przepisano wszystkie obrazki na tikz
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@ -54,7 +54,7 @@ który nie jest połączony z żadnym innym.
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\begin{figure}[H]
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\centering
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\includegraphics{niehamiltonowski}
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\input{gfx/hamilton.tex}
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\caption{Transformacja w graf niehamiltonowski}
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\end{figure}
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@ -137,7 +137,7 @@ $\deg f(u) \geq \delta$. Można to zaobserwować na rysunku poniżej.
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\begin{figure}[H]
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\centering
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\includegraphics{./gfx/mapowanie}
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\input{gfx/mapowanie.tex}
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\caption{Powiązane wierzchołki mają ten sam kolor w obu grafach.}
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\end{figure}
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26
gfx/hamilton.tex
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26
gfx/hamilton.tex
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@ -0,0 +1,26 @@
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\begin{tikzpicture}[node distance=4cm, auto]
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\def\V{(0,0),(1,-1),(-1,-1.5),(-1,.5),(-2.5,1),(1,1.5),(.5,3),(-1,2.5),(-2.5,2.5)}
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\def\E{1/2,1/3,3/4,1/4,1/6,2/6,3/2,3/5,5/4/,5/9,9/8,8/7,6/7,4/9,4/7,1/8}
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\def\C{5/4,4/3,3/2,2/1,1/6,6/7,7/8,8/9,9/5}
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\def\G{%
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\foreach \pos[count=\v] in \V \node[vertex] (v-\v) at \pos {};%
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\foreach \u/\v in \E \draw (v-\u) -- (v-\v);%
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}%
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\node[label={below:Graf $G$}] (G) {
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\begin{tikzpicture}
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\G
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\foreach \u/\v in \C \draw[thick, red] (v-\u) -- (v-\v);
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\end{tikzpicture}
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};
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\node[label={below:Graf $G_1$}, right of=G, anchor=west] (H) {
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\begin{tikzpicture}
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\G
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\node[vertex, label={below:$v_{101}$}] at (-2,-.5) {};
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\end{tikzpicture}
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};
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\draw[->, thick] (G) -- (H);
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\end{tikzpicture}
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24
gfx/mapowanie.tex
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24
gfx/mapowanie.tex
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@ -0,0 +1,24 @@
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\begin{tikzpicture}[node distance=4cm, auto]
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\node[label={left:Graf $G$}] (G) {
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\begin{tikzpicture}
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\def\V{(0,0)/red,(1,-0.5)/teal,(0.5,-2)/green,(-1,-1)/blue}
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\def\E{1/2,2/3,3/4,4/1}
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\foreach \pos/\color[count=\v] in \V \node[vertex, draw=\color, very thick] (v-\v) at \pos {\v};
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\foreach \u/\v in \E \draw (v-\u) -- (v-\v);
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\end{tikzpicture}
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};
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\node[right of=G, anchor=west, label={left:Graf $H$}] (H) {
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\begin{tikzpicture}
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\def\V{(-1.5,1)/teal,(-.5,2)/green,(0,-.5)/red,(1,.5)/blue}
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\def\VV{(-1,-1.5),(2,-1),(-1.5,3),(2,1.5)}
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\def\E{1/2,1/3,1/4,2/3,2/4,3/4,1/5,3/5,5/6,6/8,8/2,4/8,3/6,1/7,2/7,7/8}
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\foreach \pos/\color[count=\v] in \V \node[vertex, draw=\color, very thick] (v-\v) at \pos {\v};
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\foreach \pos[count=\v from 5] in \VV \node[vertex, very thick] (v-\v) at \pos {\v};
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\foreach \u/\v in \E \draw (v-\u) -- (v-\v);
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\end{tikzpicture}
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};
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\end{tikzpicture}
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2183
mapowanie.ai
2183
mapowanie.ai
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2208
niehamiltonowski.ai
2208
niehamiltonowski.ai
File diff suppressed because one or more lines are too long
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