我试图展示当某些节点被移除时立方体结构的演变。这是我的初始图表:
\documentclass[12pt,tikz]{standalone}
% AMS Math Packages
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{amsthm}
\usepackage{mathtools}
% Font Settings
\usepackage[T1]{fontenc}
\usepackage{stix}
\usepackage[english]{babel}
\usepackage[kerning,spacing,babel,final]{microtype}
\usepackage{tikz}
\usetikzlibrary{arrows,positioning,matrix}
\tikzset{
>=stealth,
auto,
font=\scriptsize,
point/.style={circle,draw,very thick,align=center,
anchor=center},
Point/.style={double,circle,draw,very thick,align=center,
anchor=center},
transform shape,
}
\begin{document}
\begin{tikzpicture}
\centering
\matrix (m) [matrix of nodes, row sep=0.5cm,column sep=1.25cm] {
&
\node (1) [point] {$110$};
& &
\node (2) [point] {$010$}; \\
\node (3) [Point] {$111$};
& &
\node (4) [point] {$011$};
& \\ &
\node (5) [point] {$100$};
& &
\node (6) [point] {$000$}; \\
\node (7) [point] {$101$};
& &
\node (8) [point] {$001$};
& \\
};
\path[solid]
(1) edge [loop above,very thick] (1)
(2) edge [loop above,very thick] (2)
(3) edge [loop above,very thick] (3)
(4) edge [loop above,very thick] (4)
(5) edge [loop below,very thick] (5)
(6) edge [loop below,very thick] (6)
(7) edge [loop below,very thick] (7)
(8) edge [loop below,very thick] (8)
(1) [<->,very thick] edge node[above right, pos=0.75,
minimum size=0pt] {$A$} (2)
(1) [<->,very thick] edge node[above, minimum size=0pt] {$C$} (3)
(2) [<->,very thick] edge node[above, minimum size=0pt] {$C$} (4)
(2) [<->,very thick] edge node[above left, pos=0.4,
minimum size=0pt] {$B$} (6)
(3) [<->,very thick] edge node[above right, pos=0.75,
minimum size=0pt] {$A$} (4)
(3) [<->,very thick] edge node[above left, pos=0.4,
minimum size=0pt] {$B$} (7)
(4) [<->,very thick] edge node[above left, pos=0.4,
minimum size=0pt] {$B$} (8)
(6) [<->,very thick] edge node[above, minimum size=0pt] {$C$} (8)
(7) [<->,very thick] edge node[above right, pos=0.75,
minimum size=0pt] {$A$} (8)
;
\path[dotted]
(1) [<->,very thick] edge node[above left, pos=0.4,
minimum size=0pt] {$B$} (5)
(5) [<->,very thick] edge node[above right, pos=0.75,
minimum size=0pt] {$A$} (6)
(5) [<->,very thick] edge node[above, minimum size=0pt] {$C$} (7)
;
\end{tikzpicture}
\end{document}
这给了我以下图像:
现在,我使用它作为模板,并从本质上删除了节点:2、5、6 和 8(以及它们各自的边):
\documentclass[12pt,tikz]{standalone}
% AMS Math Packages
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{amsthm}
\usepackage{mathtools}
% Font Settings
\usepackage[T1]{fontenc}
\usepackage{stix}
\usepackage[english]{babel}
\usepackage[kerning,spacing,babel,final]{microtype}
\usepackage{tikz}
\usetikzlibrary{arrows,positioning,matrix}
\tikzset{
>=stealth,
auto,
font=\scriptsize,
point/.style={circle,draw,very thick,align=center,
anchor=center},
Point/.style={double,circle,draw,very thick,align=center,
anchor=center},
transform shape,
}
\begin{document}
\begin{tikzpicture}
\centering
\matrix (m) [matrix of nodes, row sep=0.5cm,column sep=1.25cm] {
&
\node (1) [point] {$110$};
& & & \\
%\node (2) [point] {$010$}; \\
\node (3) [Point] {$111$};
& &
\node (4) [point] {$011$};
& \\ &
% \node (5) [point] {$100$};
& & & & \\
%\node (6) [point] {$000$}; \\
\node (7) [point] {$101$};
& &
%\node (8) [point] {$001$};
& & \\
};
\path[solid]
(1) edge [loop above,very thick] (1)
%(2) edge [loop above,very thick] (2)
(3) edge [loop above,very thick] (3)
(4) edge [loop above,very thick] (4)
%(5) edge [loop below,very thick] (5)
%(6) edge [loop below,very thick] (6)
(7) edge [loop below,very thick] (7)
%(8) edge [loop below,very thick] (8)
%(1) [<->,very thick] edge node[above right, pos=0.75,
% minimum size=0pt] {$A$} (2)
(1) [<->,very thick] edge node[above, minimum size=0pt] {$C$} (3)
%(2) [<->,very thick] edge node[above, minimum size=0pt] {$C$} (4)
%(2) [<->,very thick] edge node[above left, pos=0.4,
% minimum size=0pt] {$B$} (6)
(3) [<->,very thick] edge node[above right, pos=0.75,
minimum size=0pt] {$A$} (4)
(3) [<->,very thick] edge node[above left, pos=0.4,
minimum size=0pt] {$B$} (7)
%(4) [<->,very thick] edge node[above left, pos=0.4,
% minimum size=0pt] {$B$} (8)
%(6) [<->,very thick] edge node[above, minimum size=0pt] {$C$} (8)
%(7) [<->,very thick] edge node[above right, pos=0.75,
% minimum size=0pt] {$A$} (8)
;
\path[dotted]
%(1) [<->,very thick] edge node[above left, pos=0.4,
% minimum size=0pt] {$B$} (5)
%(5) [<->,very thick] edge node[above right, pos=0.75,
% minimum size=0pt] {$A$} (6)
%(5) [<->,very thick] edge node[above, minimum size=0pt] {$C$} (7)
;
\end{tikzpicture}
\end{document}
这给出了以下结果:
奇怪的是,节点和格式之间的距离似乎不对,而且图的右侧有一大片额外的空白。
我希望基本保持第一幅图的尺寸和所有内容不变,但隐藏节点和边,其他所有内容保持不变。标记为 111 和 101 的节点之间的尺寸应保持不变,所有剩余标签也应保持原样。我还想摆脱那一团乱麻,这样我就可以轻松地将它们包含在演示文稿和文档中,而不必考虑右侧的所有额外空间。
答案1
问题在于它们的nodes
尺寸不为零,并且这些尺寸进一步拉大了图表的间距。您可以通过保留节点100
但使其不可见来解决这个问题。
\documentclass[12pt]{article}
% AMS Math Packages
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{amsthm}
\usepackage{mathtools}
% Font Settings
\usepackage[T1]{fontenc}
\usepackage{stix}
\usepackage[english]{babel}
\usepackage[kerning,spacing,babel,final]{microtype}
\usepackage{tikz}
\usetikzlibrary{arrows,positioning,matrix}
\tikzset{
>=stealth,
auto,
font=\scriptsize,
point/.style={circle,draw,very thick,align=center,
anchor=center},
Point/.style={double,circle,draw,very thick,align=center,
anchor=center},
transform shape,
}
\begin{document}
\begin{tikzpicture}
\centering
\matrix (m) [matrix of nodes, row sep=0.5cm,column sep=1.25cm] {
&
\node (1) [point] {$110$};
& &
% \node (2) [point] {$010$};
\\
\node (3) [Point] {$111$};
& &
\node (4) [point] {$011$};
& \\ &
\node (5) [point,opacity=0] {\phantom{$000$}};
& &
% \node (6) [point] {\phantom{$000$}};
\\
\node (7) [point] {$101$};
& &
%\node (8) [point] {$001$};
& \\
};
\path[solid]
(1) edge [loop above,very thick] (1)
%(2) edge [loop above,very thick] (2)
(3) edge [loop above,very thick] (3)
(4) edge [loop above,very thick] (4)
%(5) edge [loop below,very thick] (5)
%(6) edge [loop below,very thick] (6)
(7) edge [loop below,very thick] (7)
%(8) edge [loop below,very thick] (8)
%(1) [<->,very thick] edge node[above right, pos=0.75,
% minimum size=0pt] {$A$} (2)
(1) [<->,very thick] edge node[above, minimum size=0pt] {$C$} (3)
%(2) [<->,very thick] edge node[above, minimum size=0pt] {$C$} (4)
%(2) [<->,very thick] edge node[above left, pos=0.4,
% minimum size=0pt] {$B$} (6)
(3) [<->,very thick] edge node[above right, pos=0.75,
minimum size=0pt] {$A$} (4)
(3) [<->,very thick] edge node[above left, pos=0.4,
minimum size=0pt] {$B$} (7)
%(4) [<->,very thick] edge node[above left, pos=0.4,
% minimum size=0pt] {$B$} (8)
%(6) [<->,very thick] edge node[above, minimum size=0pt] {$C$} (8)
%(7) [<->,very thick] edge node[above right, pos=0.75,
% minimum size=0pt] {$A$} (8)
;
\path[dotted]
%(1) [<->,very thick] edge node[above left, pos=0.4,
% minimum size=0pt] {$B$} (5)
%(5) [<->,very thick] edge node[above right, pos=0.75,
% minimum size=0pt] {$A$} (6)
%(5) [<->,very thick] edge node[above, minimum size=0pt] {$C$} (7)
;
\end{tikzpicture}
\begin{tikzpicture}
\centering
\matrix (m) [matrix of nodes, row sep=0.5cm,column sep=1.25cm] {
&
\node (1) [point] {$110$};
& &
\node (2) [point] {$010$}; \\
\node (3) [Point] {$111$};
& &
\node (4) [point] {$011$};
& \\ &
\node (5) [point] {$100$};
& &
\node (6) [point] {$000$}; \\
\node (7) [point] {$101$};
& &
\node (8) [point] {$001$};
& \\
};
\path[solid]
(1) edge [loop above,very thick] (1)
(2) edge [loop above,very thick] (2)
(3) edge [loop above,very thick] (3)
(4) edge [loop above,very thick] (4)
(5) edge [loop below,very thick] (5)
(6) edge [loop below,very thick] (6)
(7) edge [loop below,very thick] (7)
(8) edge [loop below,very thick] (8)
(1) [<->,very thick] edge node[above right, pos=0.75,
minimum size=0pt] {$A$} (2)
(1) [<->,very thick] edge node[above, minimum size=0pt] {$C$} (3)
(2) [<->,very thick] edge node[above, minimum size=0pt] {$C$} (4)
(2) [<->,very thick] edge node[above left, pos=0.4,
minimum size=0pt] {$B$} (6)
(3) [<->,very thick] edge node[above right, pos=0.75,
minimum size=0pt] {$A$} (4)
(3) [<->,very thick] edge node[above left, pos=0.4,
minimum size=0pt] {$B$} (7)
(4) [<->,very thick] edge node[above left, pos=0.4,
minimum size=0pt] {$B$} (8)
(6) [<->,very thick] edge node[above, minimum size=0pt] {$C$} (8)
(7) [<->,very thick] edge node[above right, pos=0.75,
minimum size=0pt] {$A$} (8)
;
\path[dotted]
(1) [<->,very thick] edge node[above left, pos=0.4,
minimum size=0pt] {$B$} (5)
(5) [<->,very thick] edge node[above right, pos=0.75,
minimum size=0pt] {$A$} (6)
(5) [<->,very thick] edge node[above, minimum size=0pt] {$C$} (7)
;
\end{tikzpicture}
\end{document}