>.
 
See [[Degree-constrained_spanning_tree| Degree-Constrained Spanning Tree]].
 
{{Unreferenced|date=April 2009}}
 
[[Category:Spanning tree]]

Latest revision as of 18:18, 4 December 2014

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