From a0a5f0f799be512684e31d13cdedc2ef1c404792 Mon Sep 17 00:00:00 2001
From: =?UTF-8?q?Andreas=20M=C3=BCller?= <andreas.mueller@ost.ch>
Date: Sat, 13 Mar 2021 21:09:35 +0100
Subject: add additional paper

---
 vorlesungen/slides/8/inzidenzd.tex | 25 +++++++++++++++++++++----
 1 file changed, 21 insertions(+), 4 deletions(-)

(limited to 'vorlesungen/slides/8/inzidenzd.tex')

diff --git a/vorlesungen/slides/8/inzidenzd.tex b/vorlesungen/slides/8/inzidenzd.tex
index 18feeae..5f2f51a 100644
--- a/vorlesungen/slides/8/inzidenzd.tex
+++ b/vorlesungen/slides/8/inzidenzd.tex
@@ -23,7 +23,9 @@
 
 \draw[->,shorten >= 0.2cm,shorten <= 0.2cm] (A) -- (C);
 \draw[color=white,line width=5pt] (B) -- (D);
-\draw[->,shorten >= 0.2cm,shorten <= 0.2cm,color=darkgreen] (B) -- (D);
+{\color<2->{darkgreen}
+\draw[->,shorten >= 0.2cm,shorten <= 0.2cm] (B) -- (D);
+}
 
 \draw[->,shorten >= 0.2cm,shorten <= 0.2cm] (A) -- (B);
 \draw[->,shorten >= 0.2cm,shorten <= 0.2cm] (B) -- (C);
@@ -32,7 +34,12 @@
 \draw[->,shorten >= 0.2cm,shorten <= 0.2cm] (E) -- (A);
 
 \draw (A) circle[radius=0.2];
+\only<-2>{
+\fill[color=white] (B) circle[radius=0.2];
+}
+\only<3->{
 \fill[color=red!20] (B) circle[radius=0.2];
+}
 \draw (B) circle[radius=0.2];
 \draw (C) circle[radius=0.2];
 \draw (D) circle[radius=0.2];
@@ -51,11 +58,14 @@
 \node at ($0.5*(D)+0.5*(E)$) [below] {$\scriptstyle 4$};
 \node at ($0.5*(E)+0.5*(A)+(-0.1,0.1)$) [below right] {$\scriptstyle 5$};
 \node at ($0.6*(A)+0.4*(C)$) [above] {$\scriptstyle 6$};
-\node[color=darkgreen] at ($0.4*(B)+0.6*(D)$) [left] {$\scriptstyle 7$};
+{\color<2->{darkgreen}
+\node at ($0.4*(B)+0.6*(D)$) [left] {$\scriptstyle 7$};
+}
 
 \end{tikzpicture}
 \end{center}
 \vspace{-15pt}
+\uncover<5->{%
 \begin{block}{Definition}
 \vspace{-20pt}
 \begin{align*}
@@ -63,7 +73,7 @@ B(G)_{ij}&=-1&&\Leftrightarrow&&\text{Kante $j$ von $i$}\\
 B(G)_{kj}&=+1&&\Leftrightarrow&&\text{Kante $j$ nach $k$}\\
 A(G)_{ij}&=\phantom{-}1&&\Leftrightarrow&&\text{Kante von $i$ nach $j$}
 \end{align*}
-\end{block}
+\end{block}}
 \end{column}
 \begin{column}{0.58\textwidth}
 \begin{center}
@@ -73,14 +83,18 @@ A(G)_{ij}&=\phantom{-}1&&\Leftrightarrow&&\text{Kante von $i$ nach $j$}
 \def\dy{0.48}
 
 \begin{scope}[xshift=4cm,yshift=3cm]
+\uncover<3->{
 \fill[color=red!20] 
 ({-0.67-(7-1)*\dx-0.4},{-0.38-(2-1)*\dy-0.2})
 rectangle
 ({-0.67-(7-7)*\dx+0.2},{-0.38-(2-1)*\dy+0.16});
+}
+\uncover<2->{
 \fill[color=darkgreen!40,opacity=0.5] 
 ({-0.67-(7-7)*\dx-0.4},{-0.38-(5-1)*\dy-0.2})
 rectangle
 ({-0.67-(7-7)*\dx+0.2},{-0.38-(1-1)*\dy+0.16});
+}
 %\draw (0,0) circle[radius=0.05];
 \foreach \x in {1,...,7}{
 	\node[color=gray] at ({-0.67-(7-\x)*\dx},0.0) {\tiny $\x$};
@@ -95,6 +109,7 @@ rectangle
 	[above,rotate=-90] {\tiny Knoten};
 \end{scope}
 
+\uncover<4->{
 \begin{scope}[xshift=2.32cm,yshift=-0.24cm]
 %\draw (0,0) circle[radius=0.05];
 \fill[color=red!20] 
@@ -117,6 +132,7 @@ rectangle
 \node[color=gray] at ({0.00},{-0.38-(3-1)*\dy})
 	[above,rotate=-90] {\tiny Knoten};
 \end{scope}
+}
 
 \node at (0,0) {$\displaystyle
 \begin{aligned}
@@ -130,6 +146,7 @@ B(G)
  0& 0& 0&+1&-1& 0& 0
 \end{pmatrix*}
 \\[20pt]
+\uncover<4->{
 A(G)
 &=
 \begin{pmatrix*}[r]
@@ -138,7 +155,7 @@ A(G)
 \phantom{-}1&\phantom{-}1& 0&\phantom{-}1& 0\\
  0&\phantom{-}1&\phantom{-}1& 0&\phantom{-}1\\
 \phantom{-}1& 0& 0&\phantom{-}1& 0
-\end{pmatrix*}
+\end{pmatrix*}}
 \end{aligned}$};
 \end{tikzpicture}
 \end{center}
-- 
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