diff options
Diffstat (limited to 'vorlesungen/slides/8/inzidenzd.tex')
| -rw-r--r-- | vorlesungen/slides/8/inzidenzd.tex | 25 |
1 files changed, 21 insertions, 4 deletions
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} |