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Never Gude 2026-04-20 14:27:02 +02:00
parent b5eb59096b
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6 changed files with 19 additions and 21 deletions
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6
übung_1/agt_übung_1.aux
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@ -8,14 +8,14 @@
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übung_1/agt_übung_1.fdb_latexmk
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@ -1,5 +1,5 @@
# Fdb version 4 # Fdb version 4
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(generated) (generated)
"agt_übung_1.aux" "agt_übung_1.aux"

16
übung_1/agt_übung_1.log
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@ -1,4 +1,4 @@
This is LuaHBTeX, Version 1.22.0 (TeX Live 2025) (format=lualatex 2026.2.8) 19 APR 2026 18:32 This is LuaHBTeX, Version 1.22.0 (TeX Live 2025) (format=lualatex 2026.2.8) 20 APR 2026 14:26
restricted system commands enabled. restricted system commands enabled.
**/home/never/Documents/InNa/26_SoSe/AGT/agt_exercise/übung_1/agt_übung_1.tex **/home/never/Documents/InNa/26_SoSe/AGT/agt_exercise/übung_1/agt_übung_1.tex
@ -1385,13 +1385,13 @@ Package luatex.def Info: msb-eps-converted-to.pdf used on input line 35.
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Overfull \hbox (2.21837pt too wide) in paragraph at lines 148--150 Overfull \hbox (2.21837pt too wide) in paragraph at lines 146--148
\TU/TeXGyrePagella(0)/m/n/10.95 kann nicht exis-tie-ren, da die Sum-me al-ler Kn \TU/TeXGyrePagella(0)/m/n/10.95 kann nicht exis-tie-ren, da die Sum-me al-ler Kn
o-ten mit un-ge-ra-dem Grad o-ten mit un-ge-ra-dem Grad
[] []
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\TU/TeXGyrePagella(0)/m/n/10.95 wer-den, wenn be-stimm-te an-de-re Auf-ga-ben ab \TU/TeXGyrePagella(0)/m/n/10.95 wer-den, wenn be-stimm-te an-de-re Auf-ga-ben ab
- ge-schlos-sen sind. - ge-schlos-sen sind.
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@ -1404,14 +1404,14 @@ L3 programming layer <2026-01-19>
) )
Here is how much of LuaTeX's memory you used: Here is how much of LuaTeX's memory you used:
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ph, 213 attribute, 62 glue_spec, 107 attribute_list, 1 write nodes ph, 213 attribute, 62 glue_spec, 107 attribute_list, 1 write nodes
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-italic.otf> -italic.otf>
Output written on agt_übung_1.pdf (3 pages, 46993 bytes). Output written on agt_übung_1.pdf (3 pages, 46777 bytes).
PDF statistics: 118 PDF objects out of 1000 (max. 8388607) PDF statistics: 118 PDF objects out of 1000 (max. 8388607)
83 compressed objects within 1 object stream 83 compressed objects within 1 object stream

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8
übung_1/agt_übung_1.tex
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@ -42,9 +42,7 @@ Falsch, siehe \autoref{fig:msb}.
Wenn $w(e) \in \set{1, 2, 3}$ für alle $e \in E$, dann ist jeder minimale Wenn $w(e) \in \set{1, 2, 3}$ für alle $e \in E$, dann ist jeder minimale
Spannbaum von $G$ ein Tiefensuchbaum mit Quelle $s$. Spannbaum von $G$ ein Tiefensuchbaum mit Quelle $s$.
\end{quote} \end{quote}
Sei $w(e) = 1$ für Gegenbeispiel siehe Foto
alle $e \in E$ so gilt das Gegenbeispiel von oben. Also ist die Aussage
falsch.
\points{2} \points{2}
\end{tasks} \end{tasks}
@ -114,7 +112,7 @@ falsch.
Der Algorithmus kann aufgrund der Struktur des Graphens (kein Multigraph, Der Algorithmus kann aufgrund der Struktur des Graphens (kein Multigraph,
keine Selbstkanten) nur Kreise der Länge mindestens 3 finden. keine Selbstkanten) nur Kreise der Länge mindestens 3 finden.
Jeder Knoten wird nur einmal in die Queue eingefügt und nur einmal herasgenommen. Jeder Knoten wird nur einmal in die Queue eingefügt und nur einmal herausgenommen.
Somit läuft der Algorithmus in $\Oh(\abs{V})$. Somit läuft der Algorithmus in $\Oh(\abs{V})$.
\points{2} \points{2}
@ -166,7 +164,7 @@ Wir modellieren das Problem als gerichteten Graph.
Die Aufgaben sind Knoten. Jede Aufgabe hat Kanten zu den Aufgaben, die von ihr Die Aufgaben sind Knoten. Jede Aufgabe hat Kanten zu den Aufgaben, die von ihr
abhängen. abhängen.
Eine Reihenfolge können wir Mithilfe einer Topologischen Sortierung finden. Eine Reihenfolge können wir mithilfe einer Topologischen Sortierung finden.
\points{3} \points{3}