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📁 C#与数据结构--二叉树的遍历 ,来源网上收集
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lang=EN-US>6</SPAN><SPAN 
style="FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">种：<BR><IMG 
alt="" src="C#与数据结构--二叉树的遍历 - abatei - 博客园.files/6-12.jpg" border=0><BR>&nbsp; 
</P>
<P class=MsoNormal style="TEXT-INDENT: 21pt; mso-char-indent-count: 2.0"><SPAN 
style="FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 
先左后右</SPAN><SPAN lang=EN-US><SPAN style="mso-spacerun: yes">&nbsp;&nbsp; 
</SPAN></SPAN><SPAN 
style="FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">先右后左</SPAN></P>
<P class=MsoNormal style="TEXT-INDENT: 21pt; mso-char-indent-count: 2.0"><SPAN 
style="FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">先序</SPAN><SPAN 
lang=EN-US><SPAN style="mso-spacerun: yes">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 
</SPAN>DLR<SPAN style="mso-spacerun: yes">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 
</SPAN>DRL</SPAN></P>
<P class=MsoNormal style="TEXT-INDENT: 21pt; mso-char-indent-count: 2.0"><SPAN 
style="FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">中序</SPAN><SPAN 
lang=EN-US><SPAN style="mso-spacerun: yes">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 
</SPAN>LDR<SPAN style="mso-spacerun: yes">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 
</SPAN>RDL</SPAN></P>
<P class=MsoNormal style="TEXT-INDENT: 21pt; mso-char-indent-count: 2.0"><SPAN 
style="FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">后序</SPAN><SPAN 
lang=EN-US><SPAN style="mso-spacerun: yes">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 
</SPAN>LRD<SPAN style="mso-spacerun: yes">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 
</SPAN>RLD</SPAN></P>
<P class=MsoNormal style="TEXT-INDENT: 21pt; mso-char-indent-count: 2.0"><SPAN 
style="FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">这里只讨论先左后右的三种遍历算法。<BR>&nbsp; 
</P>
<P class=MsoNormal style="TEXT-INDENT: 21pt; mso-char-indent-count: 2.0"><SPAN 
style="FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">如图</SPAN><SPAN 
lang=EN-US>6.13</SPAN><SPAN 
style="FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">所示，在沿着箭头方向所指的路径对二叉树进行遍历时，每个节点会在这条搜索路径上会出现三次，而访问操作只能进行一次，这时就需要决定在搜索路径上第几次出现的结点进行访问操作，由此就引出了三种不同的遍历算法。</SPAN></P><BR><IMG 
alt="" src="C#与数据结构--二叉树的遍历 - abatei - 博客园.files/6-13.jpg" border=0><BR>&nbsp; 
<P class=MsoNormal 
style="MARGIN-LEFT: 42pt; TEXT-INDENT: -21pt; mso-list: l1 level1 lfo2; tab-stops: list 42.0pt"><STRONG 
style="mso-bidi-font-weight: normal"><SPAN lang=EN-US 
style="FONT-FAMILY: 楷体_GB2312; mso-hansi-font-family: 华文楷体; mso-bidi-font-family: 楷体_GB2312"><SPAN 
style="mso-list: Ignore">1.<SPAN 
style="FONT: 7pt 'Times New Roman'">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 
</SPAN></SPAN></SPAN></STRONG><STRONG style="mso-bidi-font-weight: normal"><SPAN 
style="FONT-FAMILY: 楷体_GB2312; mso-hansi-font-family: 华文楷体">先序遍历<SPAN 
lang=EN-US><O:P></O:P></SPAN></SPAN></STRONG></P>
<P class=MsoNormal style="TEXT-INDENT: 21pt; mso-char-indent-count: 2.0"><SPAN 
style="FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">若二叉树为非空，则过程为：</SPAN></P>
<P class=MsoNormal 
style="MARGIN-LEFT: 54pt; TEXT-INDENT: -27pt; mso-list: l0 level2 lfo1; tab-stops: list 54.0pt"><SPAN 
lang=EN-US style="mso-bidi-font-family: 宋体"><SPAN 
style="mso-list: Ignore">（1）<SPAN style="FONT: 7pt 'Times New Roman'"> 
</SPAN></SPAN></SPAN><SPAN 
style="FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">访问根节点。</SPAN></P>
<P class=MsoNormal 
style="MARGIN-LEFT: 54pt; TEXT-INDENT: -27pt; mso-list: l0 level2 lfo1; tab-stops: list 54.0pt"><SPAN 
lang=EN-US style="mso-bidi-font-family: 宋体"><SPAN 
style="mso-list: Ignore">（2）<SPAN style="FONT: 7pt 'Times New Roman'"> 
</SPAN></SPAN></SPAN><SPAN 
style="FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">先序遍历左子树。</SPAN></P>
<P class=MsoNormal 
style="MARGIN-LEFT: 54pt; TEXT-INDENT: -27pt; mso-list: l0 level2 lfo1; tab-stops: list 54.0pt"><SPAN 
lang=EN-US style="mso-bidi-font-family: 宋体"><SPAN 
style="mso-list: Ignore">（3）<SPAN style="FONT: 7pt 'Times New Roman'"> 
</SPAN></SPAN></SPAN><SPAN 
style="FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">先序遍历右子树。</SPAN></P>
<P class=MsoNormal style="TEXT-INDENT: 21pt; mso-char-indent-count: 2.0"><SPAN 
style="FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">图</SPAN><SPAN 
lang=EN-US>6.13</SPAN><SPAN 
style="FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">中，先序遍历就是把标号为</SPAN><SPAN 
lang=EN-US>(1)</SPAN><SPAN 
style="FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">的结点按搜索路径访问的先后次序连接起来，得出结果为：</SPAN><SPAN 
lang=EN-US>ABDECF</SPAN><SPAN 
style="FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">。</SPAN></P>
<P class=MsoNormal 
style="MARGIN-LEFT: 42pt; TEXT-INDENT: -21pt; mso-list: l1 level1 lfo2; tab-stops: list 42.0pt"><STRONG 
style="mso-bidi-font-weight: normal"><SPAN lang=EN-US 
style="FONT-FAMILY: 楷体_GB2312; mso-hansi-font-family: 华文楷体; mso-bidi-font-family: 楷体_GB2312"><SPAN 
style="mso-list: Ignore">2.<SPAN 
style="FONT: 7pt 'Times New Roman'">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 
</SPAN></SPAN></SPAN></STRONG><STRONG style="mso-bidi-font-weight: normal"><SPAN 
style="FONT-FAMILY: 楷体_GB2312; mso-hansi-font-family: 华文楷体">中序遍历<SPAN 
lang=EN-US><O:P></O:P></SPAN></SPAN></STRONG></P>
<P class=MsoNormal style="TEXT-INDENT: 21pt; mso-char-indent-count: 2.0"><SPAN 
style="FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">若二叉树为非空，则过程为：</SPAN></P>
<P class=MsoNormal 
style="MARGIN-LEFT: 54pt; TEXT-INDENT: -27pt; mso-list: l1 level2 lfo2; tab-stops: list 54.0pt"><SPAN 
lang=EN-US style="mso-bidi-font-family: 宋体"><SPAN 
style="mso-list: Ignore">（1）<SPAN style="FONT: 7pt 'Times New Roman'"> 
</SPAN></SPAN></SPAN><SPAN 
style="FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">按中序遍历左子树。</SPAN></P>
<P class=MsoNormal 
style="MARGIN-LEFT: 54pt; TEXT-INDENT: -27pt; mso-list: l1 level2 lfo2; tab-stops: list 54.0pt"><SPAN 
lang=EN-US style="mso-bidi-font-family: 宋体"><SPAN 
style="mso-list: Ignore">（2）<SPAN style="FONT: 7pt 'Times New Roman'"> 
</SPAN></SPAN></SPAN><SPAN 
style="FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">访问根结点。</SPAN></P>
<P class=MsoNormal 
style="MARGIN-LEFT: 54pt; TEXT-INDENT: -27pt; mso-list: l1 level2 lfo2; tab-stops: list 54.0pt"><SPAN 
lang=EN-US style="mso-bidi-font-family: 宋体"><SPAN 
style="mso-list: Ignore">（3）<SPAN style="FONT: 7pt 'Times New Roman'"> 
</SPAN></SPAN></SPAN><SPAN 
style="FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">按中序遍历右子树。</SPAN></P>
<P class=MsoNormal style="TEXT-INDENT: 21pt; mso-char-indent-count: 2.0"><SPAN 
style="FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">图</SPAN><SPAN 
lang=EN-US>6.13</SPAN><SPAN 
style="FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">中，先序遍历就是把标号为</SPAN><SPAN 
lang=EN-US>(2)</SPAN><SPAN 
style="FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">的结点按搜索路径访问的先后次序连接起来，得出结果为：</SPAN><SPAN 
lang=EN-US>DBEACF</SPAN><SPAN 
style="FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">。</SPAN></P>
<P class=MsoNormal 
style="MARGIN-LEFT: 42pt; TEXT-INDENT: -21pt; mso-list: l1 level1 lfo2; tab-stops: list 42.0pt"><STRONG 
style="mso-bidi-font-weight: normal"><SPAN lang=EN-US 
style="FONT-FAMILY: 楷体_GB2312; mso-hansi-font-family: 华文楷体; mso-bidi-font-family: 楷体_GB2312"><SPAN 
style="mso-list: Ignore">3.<SPAN 
style="FONT: 7pt 'Times New Roman'">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 
</SPAN></SPAN></SPAN></STRONG><STRONG style="mso-bidi-font-weight: normal"><SPAN 
style="FONT-FAMILY: 楷体_GB2312; mso-hansi-font-family: 华文楷体">后序遍历<SPAN 
lang=EN-US><O:P></O:P></SPAN></SPAN></STRONG></P>
<P class=MsoNormal style="TEXT-INDENT: 21pt; mso-char-indent-count: 2.0"><SPAN 
style="FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">若二叉树为非空，则过程为：</SPAN></P>
<P class=MsoNormal 
style="MARGIN-LEFT: 54pt; TEXT-INDENT: -27pt; mso-list: l1 level2 lfo2; tab-stops: list 54.0pt"><SPAN 
lang=EN-US style="mso-bidi-font-family: 宋体"><SPAN 
style="mso-list: Ignore">（1）<SPAN style="FONT: 7pt 'Times New Roman'"> 
</SPAN></SPAN></SPAN><SPAN 
style="FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">按后序遍历左子树。</SPAN></P>
<P class=MsoNormal 
style="MARGIN-LEFT: 54pt; TEXT-INDENT: -27pt; mso-list: l1 level2 lfo2; tab-stops: list 54.0pt"><SPAN 
lang=EN-US style="mso-bidi-font-family: 宋体"><SPAN 
style="mso-list: Ignore">（2）<SPAN style="FONT: 7pt 'Times New Roman'"> 
</SPAN></SPAN></SPAN><SPAN 
style="FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">按后序遍历右子树</SPAN></P>
<P class=MsoNormal 
style="MARGIN-LEFT: 54pt; TEXT-INDENT: -27pt; mso-list: l1 level2 lfo2; tab-stops: list 54.0pt"><SPAN 
lang=EN-US style="mso-bidi-font-family: 宋体"><SPAN 
style="mso-list: Ignore">（3）<SPAN style="FONT: 7pt 'Times New Roman'"> 
</SPAN></SPAN></SPAN><SPAN 
style="FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">访问根结点。</SPAN></P>
<P class=MsoNormal style="TEXT-INDENT: 21pt; mso-char-indent-count: 2.0"><SPAN 
style="FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">图</SPAN><SPAN 
lang=EN-US>6.13</SPAN><SPAN 
style="FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">中，先序遍历就是把标号为</SPAN><SPAN 
lang=EN-US>(3)</SPAN><SPAN 
style="FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">的结点按搜索路径访问的先后次序连接起来，得出结果为：</SPAN><SPAN 
lang=EN-US>DEBFCA</SPAN><SPAN 
style="FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">。</SPAN></P>
<P class=MsoNormal><SPAN 
style="FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">【例</SPAN><SPAN 
lang=EN-US>6-1<SPAN style="mso-spacerun: yes">&nbsp; 
</SPAN>BinaryTreeNode.cs</SPAN><SPAN 
style="FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">】二叉树结点类</SPAN></P><BR>
<DIV 
style="BORDER-RIGHT: #cccccc 1px solid; PADDING-RIGHT: 5px; BORDER-TOP: #cccccc 1px solid; PADDING-LEFT: 4px; FONT-SIZE: 13px; PADDING-BOTTOM: 4px; BORDER-LEFT: #cccccc 1px solid; WIDTH: 98%; WORD-BREAK: break-all; PADDING-TOP: 4px; BORDER-BOTTOM: #cccccc 1px solid; BACKGROUND-COLOR: #eeeeee"><SPAN 
style="COLOR: #008080">&nbsp;1</SPAN>&nbsp;<SPAN 
style="COLOR: #0000ff">using</SPAN><SPAN 
style="COLOR: #000000">&nbsp;System;<BR></SPAN><SPAN 
style="COLOR: #008080">&nbsp;2</SPAN>&nbsp;<SPAN 
style="COLOR: #0000ff">public</SPAN><SPAN 
style="COLOR: #000000">&nbsp;</SPAN><SPAN 
style="COLOR: #0000ff">class</SPAN><SPAN 
style="COLOR: #000000">&nbsp;Node<BR></SPAN><SPAN 
style="COLOR: #008080">&nbsp;3</SPAN>&nbsp;<SPAN 
style="COLOR: #000000">{<BR></SPAN><SPAN 
style="COLOR: #008080">&nbsp;4</SPAN>&nbsp;<SPAN 
style="COLOR: #000000">&nbsp;&nbsp;&nbsp;&nbsp;</SPAN><SPAN 
style="COLOR: #008000">//</SPAN><SPAN style="COLOR: #008000">成员变量</SPAN><SPAN 
style="COLOR: #008000"><BR></SPAN><SPAN 
style="COLOR: #008080">&nbsp;5</SPAN>&nbsp;<SPAN 
style="COLOR: #000000">&nbsp;&nbsp;&nbsp;&nbsp;</SPAN><SPAN 
style="COLOR: #0000ff">private</SPAN><SPAN 
style="COLOR: #000000">&nbsp;</SPAN><SPAN 
style="COLOR: #0000ff">object</SPAN><SPAN 
style="COLOR: #000000">&nbsp;_data;&nbsp;</SPAN><SPAN 
style="COLOR: #008000">//</SPAN><SPAN style="COLOR: #008000">数据</SPAN><SPAN 
style="COLOR: #008000"><BR></SPAN><SPAN 
style="COLOR: #008080">&nbsp;6</SPAN>&nbsp;<SPAN 
style="COLOR: #000000">&nbsp;&nbsp;&nbsp;&nbsp;</SPAN><SPAN 
style="COLOR: #0000ff">private</SPAN><SPAN 
style="COLOR: #000000">&nbsp;Node&nbsp;_left;&nbsp;</SPAN><SPAN 
style="COLOR: #008000">//</SPAN><SPAN style="COLOR: #008000">左孩子</SPAN><SPAN 
style="COLOR: #008000"><BR></SPAN><SPAN 
style="COLOR: #008080">&nbsp;7</SPAN>&nbsp;<SPAN 
style="COLOR: #000000">&nbsp;&nbsp;&nbsp;&nbsp;</SPAN><SPAN 
style="COLOR: #0000ff">private</SPAN><SPAN 
style="COLOR: #000000">&nbsp;Node&nbsp;_right;&nbsp;</SPAN><SPAN 
style="COLOR: #008000">//</SPAN><SPAN style="COLOR: #008000">右孩子</SPAN><SPAN 
style="COLOR: #008000"><BR></SPAN><SPAN 
style="COLOR: #008080">&nbsp;8</SPAN>&nbsp;<SPAN 
style="COLOR: #000000">&nbsp;&nbsp;&nbsp;&nbsp;</SPAN><SPAN 
style="COLOR: #0000ff">public</SPAN><SPAN 
style="COLOR: #000000">&nbsp;</SPAN><SPAN 
style="COLOR: #0000ff">object</SPAN><SPAN 
style="COLOR: #000000">&nbsp;Data<BR></SPAN><SPAN 
style="COLOR: #008080">&nbsp;9</SPAN>&nbsp;<SPAN 
style="COLOR: #000000">&nbsp;&nbsp;&nbsp;&nbsp;{<BR></SPAN><SPAN 
style="COLOR: #008080">10</SPAN>&nbsp;<SPAN 
style="COLOR: #000000">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</SPAN><SPAN 
style="COLOR: #0000ff">get</SPAN><SPAN 
style="COLOR: #000000">&nbsp;{&nbsp;</SPAN><SPAN
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