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获取图形树中的 vdot

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获取图形树中的 vdot 
\documentclass[12pt]{article}
\usepackage{amsmath}
\usepackage{tikz}
\tikzstyle{vertex}=[auto=left,circle,fill=black!25,minimum size=20pt,inner sep=0pt]

\begin{document}    

\begin{tikzpicture}
      \node[vertex] (n1)  at (1,4)  {s};
      \node[vertex] (n2)  at (3,2)  {};
      \node[vertex] (n3)  at (3,3)  {};
      \node[vertex] (n4)  at (3,4)  {};
      \node[vertex] (n5)  at (3,6)  {};
      \node[vertex] (n6)  at (9,4)  {t};
      \node[vertex] (n7)  at (7,6)  {};
      \node[vertex] (n8)  at (7,4)  {};
      \node[vertex] (n9)  at (7,3)  {};
      \node[vertex] (n10) at (7,2)  {};

      \foreach \from/\to in {n1/n2,n1/n3,n1/n4,n1/n5,
                n6/n7,n6/n8,n6/n9,n6/n10}
      \draw[densely dotted] (\from) -- (\to);
      \foreach \from/\to in {n2/n10,n3/n9,n4/n8,n5/n7}
      \draw(\from) -- (\to);
      \end{tikzpicture}

\end{document}

我正在尝试在节点(n4,n5)和之间获取垂直点(n6,n7)。我尝试了很多方法，但仍然不行。

我也尝试向图中添加边权重。我不断找到以矩阵形式编写的链接。

我需要添加表示树上的左节点和右节点的文本。如何在树上的所需位置添加文本？

答案1

  1. 要放置任何字符，例如\dots，您可以使用\path并通过放置所需的字符node并使用sloped选项以便字符沿路径旋转：

    \path (n4) -- (n5) node [red, font=\Huge, midway, sloped] {$\dots$};
\path (n6) -- (n7) node [red, font=\Huge, midway, sloped] {$\dots$};

    如果您对这些不满意，可以添加小实心圆圈。

  2. left可以通过/选项添加和定位位于开始和结束处的节点，right以便将文本放置在节点特定点的左侧/右侧：

     \node [left ] at (n1.west) {start};
 \node [right] at (n6.east) {end};

  3. 要在每个边缘上方添加文本，您可以向循环添加另一个选项\foreach并通过节点放置文本：

    node [midway, above, orange] {$\weight$}

    在此处输入图片描述

代码：

\documentclass[border=2pt]{standalone}
\usepackage{tikz}

\tikzstyle{vertex}=[auto=left,circle,fill=black!25,minimum size=20pt,inner sep=0pt]

\begin{document}
\begin{tikzpicture}
  \node[vertex] (n1)  at (1,4)  {s};
  \node[vertex] (n2)  at (3,2)  {$n_2$};
  \node[vertex] (n3)  at (3,3)  {$n_3$};
  \node[vertex] (n4)  at (3,4)  {$n_4$};
  \node[vertex] (n5)  at (3,6)  {$n_5$};
  \node[vertex] (n6)  at (9,4)  {t};
  \node[vertex] (n7)  at (7,6)  {$n_7$};
  \node[vertex] (n8)  at (7,4)  {$n_8$};
  \node[vertex] (n9)  at (7,3)  {$n_9$};
  \node[vertex] (n10) at (7,2)  {$n_{10}$};

  \foreach \from/\to/\weight in {n1/n2/a, n1/n3/b, n1/n4/c, n1/n5/d,
            n6/n7/e, n6/n8/f, n6/n9/g, n6/n10/h}
  \draw[densely dotted] (\from) -- (\to) node [midway, above, orange] {$\weight$};
  \foreach \from/\to/\weight in {n2/n10/i, n3/n9/j, n4/n8/k, n5/n7/l}
  \draw(\from) -- (\to) node [midway, above, orange] {$\weight$};;

  % These are for dotted lines
  %\draw [red, dotted, ultra thick] (n4) -- (n5);
  %\draw [blue,dotted, ultra thick] (n6) -- (n7);

  \path (n4) -- (n5) node [red, font=\Huge, midway, sloped] {$\dots$};
  \path (n6) -- (n7) node [red, font=\Huge, midway, sloped] {$\dots$};

  \node [left , red] at (n1.west) {start};
  \node [right, red] at (n6.east) {end};
\end{tikzpicture}
\end{document}

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