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+\documentclass[a4paper,fontsize=12pt,listof=totoc,toc=sectionentrywithdots]{scrartcl}
+
+\usepackage[T1]{fontenc}
+\usepackage[utf8]{inputenc}
+\usepackage{emoji}
+\usepackage{polyglossia}
+\setdefaultlanguage{english}
+\usepackage{lmodern}
+\usepackage[onehalfspacing]{setspace}
+\setcounter{secnumdepth}{5} % numbered paragraphs
+\usepackage{fancyhdr}
+    \setlength{\headheight}{15.2pt}
+    \pagestyle{fancy}
+    \fancyhf{}
+    \fancyhead[R]{cheat sheet}
+    \fancyhead[L]{tikz graphs}
+    \fancyfoot[C]{\thepage}
+
+%
+% tikz
+%
+
+\usepackage{tikz}
+\usepackage{tikzsymbols}
+\usetikzlibrary{trees, graphs, graphdrawing, automata, positioning, quotes, arrows}
+\usegdlibrary{force, trees, circular, layered} % choosing look of graphs
+
+%
+% define custom colors
+%
+
+\definecolor{bmpink}{HTML}{FF91AF}
+\definecolor{mauve}{HTML}{BB85AB}
+\definecolor{pastyel}{HTML}{FFFFCA}
+
+%
+% math packages
+%
+
+\usepackage{mathtools}
+\usepackage{amsxtra,amssymb,amsthm,amstext,amsfonts}
+\usepackage{esint} % for circle integrals
+
+%
+% microtype setting
+%
+
+\usepackage{float} % better control of placements
+\usepackage{microtype} % package for optimising typographic details
+
+%
+% tables
+%
+
+\usepackage{booktabs} % optimised display of tables
+\usepackage{tabularx} % more modern display of tables with \toprule,\midrule,\bottomrule
+\usepackage{multirow} % allows table cells over multiple rows within a column
+
+%
+% misc packages
+%
+
+\usepackage[extendedchars]{grffile} % for spaces and special chars in file paths
+\usepackage{xcolor} % adds colours
+\usepackage{multicol} % allows dividing (parts of) the page into multiple columns
+\usepackage[hyphens]{url} % adds hyperlinks
+\usepackage[]{hyperref} % adds links to toc
+
+%
+% math related custom commands
+%
+
+\renewcommand{\epsilon}{\varepsilon}
+\renewcommand{\phi}{\varphi}
+\newtheorem{lemma}{Lemma}
+
+%
+% maketitle
+%
+
+\title{tikz graphs}
+\subject{cheat sheet}
+\author{Isabell Pflug}
+\date{\today}
+
+%
+% document
+%
+
+\begin{document}
+\maketitle
+\tableofcontents
+
+%
+% Trees
+%
+
+\pagebreak
+\section{Trees}
+\begin{center}
+    \begin{tikzpicture}[level distance=1.5cm, level 1/.style={sibling distance=2cm}, node distance={2cm}, thick, main/.style = {draw, circle}]
+        \node (start) {};
+        \node[main] (a) [below of = start, node distance = {0.7cm}] {a}
+            child { node[main] (b) {b} }
+            child { node[main] (c) {c} }
+            child { node[main] (d) {d}
+                child { node[main] (e) {e} } };
+        \node[main, draw=none] (h) [right of = a] {};
+        \node[main] (f) [right of = h] {f}
+            child { node[main] (g) {g} };
+    \end{tikzpicture}
+\end{center}
+
+%
+% Graph section
+%
+
+\pagebreak
+\section{Graphs}
+
+%
+% Simple Necklace Layout
+%
+
+\subsection{Simple Necklace Layout}
+\begin{tikzpicture}[inner sep=2pt]
+    \graph [simple necklace layout, node distance=1cm, nodes={circle, draw, minimum size=0.4cm}, empty nodes]
+    {
+        $G$ // { 1[x=1,y=2], 2, 3, 4, 5,
+            1 --[red] 3 --[red] 5 --[red] 2 --[red] 4 --[red] 1
+        }
+    };
+    \graph [simple necklace layout, node distance=1cm, nodes={circle, draw, minimum size=0.4cm}, empty nodes]
+    {
+        $G^{C}$ // { 1[x=4,y=2], 2, 3, 4, 5,
+            1 --[green] 2 --[green] 3 --[green] 4 --[green] 5 --[green] 1
+        }
+    };
+    \graph [simple necklace layout, node distance=1cm, nodes={circle, draw, minimum size=0.4cm}, empty nodes]
+    {
+        $K_{5}$ // { 1[x=7,y=2], 2, 3, 4, 5,
+            1 --[green] 2 --[green] 3 --[green] 4 --[green] 5 --[green] 1,
+            1 --[red] 3 --[red] 5 --[red] 2 --[red] 4 --[red] 1
+        }
+    };
+\end{tikzpicture} \\
+\begin{tikzpicture}[inner sep=2pt]
+    \centering
+    \graph [simple necklace layout, node distance=1cm, nodes={circle, draw, minimum size=0.4cm}, empty nodes]
+    { 
+        $K_{4}$ // { 1[fill=bmpink, x=1,y=2], 2[fill=pastyel], 3[fill=mauve], 4[fill=bmpink], 3 -- 1 -- 2 -- 3 -- 4 -- 2, 1 -- 4 }
+    };
+    \graph [simple necklace layout, node distance=1cm, nodes={circle, draw, minimum size=0.4cm}, empty nodes]
+    {
+        $H$ // { 1[fill=bmpink, x=4,y=2], 2[fill=pastyel], 3[fill=mauve], 4[fill=bmpink], 5[fill=mauve], 6[fill=pastyel], 1 -- 2 -- 3 -- 1,
+        2 -- 4 -- 3, 2 -- 5,
+        3 -- 6,
+        5 -- 4 -- 6 -- 5,
+        4,
+        6 -- 1 -- 5 
+        }
+    };
+\end{tikzpicture}
+
+%
+% Spring Layout
+%
+
+\subsection{Spring Layout, weighted edges}
+\begin{center}
+\begin{tikzpicture}[inner sep=2pt, thick]
+\graph [spring layout, node distance=1cm, nodes={circle, draw, minimum size=0.6cm}]
+    { 
+        A[x=1,y=6] --[bmpink] B[x=5,y=6] ->[bmpink] C[x=3.5,y=4] -- A,
+        A -- E[x=1,y=2] -- C,
+        B --[bmpink] D[x=9,y=6] --[bmpink] F[x=6.5,y=4] -- C,
+        E --[bmpink] G[x=9,y=2] --[bmpink] D,
+        F -- G
+    };
+\path (A) edge[draw = none] node[anchor = south] {$5$} (B);
+\path (B) edge[draw = none] node[anchor = south] {$14$} (D);
+\path (B) edge[draw = none] node[anchor = south east] {$2$} (C);
+\path (A) edge[draw = none] node[anchor = east] {$22$} (E);
+\path (E) edge[draw = none] node[anchor = south east] {$20$} (C);
+\path (C) edge[draw = none] node[anchor = south] {$16$} (F);
+\path (F) edge[draw = none] node[anchor = south west] {$12$} (G);
+\path (E) edge[draw = none] node[anchor = south] {$7$} (G);
+\path (D) edge[draw = none] node[anchor = west] {$4$} (G);
+\path (F) edge[draw = none] node[anchor = south east] {$10$} (D);
+\path (A) edge[draw = none] node[anchor = south west] {$8$} (C);
+
+\end{tikzpicture}
+\end{center}
+
+\subsection{Layered Layout}
+\subsubsection{Bipartite}
+\begin{center}
+\begin{tikzpicture}[inner sep=2pt, thick]
+\graph [layered layout, nodes={circle, draw, minimum size=0.6cm}, sibling distance=5cm, level distance=5cm]%, grow=-80]
+  {
+    {a,b,c} --[complete bipartite, bmpink] {e,d,f}
+            --[complete bipartite] {g,h,i};
+  };
+\end{tikzpicture}
+\end{center}
+
+%
+% Automatons
+%
+
+\pagebreak
+\section{Automatons}
+\begin{tikzpicture}[every initial by arrow/.style={->>}]
+
+  \node[state,initial]  (q_0)                      {$q_0$};
+  \node[state, accepting]          (q_1) [above right=of q_0] {$q_1$};
+  \node[state]          (q_2) [below right=of q_0] {$q_2$};
+  \node[state, accepting]          (q_3) [right=of q_2] {$q_3$};
+
+  \path[->] (q_0) edge                                 node [above left]   {0} (q_1)
+                  edge                                 node [below left]   {1} (q_2)
+            (q_1) edge [loop above]                    node                {0} ()
+            (q_2) edge [loop below]                    node                {1} ()
+            (q_3) edge [bend right=22,looseness=0.8]   node [above]        {0} (q_2)
+            (q_2) edge [bend right=22,looseness=0.8]   node [below]        {0} (q_3);
+\end{tikzpicture}
+
+\end{document}