diff options
Diffstat (limited to 'vorlesungen/slides/8/inzidenz.tex')
| -rw-r--r-- | vorlesungen/slides/8/inzidenz.tex | 27 |
1 files changed, 23 insertions, 4 deletions
diff --git a/vorlesungen/slides/8/inzidenz.tex b/vorlesungen/slides/8/inzidenz.tex index 5911593..87578df 100644 --- a/vorlesungen/slides/8/inzidenz.tex +++ b/vorlesungen/slides/8/inzidenz.tex @@ -23,7 +23,9 @@ \draw[shorten >= 0.2cm,shorten <= 0.2cm] (A) -- (C); \draw[color=white,line width=5pt] (B) -- (D); -\draw[color=darkgreen,shorten >= 0.2cm,shorten <= 0.2cm] (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); @@ -31,7 +33,12 @@ %\draw[shorten >= 0.2cm,shorten <= 0.2cm] (D) -- (E); \draw[shorten >= 0.2cm,shorten <= 0.2cm] (E) -- (A); +\only<-2>{ +\fill[color=white] (B) circle[radius=0.2]; +} +\only<3->{ \fill[color=red!20] (B) circle[radius=0.2]; +} \draw (A) circle[radius=0.2]; \draw (B) circle[radius=0.2]; @@ -51,18 +58,21 @@ \node at ($0.5*(C)+0.5*(D)+(0.05,0)$) [left] {$\scriptstyle 3$}; \node at ($0.5*(E)+0.5*(A)+(-0.1,0.1)$) [below right] {$\scriptstyle 4$}; \node at ($0.6*(A)+0.4*(C)$) [above] {$\scriptstyle 5$}; -\node[color=darkgreen] at ($0.4*(B)+0.6*(D)$) [left] {$\scriptstyle 6$}; +{\color<2->{darkgreen} +\node at ($0.4*(B)+0.6*(D)$) [left] {$\scriptstyle 6$}; +} \end{tikzpicture} \end{center} \vspace{-10pt} +\uncover<5->{% \begin{block}{Definition} \vspace{-15pt} \begin{align*} B(G)_{ij}&=1&&\Leftrightarrow&&\text{Kante $j$ endet in Knoten $i$}\\ A(G)_{ij}&=1&&\Leftrightarrow&&\text{Kante zwischen Knoten $i$ und $j$} \end{align*} -\end{block} +\end{block}} \end{column} \begin{column}{0.48\textwidth} \begin{center} @@ -73,8 +83,12 @@ A(G)_{ij}&=1&&\Leftrightarrow&&\text{Kante zwischen Knoten $i$ und $j$} \begin{scope} +\uncover<3->{ \fill[color=red!20] (1.8,1.8) rectangle (4.75,2.15); +} +\uncover<2->{ \fill[color=darkgreen!40,opacity=0.5] (4.46,0.36) rectangle (4.79,2.65); +} \foreach \y in {1,...,5}{ \node[color=gray] at (5.3,{2.45-(\y-1)*\dy}) {\tiny $\y$}; } @@ -87,9 +101,12 @@ A(G)_{ij}&=1&&\Leftrightarrow&&\text{Kante zwischen Knoten $i$ und $j$} \node[color=gray] at (5.3,{2.45-2*\dy}) [above,rotate=-90] {\tiny Knoten}; \end{scope} +\uncover<4->{ \begin{scope} +\uncover<3->{ \fill[color=red!20] (1.8,-1.16) rectangle (4.25,-0.77); \fill[color=red!20] (2.3,-2.6) rectangle (2.63,-0.29); +} \foreach \y in {1,...,5}{ \node[color=gray] at (4.7,{-0.5-(\y-1)*\dy}) {\tiny $\y$}; \node[color=gray] at ({1.92+(\y-1)*\dx},-0.1) {\tiny $\y$}; @@ -99,6 +116,7 @@ A(G)_{ij}&=1&&\Leftrightarrow&&\text{Kante zwischen Knoten $i$ und $j$} \node[color=gray] at ({1.92+2*\dx},0.1) {\tiny Knoten}; \node[color=gray] at (4.7,{-0.5-2*\dy}) [above,rotate=-90] {\tiny Knoten}; \end{scope} +} \node (0,0) [right] {$\displaystyle \begin{aligned} @@ -112,6 +130,7 @@ B(G) 0&0&0&1&0&1 \end{pmatrix} \\[12pt] +\uncover<4->{ A(G) &= \begin{pmatrix} @@ -121,7 +140,7 @@ A(G) 0&1&1&0&0\\ 1&0&0&0&0 \end{pmatrix} -\end{aligned}$}; +\end{aligned}}$}; \end{tikzpicture} \end{center} |