Abschnitt Name Beschreibung
Themen und Vorlesungen Datei Lecture #1: Introduction
Datei Lecture #1: Introduction short
Datei Lecture #1: Divide and Conquer Algorithms for Trees and Series-Parallel Graphs
Datei Lecture #1: Divide and Conquer Algorithms for Trees and Series-Parallel Graphs short
Datei Lecture #2: Force-Directed Algorithms
Datei Lecture #2: Force-Directed Algorithms short
Datei Lecture #3: Planar straight-line drawings with shift method
Datei Lecture #3: Planar straight-line drawings with shift method short
Datei Lecture #4: Planar Straight-Line Drawings with Schnyder Woods
Datei Lecture #4: Planar Straight-Line Drawings with Schnyder Woods short
Datei Lecture #5: Orthogonal Layouts
Datei Lecture #5: Orthogonal Layouts short
Datei Lecture #6: Upward Planar Drawings
Datei Lecture #6: Upward Planar Drawings short
Datei Lecture video #6a: Upward Planarity Intro
Datei Lecture video #6b: Upward Planarity Testing
Datei Lecture #7: Hierarchical Layouts
Datei Lecture #7: Hierarchical Layouts short
Datei Lecture #8: Contact Representations
Datei Lecture #8: Contact Representations short
Datei Lecture #9: SPQR-trees and Partial Bar Visibility Representation Extension
Datei Lecture #9: SPQR-trees and Partial Bar Visibility Representation Extension short
Datei Lecture #10: The Crossing Lemma
Datei Lecture #10: The Crossing Lemma short
Datei Lecture #11: Beyond Planarity
Datei Lecture #11: Beyond Planarity short
Datei Lecture #12: Octilinear Graph Drawing of Metro Maps
Datei Lecture #12: Octilinear Graph Drawing of Metro Maps short
Literatur und zusätzliche Materialien Link/URL Lecture #1 Supplemental Material: Compendium of Drawing Methods for Trees
Link/URL Lecture #1 [Reingold and Tilford 1981] Tidier Drawings of Trees
Link/URL Lecture #1 [Supowit and Reingold 1983] The complexity of drawing trees nicely

This paper shows that one can use LP-based methods to minimize the width of a "balanced-layered" drawing of tree, but if one desires a grid drawing the problem becomes NP-hard. 
Link/URL Lecture #2 Web demo for force-directed approaches

Implemented by Philipp Kindermann.

Another website is this one here http://www.yasiv.com/graphs#
which also has a live demo environment (with configurable constants) and many example graphs drawn via force-directed methods. 
Link/URL Lecture #4 [Schnyder 1990] Embedding Planar Graphs on the Grid
Link/URL Lecture #5 [Patrignani 2001] On the complexity of orthogonal compaction

Lecture #3: reference for the NP-hardness proof regarding optimally "compactifying" an orthogonal drawing of an embedded graph. 
Link/URL Lecture #8 [de Fraysseix, de Mendez, Rosenstiehl 1994] On Triangle Contact Graphs
Link/URL Lecture #8 [He 1993] On Finding the Rectangular Duals of Planar Triangular Graphs
Link/URL Lecture #8 [Kant and He 1994] Two algorithms for finding rectangular duals of planar graphs
Link/URL Lecture #9 [CGGKL18] The Partial Visibility Representation Extension Problem
Link/URL Lecture #10 [Székely 1997] Crossing numbers and hard Erdős problems in discrete geometry

This paper contains several applications of the crossing lemma. Be warned that the presentation is a bit dense at times. 
Link/URL Lecture #10 [Bienstock and Dean 1993] Bounds for rectilinear crossing numbers
Link/URL Lecture #10 [Schaefer 2020] The Graph Crossing Number and its Variants: A Survey
Link/URL Lecture #10 Terry Tao's blog on Crossing Numbers

Terry Tao's blog entry on the crossing inequality. 
Link/URL Lecture #10 Movie "N Is a Number: A Portrait of Paul Erdös"
Link/URL Lecture #12 [Nöl14] A Survey on Automated Metro Map Layout Methods
Datei Lecture #1-12: Bonus Summary