Video Converter
Audio Converter
Image Converter
PDF Converter
File Compressor
drawing subcubic 1 planar graphs with few bends few

Drawing Subcubic 1-Planar Graphs with Few Bends, Few Slopes, and - PowerPoint PPT Presentation

Feb 04, 2023 •173 likes •1.63k views

Drawing Subcubic 1-Planar Graphs with Few Bends, Few Slopes, and Large Angles Philipp Kindermann Cheriton School of Computer Science University of Waterloo Joint work with Fabrizio Montecchiani, Lena Schlipf, and Andr e Schulz Slope

  1. Cubic 3-Connected ⇒ 1 Bend, 4 Slopes V 2 v 2 v 1 V 2 : real vertex v 1 v 2

  2. Cubic 3-Connected ⇒ 1 Bend, 4 Slopes V 2 v 2 v 1 V 2 : real vertex v 1 v 2

  3. Cubic 3-Connected ⇒ 1 Bend, 4 Slopes V 2 v 2 v 1 V 2 : real vertex dummy vertex v 1 v 2

  4. Cubic 3-Connected ⇒ 1 Bend, 4 Slopes V 2 v 2 v 1 V 2 : real vertex dummy vertex v 1 v 2 v 1 v 2

  5. Cubic 3-Connected ⇒ 1 Bend, 4 Slopes V 2 v 2 v 1 V 2 : real vertex dummy vertex chain v 1 v 2 v 1 v 2

  6. Cubic 3-Connected ⇒ 1 Bend, 4 Slopes V 2 v 2 v 1 V 2 : real vertex dummy vertex chain v 1 v 2 v 1 v 1 v 2 v 2

  7. Cubic 3-Connected ⇒ 1 Bend, 4 Slopes V 2 v 2 v 1 V 2 : real vertex dummy vertex chain v 1 v 2 v 1 v 1 v 2 v 2 V i :

  8. Cubic 3-Connected ⇒ 1 Bend, 4 Slopes V 2 v 2 v 1 V 2 : real vertex dummy vertex chain v 1 v 2 v 1 v 1 v 2 v 2 V i :

  9. Cubic 3-Connected ⇒ 1 Bend, 4 Slopes V 2 v 2 v 1 V 2 : real vertex dummy vertex chain v 1 v 2 v 1 v 1 v 2 v 2 V i :

  10. Cubic 3-Connected ⇒ 1 Bend, 4 Slopes V 2 v 2 v 1 V 2 : real vertex dummy vertex chain v 1 v 2 v 1 v 1 v 2 v 2 V i :

  11. Cubic 3-Connected ⇒ 1 Bend, 4 Slopes V 2 v 2 v 1 V 2 : real vertex dummy vertex chain v 1 v 2 v 1 v 1 v 2 v 2 V i :

  12. Cubic 3-Connected ⇒ 1 Bend, 4 Slopes V 2 v 2 v 1 V 2 : real vertex dummy vertex chain v 1 v 2 v 1 v 1 v 2 v 2 V i :

  13. Cubic 3-Connected ⇒ 1 Bend, 4 Slopes V 2 v 2 v 1 V 2 : real vertex dummy vertex chain v 1 v 2 v 1 v 1 v 2 v 2 V i :

  14. Cubic 3-Connected ⇒ 1 Bend, 4 Slopes V 2 v 2 v 1 V 2 : real vertex dummy vertex chain v 1 v 2 v 1 v 1 v 2 v 2 V i :

  15. Cubic 3-Connected ⇒ 1 Bend, 4 Slopes V 2 v 2 v 1 V 2 : real vertex dummy vertex chain v 1 v 2 v 1 v 1 v 2 v 2 V i :

  16. Cubic 3-Connected ⇒ 1 Bend, 4 Slopes V 2 v 2 v 1 V 2 : real vertex dummy vertex chain v 1 v 2 v 1 v 1 v 2 v 2 V i :

  17. Cubic 3-Connected ⇒ 1 Bend, 4 Slopes V 2 v 2 v 1 V 2 : real vertex dummy vertex chain v 1 v 2 v 1 v 1 v 2 v 2 V i :

  18. Cubic 3-Connected ⇒ 1 Bend, 4 Slopes V 2 : real vertex dummy vertex chain v 1 v 2 v 1 v 1 v 2 v 2 V i :

  19. Cubic 3-Connected ⇒ 1 Bend, 4 Slopes V 2 : real vertex dummy vertex chain v 1 v 2 v 1 v 1 v 2 v 2 V i :

  20. Cubic 3-Connected ⇒ 1 Bend, 4 Slopes V 2 : real vertex dummy vertex chain v 1 v 2 v 1 v 1 v 2 v 2 V i :

  21. Cubic 3-Connected ⇒ 1 Bend, 4 Slopes V 2 : real vertex dummy vertex chain v 1 v 2 v 1 v 1 v 2 v 2 V i :

  22. Cubic 3-Connected ⇒ 1 Bend, 4 Slopes V 2 : real vertex dummy vertex chain v 1 v 2 v 1 v 1 v 2 v 2 V i :

  23. Cubic 3-Connected ⇒ 1 Bend, 4 Slopes V 2 : real vertex dummy vertex chain v 1 v 2 v 1 v 1 v 2 v 2 V i :

  24. Cubic 3-Connected ⇒ 1 Bend, 4 Slopes V 2 : real vertex dummy vertex chain v 1 v 2 v 1 v 1 v 2 v 2 V i :

  25. Cubic 3-Connected ⇒ 1 Bend, 4 Slopes V 2 : real vertex dummy vertex chain v 1 v 2 v 1 v 1 v 2 v 2 V i :

  26. Cubic 3-Connected ⇒ 1 Bend, 4 Slopes V 2 : real vertex dummy vertex chain v 1 v 2 v 1 v 1 v 2 v 2 V i :

  27. Cubic 3-Connected ⇒ 1 Bend, 4 Slopes V 2 : real vertex dummy vertex chain v 1 v 2 v 1 v 1 v 2 v 2 V i :

  28. Cubic 3-Connected ⇒ 1 Bend, 4 Slopes V 2 : real vertex dummy vertex chain v 1 v 2 v 1 v 1 v 2 v 2 V i :

  29. Cubic 3-Connected ⇒ 1 Bend, 4 Slopes V 2 : real vertex dummy vertex chain v 1 v 2 v 1 v 1 v 2 v 2 V i :

  30. Cubic 3-Connected ⇒ 1 Bend, 4 Slopes V 2 : real vertex dummy vertex chain v 1 v 2 v 1 v 1 v 2 v 2 V i :

  31. Cubic 3-Connected ⇒ 1 Bend, 4 Slopes V 2 : real vertex dummy vertex chain v 1 v 2 v 1 v 1 v 2 v 2 V i :

  32. Cubic 3-Connected ⇒ 1 Bend, 4 Slopes V 2 : real vertex dummy vertex chain v 1 v 2 v 1 v 1 v 2 v 2 V i :

  33. Cubic 3-Connected ⇒ 1 Bend, 4 Slopes V 2 : real vertex dummy vertex chain v 1 v 2 v 1 v 1 v 2 v 2 V i :

  34. Cubic 3-Connected ⇒ 1 Bend, 4 Slopes V 2 : real vertex dummy vertex chain v 1 v 2 v 1 v 1 v 2 v 2 V i :

  35. Cubic 3-Connected ⇒ 1 Bend, 4 Slopes V 2 : real vertex dummy vertex chain v 1 v 2 v 1 v 1 v 2 v 2 V i :

Recommend

Compact Drawings of 1-Planar Graphs with Right-Angle Crossings and Few Bends Steven Chaplick,

Compact Drawings of 1-Planar Graphs with Right-Angle Crossings and Few Bends Steven Chaplick,

Compact Drawings of 1-Planar Graphs with Right-Angle Crossings and Few Bends Steven Chaplick, Fabian Lipp, Alexander Wolff, and Johannes Zink Introduction: Beyond-Planar Graphs 2 Types of drawings: Planar: No crossings Introduction:

1.55k views • 139 slides
Planar Subdivision Let G =( V , E ) be an undirected graph. G is planar if it can be embedded

Planar Subdivision Let G =( V , E ) be an undirected graph. G is planar if it can be embedded

Planar Subdivision Let G =( V , E ) be an undirected graph. G is planar if it can be embedded in the plane without edge crossings. planar K 5 , not planar K 3,3 , not planar A planar embedding (=drawing) of a planar graph G induces

266 views • 5 slides
Planar Lombardi Drawings for Subcubic Graphs David Eppstein 20th International Symposium on Graph

Planar Lombardi Drawings for Subcubic Graphs David Eppstein 20th International Symposium on Graph

Planar Lombardi Drawings for Subcubic Graphs David Eppstein 20th International Symposium on Graph Drawing Redmond, Washington, September 1921, 2012 Mark Lombardi American neo-conceptual fine artist (19512000) Narrative structures,

380 views • 23 slides
Coloring Algorithms on Subcubic Graphs Harold N. Gabow, San Skulrattanakulchai

Coloring Algorithms on Subcubic Graphs Harold N. Gabow, San Skulrattanakulchai

Coloring Algorithms on Subcubic Graphs Harold N. Gabow, San Skulrattanakulchai hal@cs.colorado.edu, skulratt@cs.colorado.edu University of Colorado at Boulder Colorado, USA Coloring Algorithms on Subcubic Graphs p.1/56 Introduction Graph

1.2k views • 78 slides
Order - disorder operators in planar and almost planar graphs (2) Hugo Duminil-Copin, I.H. E.S.

Order - disorder operators in planar and almost planar graphs (2) Hugo Duminil-Copin, I.H. E.S.

Order - disorder operators in planar and almost planar graphs (2) Hugo Duminil-Copin, I.H. E.S. Hugo Duminil-Copin, I.H. Order - disorder operators in planar and almost planar graphs (2) E.S. The main statement Consider the Isings

849 views • 62 slides
Drawing Planar Graphs via Dessins dEnfants Kevin Bowman, Sheena Chandra, Anji Li and Amanda

Drawing Planar Graphs via Dessins dEnfants Kevin Bowman, Sheena Chandra, Anji Li and Amanda

Drawing Planar Graphs via Dessins dEnfants Kevin Bowman, Sheena Chandra, Anji Li and Amanda Llewellyn PRiME 2013: Purdue Research in Mathematics Experience, Purdue University July 21, 2013 Drawing Planar Graphs via Dessins dEnfants July

368 views • 25 slides
LAGOS 2017 Delta-Wye Transformations and the Efficient Reduction of Almost-Planar Graphs Isidoro

LAGOS 2017 Delta-Wye Transformations and the Efficient Reduction of Almost-Planar Graphs Isidoro

Almost-planar graphs Deltawye reduction of almost-planar graph Almost-planar graphs on the projective plane Deltawye reduction with terminals of almost-planar graphs Future Research LAGOS 2017 Delta-Wye Transformations and the Efficient

1.3k views • 45 slides
1-Bend RAC Drawings of NIC-Planar Graphs in Quadratic Area Steven Chaplick, Fabian Lipp,

1-Bend RAC Drawings of NIC-Planar Graphs in Quadratic Area Steven Chaplick, Fabian Lipp,

1-Bend RAC Drawings of NIC-Planar Graphs in Quadratic Area Steven Chaplick, Fabian Lipp, Alexander Wolff, and Johannes Zink Beyond-Planar Graphs 2 Types of Drawings: Planar: No crossings Beyond-Planar Graphs 2 Types of Drawings:

1.12k views • 107 slides
Chapter 12 and 11.1 Planar graphs, regular polyhedra, and graph colorings Prof. Tesler Math

Chapter 12 and 11.1 Planar graphs, regular polyhedra, and graph colorings Prof. Tesler Math

Chapter 12 and 11.1 Planar graphs, regular polyhedra, and graph colorings Prof. Tesler Math 184A Winter 2019 Prof. Tesler Ch. 12: Planar Graphs Math 184A / Winter 2019 1 / 46 12.112.2. Planar graphs Definition A planar embedding of a

628 views • 46 slides
Chapter 7 Planar graphs In full: 7.17.3 Parts of: 7.4, 7.67.8 Skip: 7.5 Prof. Tesler

Chapter 7 Planar graphs In full: 7.17.3 Parts of: 7.4, 7.67.8 Skip: 7.5 Prof. Tesler

Chapter 7 Planar graphs In full: 7.17.3 Parts of: 7.4, 7.67.8 Skip: 7.5 Prof. Tesler Math 154 Winter 2020 Prof. Tesler Ch. 7: Planar Graphs Math 154 / Winter 2020 1 / 52 Planar graphs Definition A planar embedding of a graph is a

1.02k views • 52 slides
1-Fan-Bundle-Planar Drawings of Graphs Patrizio Angelini Michael A. Bekos Michael Kaufmann

1-Fan-Bundle-Planar Drawings of Graphs Patrizio Angelini Michael A. Bekos Michael Kaufmann

1-Fan-Bundle-Planar Drawings of Graphs Patrizio Angelini Michael A. Bekos Michael Kaufmann Philipp Kindermann Thomas Schneck Beyond Planarity Planar Beyond Planarity 1-planar Beyond Planarity 2-planar Beyond Planarity k -planar Beyond

2.2k views • 162 slides
Planar Algebras and Subfactors Tangle Planar algebra Connection with subfactor Subfactor

Planar Algebras and Subfactors Tangle Planar algebra Connection with subfactor Subfactor

What is a planar algebra? Connection with subfactor A canonical MASA (maximal abelian self-adjoint subalgebra) Planar Algebras and Subfactors Arnaud Brothier What is a planar algebra? Planar calculus Planar Algebras and Subfactors Tangle

572 views • 40 slides
Cubic Planar Graphs That Cannot Be Drawn On Few Lines David Eppstein University of California,

Cubic Planar Graphs That Cannot Be Drawn On Few Lines David Eppstein University of California,

Cubic Planar Graphs That Cannot Be Drawn On Few Lines David Eppstein University of California, Irvine Symposium on Computational Geometry, June 2019 Planar graph drawing on one line Always possible using 2 semicircles per edge Planar graph

437 views • 16 slides
8.7 PLANAR GRAPHS def: A graph is planar if it can be drawn with- out edge-crossings in the

8.7 PLANAR GRAPHS def: A graph is planar if it can be drawn with- out edge-crossings in the

8.7.1 Section 8.7 Planar Graphs 8.7 PLANAR GRAPHS def: A graph is planar if it can be drawn with- out edge-crossings in the plane. Given a graph G and a Imbedding Problem: surface S , is it possible to draw G on S without any

378 views • 18 slides
11/4-colorability of subcubic triangle-free graphs Zden ek Dvo r ak Bernard Lidick y

11/4-colorability of subcubic triangle-free graphs Zden ek Dvo r ak Bernard Lidick y

11/4-colorability of subcubic triangle-free graphs Zden ek Dvo r ak Bernard Lidick y Luke Postle AMS October 10, 2020 Motivation Theorem (4CT - Appel, Haken (1976)) Every planar graph is 4 -colorable. Also Robertson, Sanders,

959 views • 53 slides
CMSC427 Drawing and parametric curves T odays topics Where drawing

CMSC427 Drawing and parametric curves T odays topics Where drawing

CMSC427 Drawing and parametric curves T odays topics Where drawing happens: CPU vs. GPU Drawing a line Basics of drawing: putting a pixel PUTPIXEL(X,Y,R,G,B,A) Basics of drawing:

480 views • 36 slides
Inter-Integrated Circuit (I 2 C) Interface By: Surya Teja Gunukula Hawzhin Raoof Mohammed 1

Inter-Integrated Circuit (I 2 C) Interface By: Surya Teja Gunukula Hawzhin Raoof Mohammed 1

Inter-Integrated Circuit (I 2 C) Interface By: Surya Teja Gunukula Hawzhin Raoof Mohammed 1 Contents 1. The I 2 C Protocol 2. Characteristics of I 2 C Protocol 3. I 2 C Data Transfer Signal Components 4. Data Transfer Format 5. Registers for

856 views • 67 slides
Announcements Midterm is Thursday, February 24 in class Midterm 2 covers chapters 5 through 8,

Announcements Midterm is Thursday, February 24 in class Midterm 2 covers chapters 5 through 8,

Announcements Midterm is Thursday, February 24 in class Midterm 2 covers chapters 5 through 8, lectures 1-20-11 through 2-10-11 Dont forget a scantron sheet and a calculator Office hours this week: today 2pm-5pm, tomorrow 9am-noon J.

299 views • 28 slides
Browser history re :visited Michael Smith Craig Disselkoen Shravan Narayan Fraser Brown

Browser history re :visited Michael Smith Craig Disselkoen Shravan Narayan Fraser Brown

Browser history re :visited Michael Smith Craig Disselkoen Shravan Narayan Fraser Brown * Deian Stefan UC San Diego * Stanford University Web Content Web Content sandboxing Web Content history history history data data

1.49k views • 134 slides
Regression in Stata Alicia Doyle Lynch Harvard-MIT Data Center (HMDC) Documents for Today

Regression in Stata Alicia Doyle Lynch Harvard-MIT Data Center (HMDC) Documents for Today

Regression in Stata Alicia Doyle Lynch Harvard-MIT Data Center (HMDC) Documents for Today Find class materials at: http://libraries.mit.edu/guides/subjects/data/ training/workshops.html Several formats of data Presentation slides

884 views • 56 slides
Minority Earnings Disparity 1995-2005 1995-2005 Krishna Pendakur and Ravi Pendakur Simon Fraser

Minority Earnings Disparity 1995-2005 1995-2005 Krishna Pendakur and Ravi Pendakur Simon Fraser

Minority Earnings Disparity 1995-2005 1995-2005 Krishna Pendakur and Ravi Pendakur Simon Fraser University and University of Ottawa Introduction What happened to visible minority and Aboriginal earnings disparity over 1995- 2005?

420 views • 25 slides
Cross-lingual Dependency Parsing of Related Languages with Rich Morphosyntactic Tagsets eljko

Cross-lingual Dependency Parsing of Related Languages with Rich Morphosyntactic Tagsets eljko

Cross-lingual Dependency Parsing of Related Languages with Rich Morphosyntactic Tagsets eljko Agi, Jrg Tiedemann Kaja Dobrovoljc, Simon Krek, Danijela Merkler, Sara Moe LT4CloseLang / Doha, Qatar, 2014-10-29 Introduction How to parse a

151 views • 13 slides
eMCee web API tester Norbert Hartl 2denker What we do... ...at 2denker mobile applications

eMCee web API tester Norbert Hartl 2denker What we do... ...at 2denker mobile applications

eMCee web API tester Norbert Hartl 2denker What we do... ...at 2denker mobile applications backend services for mobile applications backend services for b2b all services are REST or SOAP Interface life cycle definition interface between

660 views • 27 slides
Add Type Awareness to File Systems Daniel Peek Jason Flinn Facebook University of Michgan

Add Type Awareness to File Systems Daniel Peek Jason Flinn Facebook University of Michgan

TrapperKeeper: The Case for Using Virtualization to Add Type Awareness to File Systems Daniel Peek Jason Flinn Facebook University of Michgan Trapper Keeper Need access to type-specific metadata Searching, Organization, Presentation

314 views • 19 slides

More recommend

Explore More Topics

Stay informed with curated content and fresh updates.

animals pets art culture automotive transportation business finance computer internet construction architecture education-career electronics communication

Logo Sambuz

Unleash a World of Digital Possibilities—Browse, Share, and Explore Content Without Boundaries

Useful Links

About Us Privacy Services FAQ's Contact

Newsletter

Stay Informed & Inspired—Subscribe for the Latest Updates, Tips, and Exclusive Content Directly to Your Inbox.

Mail Us

mail@sambuz.com

2026 SAMBUZ, All right reserved.