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		<summary type="html">&lt;p&gt;192.86.100.203: /* Formulas */&lt;/p&gt;
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&lt;div&gt;In [[graph theory]], for a connected graph &amp;lt;math&amp;gt;G&amp;lt;/math&amp;gt;, a [[spanning tree (mathematics)|spanning tree]] &amp;lt;math&amp;gt;T&amp;lt;/math&amp;gt; is a subgraph of &amp;lt;math&amp;gt;G&amp;lt;/math&amp;gt; with the least number of edges that still spans &amp;lt;math&amp;gt;G&amp;lt;/math&amp;gt;. A number of properties can be proved about &amp;lt;math&amp;gt;T&amp;lt;/math&amp;gt;. &amp;lt;math&amp;gt;T&amp;lt;/math&amp;gt; is acyclic, has (&amp;lt;math&amp;gt;|V|-1&amp;lt;/math&amp;gt;) edges where &amp;lt;math&amp;gt;V&amp;lt;/math&amp;gt; is the number of vertices in &amp;lt;math&amp;gt;G&amp;lt;/math&amp;gt; etc. &lt;br /&gt;
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A &#039;&#039;&#039;minimum degree spanning tree&#039;&#039;&#039; &amp;lt;math&amp;gt;T&#039;&amp;lt;/math&amp;gt; is a spanning tree which has the least maximum degree. The vertex of maximum degree in &amp;lt;math&amp;gt;T&#039;&amp;lt;/math&amp;gt; is the least among all possible spanning trees of &amp;lt;math&amp;gt;G&amp;lt;/math&amp;gt;.&lt;br /&gt;
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See [[Degree-constrained_spanning_tree| Degree-Constrained Spanning Tree]].&lt;br /&gt;
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{{Unreferenced|date=April 2009}}&lt;br /&gt;
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[[Category:Spanning tree]]&lt;/div&gt;</summary>
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