From 894bd78856a41b7a63012cbdef76aba8cfcebdf6 Mon Sep 17 00:00:00 2001 From: Never Gude Date: Wed, 6 May 2026 16:51:04 +0200 Subject: [PATCH] blatt 3 --- übung_2/agt_übung_2.pdf | Bin 59016 -> 59097 bytes übung_3/agt26-blatt03.pdf | Bin 0 -> 131924 bytes übung_3/agt_übung_3.pdf | Bin 0 -> 17042 bytes übung_3/agt_übung_3.tex | 18 +++++ übung_3/aufgabe_1.tex | 6 ++ übung_3/aufgabe_2.tex | 6 ++ übung_3/aufgabe_3.tex | 5 ++ übung_3/aufgabe_4.tex | 6 ++ übung_3/figures.pdf | Bin 0 -> 28272 bytes übung_3/ngexrcs.cls | 75 +++++++++++++++++++ übung_3/ngutils.sty | 153 ++++++++++++++++++++++++++++++++++++++ 11 files changed, 269 insertions(+) create mode 100644 übung_3/agt26-blatt03.pdf create mode 100644 übung_3/agt_übung_3.pdf create mode 100644 übung_3/agt_übung_3.tex create mode 100644 übung_3/aufgabe_1.tex create mode 100644 übung_3/aufgabe_2.tex create mode 100644 übung_3/aufgabe_3.tex create mode 100644 übung_3/aufgabe_4.tex create mode 100644 übung_3/figures.pdf create mode 100644 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Übungsblatt} +\subject{Algorithmische Graphentheorie} +\author{Jasper Gude \and Pia Röttgers} + +\begin{document} +\maketitle +\points[\qquad]{25} + +\input{aufgabe_1.tex} +\input{aufgabe_2.tex} +\input{aufgabe_3.tex} +\input{aufgabe_4.tex} + +\end{document} diff --git a/übung_3/aufgabe_1.tex b/übung_3/aufgabe_1.tex new file mode 100644 index 0000000..0bf9bb5 --- /dev/null +++ b/übung_3/aufgabe_1.tex @@ -0,0 +1,6 @@ +\section{Triangulierungen und Dynamische Programmierung} +\begin{tasks} + \item + \item + \item +\end{tasks} diff --git a/übung_3/aufgabe_2.tex b/übung_3/aufgabe_2.tex new file mode 100644 index 0000000..0c7979c --- /dev/null +++ b/übung_3/aufgabe_2.tex @@ -0,0 +1,6 @@ +% vim: ft=tex +\section{TSP mit Wiederholungen} +\begin{tasks} + \item + \item +\end{tasks} diff --git a/übung_3/aufgabe_3.tex b/übung_3/aufgabe_3.tex new file mode 100644 index 0000000..c316725 --- /dev/null +++ b/übung_3/aufgabe_3.tex @@ -0,0 +1,5 @@ +\section{Metrisches TSP} +\begin{tasks} + \item + \item +\end{tasks} diff --git a/übung_3/aufgabe_4.tex b/übung_3/aufgabe_4.tex new file mode 100644 index 0000000..c560443 --- /dev/null +++ b/übung_3/aufgabe_4.tex @@ -0,0 +1,6 @@ +\section{Längste Wege} +\begin{tasks} + \item + \item + \item +\end{tasks} diff --git a/übung_3/figures.pdf b/übung_3/figures.pdf new file mode 100644 index 0000000000000000000000000000000000000000..22838ff971eefddb3a1624436a0811a174e761c2 GIT binary patch literal 28272 zcmeIb2|Sfu*D!9#keLjbax@sqaOQJJGD|X(IpZ?66w3n(IC9f^WJy=?|J{v`+Vp3D|@fK_jT>P_S$Q$z1Q07I;Jco!w(TakfA_e zkiD@LNJK;#9cptH}6n%B+>g$`gh#cjz zo$hnW*{Mt0s7;Jnk9ihIiZnV2`hug$GsOZ49lYNg9QW$0=scz;x3;bfXOIX`o6PpOo_?sa<(ucat9CTs z2TjLo<%|9?IM~Z)?~|Asl8`(4U2D>cv&oCysdNK7o(HWM*4Eq3)hp9+7`&Enq@qEm_z9M0meC-S!NLyfp;ax&7oyWsZ z_e{I&tYTw2ke)T%&E{ucPO**;JbTiXc(_!0tZhQ*$X!XSSLaXaU30OU)%hm$ zYL%mS3gr-Rq8zF%_AZUY&)yGQC2?V_N%V9WR|R@fIbWz$xRmAC7wVoH?2kuePWLsD z&D~+nH;)%Rb-j_1$V6OkhC+MkWZ!zXy1nM5f%?u_+jR5OtU;#b>&`11#fQ|=t*3S?;O`%AqPCQ!}u 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z3c$d;!1JB#O+I7Oj>3;R3U3SljD*xxTY zKtp%UIq;Q)a@SgbpuoG< zF8~wTg%{upXS;BKg6~?Z5EObBpM;H zi5DmkDPtE5@JZVZgY1$4P$YDFUtFAwfRDL2k%@?q394CoVz4q)P}Sbv1%%Tj0L1{O fC16PcXT}B`*o>T9aPk&dQwRvzv18IoGGzY;CH2g6 literal 0 HcmV?d00001 diff --git a/übung_3/ngexrcs.cls b/übung_3/ngexrcs.cls new file mode 100644 index 0000000..c7218dc --- /dev/null +++ b/übung_3/ngexrcs.cls @@ -0,0 +1,75 @@ +% vim: set filetype:tex + +% Identification % +\NeedsTeXFormat{LaTeX2e} +\ProvidesClass{ngexrcs}[2021/12/21 ADS Exercise class] + +% Handle options % +\DeclareOption*{\PassOptionsToClass{\CurrentOption}{scrartcl}} +\ProcessOptions\relax + +% More declarations % +\LoadClass{scrartcl} + +\KOMAoptions{mpinclude=true} +\recalctypearea + +\RequirePackage{enumitem} +\RequirePackage{ngutils} + +% define fonts +\RequirePackage{fontspec} +%\RequirePackage{tgpagella} +%\RequirePackage{tgheros} +%\RequirePackage{euler-math} +\RequirePackage[math-style=upright]{unicode-math} +\setmainfont{TeX Gyre Pagella} +\setsansfont{TeX Gyre Heros} +\setmonofont{TeX Gyre Cursor} +\setmathfont{Euler Math} + +\setlength{\marginparwidth}{1.5\marginparwidth} +\setlength{\fboxrule}{\heavyrulewidth} + + +% +% \renewcommand\theenumi{\@alph\c@enumi} +% \renewcommand\theenumii{\@arabic\c@enumii} +%\renewcommand\theenumiii{\@roman\c@enumiii} +%\renewcommand\theenumiv{\@Alph\c@enumiv} + +% \renewcommand\labelenumi{\theenumi)} +% \renewcommand\labelenumii{\theenumii.} +%\renewcommand\labelenumiii{\theenumiii.} +%\renewcommand\labelenumiv{\theenumiv.} + +% Use sansfont for all title elements +\addtokomafont{titlehead}{\sffamily} +\addtokomafont{subject}{\normalfont \sffamily \itshape} +\addtokomafont{title}{\sffamily} +\addtokomafont{subtitle}{\sffamily} +\addtokomafont{author}{\sffamily} +\addtokomafont{date}{\sffamily} +\addtokomafont{publishers}{\sffamily} + +% Use serif font for headings +\addtokomafont{disposition}{\rmfamily} + +% Let sections be formated as in: Aufgabe 1 -- Section title +\renewcommand*{\sectionformat}{Aufgabe \thesection\autodot\enskip--\enskip} + +% Let points of an exercise be printed as in: [__ / 2] +\newkomafont{points}{\sffamily} +\newcommand\points[2][\quad]{\marginline{\framebox{{\usekomafont{points}#1 \textbf{/} #2}}}} + +\newenvironment{tasks}[1][1em] +{ +\setlist{leftmargin=*} +\renewcommand\theenumi{\@alph\c@enumi} +\renewcommand\theenumii{\@arabic\c@enumii} +\renewcommand\labelenumi{\theenumi)} +\renewcommand\labelenumii{\theenumii.} +\begin{enumerate} +}{% +\end{enumerate} +} diff --git a/übung_3/ngutils.sty b/übung_3/ngutils.sty new file mode 100644 index 0000000..986bd5c --- /dev/null +++ b/übung_3/ngutils.sty @@ -0,0 +1,153 @@ +\NeedsTeXFormat{LaTeX2e} +\ProvidesPackage{ngutils}[2025/12/24 Never's LaTeX utils] + +\RequirePackage[ngerman]{babel} +\RequirePackage{graphicx} +\RequirePackage{tabularx} +\RequirePackage{booktabs} +\RequirePackage{listings} + + +\lstnewenvironment{pseudocode}[1][] %defines the algorithm listing environment +{ + \renewcommand{\lstlistingname}{Algorithmus} + \lstset{ %this is the stype + mathescape=true, + columns=fullflexible, + basicstyle=\normalfont, + identifierstyle=\scshape, + keywordstyle=\bfseries, + keywords={, new, if, then, else, while, for, in, to, up, down, foreach, do, return}, + commentstyle=\itshape, + comment=[l]//, + delim=[is][\normalfont]{|}{|}, + tabsize=3, + frame=tb, + framerule=1pt, + #1 % this is to add specific settings to an usage of this environment (for instnce, the caption and referable label) + } +} +{} + +\newcommand{\seilpmi}{\ensuremath{\Longleftarrow}} + +\newcommand\NN{\ensuremath{\mathbb{N}}} +\newcommand\ZZ{\ensuremath{\mathbb{Z}}} +\newcommand\QQ{\ensuremath{\mathbb{Q}}} +\newcommand\RR{\ensuremath{\mathbb{R}}} +\newcommand\CC{\ensuremath{\mathbb{C}}} +\newcommand\PP{\ensuremath{\mathbb{P}}} + +\newcommand\Oh{\ensuremath{\mathcal{O}}} +\newcommand\oh{\ensuremath{\scriptstyle{\mathcal{O}}}} +\newcommand\Eh{\ensuremath{\mathrm{E}}} +\newcommand\Var{\ensuremath{\mathrm{Var}}} +\newcommand\argmax{\ensuremath{\mathrm{arg\,max}}} +\newcommand\argmin{\ensuremath{\mathrm{arg\,min}}} + +\newcommand\parens[1]{\ensuremath{\left(#1\right)}} +\newcommand\brackets[1]{\ensuremath{\left[#1\right]}} +\newcommand\braces[1]{\ensuremath{\left\{#1\right\}}} +\newcommand\angled[1]{\ensuremath{\left\langle#1\right\rangle}} + +\newcommand\tup[1]{\parens{#1}} +\newcommand\ivl[1]{\brackets{#1}} +\newcommand\set[1]{\braces{#1}} +\newcommand\arr[1]{\angled{#1}} +\newcommand\abs[1]{\ensuremath{\lvert#1\rvert}} +\newcommand\norm[1]{\ensuremath{\lVert#1\rVert}} +\newcommand\ceil[1]{\ensuremath{\lceil#1\rceil}} +\newcommand\floor[1]{\ensuremath{\lfloor#1\rfloor}} + +\newcommand\alg[2]{{\normalfont\scshape#1}{\normalfont(#2)}} +\newcommand\algt[1]{{\normalfont\scshape#1}} +\newcommand\com[1]{{\normalfont\itshape/\!\!/ #1}} + + +\newenvironment{algorithmic}[1][1em]{ + \begin{minipage}[t]{\dimexpr\linewidth} + \bfseries + \begin{tabbing} + \hspace{#1}\=\hspace{#1}\=\hspace{#1}\=\hspace{#1}\=\hspace{#1}\=\hspace{#1}\=\hspace{#1}\=\hspace{#1}\=\kill + }{% + \end{tabbing} + \end{minipage} +} + +% \newenvironment{algorithm}[1][1em]{ +% \begin{center} +% \begin{minipage}[t]{\dimexpr\linewidth} +% \bfseries +% \begin{tabbing} +% \hspace{#1}\=\hspace{#1}\=\hspace{#1}\=\hspace{#1}\=\hspace{#1}\=\hspace{#1}\=\hspace{#1}\=\hspace{#1}\=\kill +% }{% +% \end{tabbing} +% \end{minipage} +% \end{center} +% } + +\makeatletter +\newcounter{algorithm}% the counter +\renewcommand*\thealgorithm{\arabic{algorithm}}% the default format for the counter +\newcommand*\fps@algorithm{tbp}% default floating options +\newcommand*\ftype@algorithm{4}% float type number, needs to be a power of 2; % \ftype@figure=1, \ftype@table=2 +\newcommand*\ext@algorithm{loa}% extension of file for the list of schemes +\newcommand*\fnum@algorithm{\algorithmname\nobreakspace\thealgorithm}% used in caption +\newcommand*\algorithmname{Algorithmus}% the name +\newcommand*\listalgorithmname{Algorithmenverzeichnis}% the name of the list +\newenvironment{algorithm}{\@float{algorithm}}{\end@float}% the environment +\newenvironment{algorithm*}{\@dblfloat{algorithm}}{\end@dblfloat}% the starred % version for twocolumn documents +\newcommand*\listofalgorithms{% the list of schemes + \section*{\listalgorithmname} + \@mkboth + {\MakeUppercase\listalgorithmname} + {\MakeUppercase\listalgorithmname} + \@starttoc{\ext@algorithm} } + \let\l@algorithm\l@figure % layout of list is the same as for figures +\makeatother + +\newlength{\theoremskip} +\setlength{\theoremskip}{6em} + +\newcommand{\theoremfont}{\normalfont\bfseries} +\newcommand{\definitionfont}{\normalfont\bfseries} + +\newenvironment{theoremic}[2][\theoremfont]{ + {#1 #2} + \hfill + \begin{minipage}[t]{\the\dimexpr\linewidth-\theoremskip\relax} + }{ + \end{minipage} +} + +\newenvironment{theorem}{ + \begin{theoremic}{Satz.} + }{ + \end{theoremic} +} + +\newenvironment{lemma}{ + \begin{theoremic}{Lemma.} + }{ + \end{theoremic} +} + +\newenvironment{proof}{ + \begin{theoremic}{Beweis.} + }{ + \end{theoremic} +} + +\newenvironment{definition}{ + \begin{theoremic}[\definitionfont]{Definition.} + }{ + \end{theoremic} +} + +\newenvironment{example}{ + \begin{theoremic}[\definitionfont]{Beispiel.} + }{ + \end{theoremic} +} + +