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来自「浙江大学计算机学院数据结构课程的教学课件」· HTM 代码 · 共 44 行
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<b><font face="Arial, Helvetica, sans-serif" size="4" color="#FF0000">property1 :</font><font face="Arial, Helvetica, sans-serif" size="4" color="#000000">
If a nontree edge, (v,w) is added into any spanning tree, T,
the result is a cycle that consists of the edge (v,w) and all the
edge on the path from w to v in T.
[<i><font color="#FF0000"> use</font><font color="#0033CC" face="Arial, Helvetica, sans-serif" size="4"></font><font color="#0033CC">: obtain an independent set of circuit equation for an
electrical network ]
</font></i>
<font color="#FF0000">property2 :</font>
A spanning tree is a minimal subgraph, G', of G such that
V(G') = V(G) and G' is connect.
<font color="#FF0000">minimal subgraph</font> -- subgraph with the fewest number of edges.
any connected graph with n vertices must have at least n-1
edges, and all connected graphs with n-1 edges are trees.
therefore a spanning tree has n-1 edges.
[<font color="#FF0000"><i>use:</i></font><i><font color="#0033CC" face="Arial, Helvetica, sans-serif" size="4"></font><font color="#0033CC"> design of communication networks , some time we assign
weights to the edges for representing the cost of constructing
the communication link or the length of the link]
</font></i></font></b></pre>
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