integral unit bar visibility graphs
play

Integral Unit Bar-Visibility Graphs Therese Biedl Ahmad Biniaz - PowerPoint PPT Presentation

Apr 11, 2023 •104 likes •1.75k views

Integral Unit Bar-Visibility Graphs Therese Biedl Ahmad Biniaz Veronika Irvine Philipp Kindermann Anurag Murty Naredla Alexi Turcotte Integral Unit Bar-Visibility Integral Unit Bar-Visibility Integral Unit Bar-Visibility Integral Unit

  1. Integral Unit Bar-Visibility Graphs Therese Biedl Ahmad Biniaz Veronika Irvine Philipp Kindermann Anurag Murty Naredla Alexi Turcotte

  2. Integral Unit Bar-Visibility

  3. Integral Unit Bar-Visibility

  4. Integral Unit Bar-Visibility

  5. Integral Unit Bar-Visibility

  6. Integral Unit Bar-Visibility

  7. Integral Unit Bar-Visibility

  8. Integral Unit Bar-Visibility Strong ⇔

  9. Integral Unit Bar-Visibility Weak Strong ⇒ ⇔

  10. Integral Unit Bar-Visibility Weak Strong ⇒ ⇔

  11. Integral Unit Bar-Visibility Every planar graph, O ( n ) time Weak Strong ⇒ ⇔

  12. Integral Unit Bar-Visibility 3-connected: NP-hard Every planar graph, O ( n ) time Weak Strong ⇒ ⇔

  13. Integral Unit Bar-Visibility 3-connected: NP-hard Triangulation: O ( n ) time Every planar graph, O ( n ) time Weak Strong ⇒ ⇔

  14. Integral Unit Bar-Visibility 3-connected: NP-hard Triangulation: O ( n ) time Every planar graph, 4-connected: O ( n ) time O ( n ) time Weak Strong ⇒ ⇔

  15. Integral Unit Bar-Visibility Weak Strong ⇒ ⇔

  16. Integral Unit Bar-Visibility Weak Strong ⇒ ⇔

  17. Integral Unit Bar-Visibility Characterizations for... Weak Strong ⇒ ⇔

  18. Integral Unit Bar-Visibility Characterizations for... • trees Weak Strong ⇒ ⇔

  19. Integral Unit Bar-Visibility Characterizations for... • trees • complete bipartite Weak Strong ⇒ ⇔

  20. Integral Unit Bar-Visibility Characterizations for... • trees • complete bipartite • outerplanar Weak Strong ⇒ ⇔

  21. Integral Unit Bar-Visibility Characterizations for... • trees • complete bipartite • outerplanar • triangulations Weak Strong ⇒ ⇔

  22. Integral Unit Bar-Visibility Weak Strong ⇒ ⇔

  23. Integral Unit Bar-Visibility 0 1 2 3 4 5 6 7 8 Weak Strong ⇒ ⇔

  24. Integral Unit Bar-Visibility 0 1 2 3 4 5 6 7 8 Weak Strong ⇒ ⇔

  25. Integral Unit Bar-Visibility 0 1 2 3 4 5 6 7 8 Weak Strong ⇒ ⇔

  26. Integral Unit Bar-Visibility 0 1 2 3 4 5 6 7 8 Weak Strong ⇒ ⇔

  27. Integral Unit Bar-Visibility 0 1 2 3 4 5 6 7 8 Weak Strong ⇒ ⇔

  28. Integral Unit Bar-Visibility 0 1 2 3 4 5 6 7 8 Weak Strong ⇒ ⇔

  29. Integral Unit Bar-Visibility 0 1 2 3 4 5 6 7 8 Weak Strong ⇒ ⇔

  30. Integral Unit Bar-Visibility 0 1 2 3 4 5 6 7 8 Weak Strong ⇒ ⇔

  31. Integral Unit Bar-Visibility max-deg 6 0 1 2 3 4 5 6 7 8 Weak Strong ⇒ ⇔

  32. Weak Model ⇒

  33. Weak: Trees, maxdeg 5 v

  34. Weak: Trees, maxdeg 5 v v

  35. Weak: Trees, maxdeg 5 v v

  36. Weak: Trees, maxdeg 5 v v

  37. Weak: Trees, maxdeg 5 v v

  38. Weak: Trees, maxdeg 5 v v

  39. Weak: Trees, maxdeg 5 v v

  40. Weak: Trees, maxdeg 5 v v

  41. Weak: Trees, maxdeg 5 v v

  42. Weak: Trees, maxdeg 5 v v Tree with maxdeg 5 ✗

  43. Weak: Trees, maxdeg 4

  44. Weak: Trees, maxdeg 4

  45. Weak: Trees, maxdeg 4

  46. Weak: Trees, maxdeg 4

  47. Weak: Trees, maxdeg 4

  48. Weak: Trees, maxdeg 4 Tree with maxdeg 4 ✓

  49. Weak: Biconnected Outerplanar, maxdeg 3

  50. Weak: Biconnected Outerplanar, maxdeg 3

  51. Weak: Biconnected Outerplanar, maxdeg 3

  52. Weak: Biconnected Outerplanar, maxdeg 3

  53. Weak: Biconnected Outerplanar, maxdeg 3

  54. Weak: Biconnected Outerplanar, maxdeg 3

  55. Weak: Biconnected Outerplanar, maxdeg 3

  56. Weak: Biconnected Outerplanar, maxdeg 3

  57. Weak: Biconnected Outerplanar, maxdeg 3

  58. Weak: Biconnected Outerplanar, maxdeg 3

  59. Weak: Biconnected Outerplanar, maxdeg 3

  60. Weak: Biconnected Outerplanar, maxdeg 3

  61. Weak: Biconnected Outerplanar, maxdeg 3

  62. Weak: Biconnected Outerplanar, maxdeg 3

  63. Weak: Biconnected Outerplanar, maxdeg 3

  64. Weak: Biconnected Outerplanar, maxdeg 3 Biconnected Outerplanar ✓ with maxdeg 3

  65. Weak: Biconnected Outerplanar, maxdeg 4

  66. Weak: Biconnected Outerplanar, maxdeg 4

  67. Weak: Biconnected Outerplanar, maxdeg 4

  68. Weak: Biconnected Outerplanar, maxdeg 4

  69. Weak: Biconnected Outerplanar, maxdeg 4

  70. Weak: Biconnected Outerplanar, maxdeg 4

  71. Weak: Biconnected Outerplanar, maxdeg 4

  72. Weak: Biconnected Outerplanar, maxdeg 4

  73. Weak: Biconnected Outerplanar, maxdeg 4

  74. Weak: Biconnected Outerplanar, maxdeg 4

  75. Weak: Biconnected Outerplanar, maxdeg 4 Biconnected Outerplanar ✓ with maxdeg 4

  76. Weak: Biconnected Outerplanar, maxdeg 4

  77. Weak: Biconnected Outerplanar, maxdeg 4

  78. Weak: Biconnected Outerplanar, maxdeg 4

  79. Weak: Biconnected Outerplanar, maxdeg 4

  80. Weak: Biconnected Outerplanar, maxdeg 4

  81. Layered Drawings

  82. Layered Drawings

  83. Layered Drawings

  84. Layered Drawings

  85. Layered Drawings consecutive consecutive

  86. Weak: NP-hardness

  87. Weak: NP-hardness

  88. Weak: NP-hardness NP-hard [Heath & Rosenberg]

  89. Weak: NP-hardness NP-hard [Heath & Rosenberg]

  90. Weak: NP-hardness NP-hard [Heath & Rosenberg] P

  91. Weak: NP-hardness Edges:

  92. Weak: NP-hardness Edges:

  93. Weak: NP-hardness Edges: Node block:

  94. Weak: NP-hardness Edges: Node block:

  95. Weak: NP-hardness Edges: Node block:

  96. Weak: NP-hardness Edges: Node block:

  97. Weak: NP-hardness Edges: Node block:

  98. Weak: NP-hardness Edges: Node block:

  99. Weak: NP-hardness Edges: Node block:

  100. Weak: NP-hardness Edges: Node block: Nodes:

Recommend

On Distance Integral Graphs Complete Split Graphs Pokorn y, H c, Stevanovi c, Mil

On Distance Integral Graphs Complete Split Graphs Pokorn y, H c, Stevanovi c, Mil

On Distance Integral Graphs Joe Alameda Summary Things to know Distance Matrices Distance Integral Matrices Trees On Distance Integral Graphs Complete Split Graphs Pokorn y, H c, Stevanovi c, Mil sevi c April 14, 2017

644 views • 33 slides
The Enumeration of Nowhere-Zero Integral Flows on Graphs Matthias Beck, San Francisco State

The Enumeration of Nowhere-Zero Integral Flows on Graphs Matthias Beck, San Francisco State

The Enumeration of Nowhere-Zero Integral Flows on Graphs Matthias Beck, San Francisco State University Thomas Zaslavsky, Binghamton University (SUNY) math.sfsu.edu/beck arXiv:math.CO/0309331 Flows on Graphs A : abelian group A -flow on a

384 views • 34 slides
SEO // visibility is online currency no visibility = no clicks unattractive or spammy titles

SEO // visibility is online currency no visibility = no clicks unattractive or spammy titles

SEO for Visibility, Action & Conversion // Kevin Mullett cirrusabs.com twitter.com/cirrusabs facebook.com/cirrusabs youtube.com/user/cirrusabs linkedin.com/companies/cirrus-abs SEO // visibility is online currency no visibility = no

450 views • 27 slides
Topic 9: Visibility Elementary visibility computations: Clipping Backface culling

Topic 9: Visibility Elementary visibility computations: Clipping Backface culling

Topic 9: Visibility Elementary visibility computations: Clipping Backface culling Algorithms for visibility determination Z-Buffer Painters algorithm Space partitions: BSP, AABB, OOBB, octrees Visibility Problem What is NOT

382 views • 22 slides
On groups all of whose undirected Cayley graphs of bounded valency are integral Istvn Kovcs

On groups all of whose undirected Cayley graphs of bounded valency are integral Istvn Kovcs

On groups all of whose undirected Cayley graphs of bounded valency are integral Istvn Kovcs University of Primorska, Slovenia istvan.kovacs@upr.si Joint work with Istvn Estlyi Modern Trends in Algebraic Graph Theory Villanova

436 views • 16 slides
Visibility Graphs of Staircase Polygons Yulia Alexandr Mentor: Prof. James Abello NSF grant

Visibility Graphs of Staircase Polygons Yulia Alexandr Mentor: Prof. James Abello NSF grant

Visibility Graphs of Staircase Polygons Yulia Alexandr Mentor: Prof. James Abello NSF grant CCF-1559855 Let me remind you We consider a simple non-degenerate collection of points in the plane that produces a polygon v 1 u 1 In

886 views • 24 slides
Width-Optimal Visibility Representations of Plane Graphs Speaker: Chun-Cheng Lin Coauthors:

Width-Optimal Visibility Representations of Plane Graphs Speaker: Chun-Cheng Lin Coauthors:

Width-Optimal Visibility Representations of Plane Graphs Speaker: Chun-Cheng Lin Coauthors: Jia-Hao Fan Hsueh-I Lu Hsu-Chun Yen National Taiwan University, Taipei, Taiwan (Presented at the 18th International Symposium on Algorithms and

1.13k views • 65 slides
Visibility Committee Module #2 Making Use of the Media Created from the Visibility Committee

Visibility Committee Module #2 Making Use of the Media Created from the Visibility Committee

Visibility Committee Module #2 Making Use of the Media Created from the Visibility Committee List of Recommendations 2013-2014 1 TV, Radio, Newspapers, Facebook, Twitter and brochures are all vehicles you can use to increase your visibility

470 views • 8 slides
Cop and Robber Game in a Polygon Anna Lubiw, Hamide Vosoughpour Cheriton School of Computer

Cop and Robber Game in a Polygon Anna Lubiw, Hamide Vosoughpour Cheriton School of Computer

Cop and Robber Game in a Polygon Anna Lubiw, Hamide Vosoughpour Cheriton School of Computer Science University of Waterloo Cop and Robber Game in Polygons Visibility Graphs Dismantlable Graphs Visibility Graph V = vertices E = ( u , v ): u

692 views • 24 slides
Data and Graphs Creating a Pictograph Bar Graphs Creating a Bar Graph Line Plots

Data and Graphs Creating a Pictograph Bar Graphs Creating a Bar Graph Line Plots

Slide 1 / 126 Slide 2 / 126 3rd Grade Graphs 2015-11-03 www.njctl.org Slide 3 / 126 Slide 4 / 126 Graphs Unit Topics Click on the topic to go to that section Data & Graphs Tally and Frequency Tables Creating a Tally and

462 views • 21 slides
1 Usages for From-Region visibility Conservative Visibility Sets Amortization: Exact

1 Usages for From-Region visibility Conservative Visibility Sets Amortization: Exact

From-Region Visibility and Overview Ray Space Factorization Short introduction to the problem Daniel Cohen-Or Dual Space & Parameter/Ray Space Tel-Aviv University Ray space factorization (SIGGRAPH03) From Point Visibility

546 views • 13 slides
Some Fra ss e Classes of Finite Integral Cherlin Metric Spaces Metrically Ho- mogeneous

Some Fra ss e Classes of Finite Integral Cherlin Metric Spaces Metrically Ho- mogeneous

Some Fra ss e Classes of Finite Integral Metric Spaces Gregory Some Fra ss e Classes of Finite Integral Cherlin Metric Spaces Metrically Ho- mogeneous Graphs Finite Distance Transitive Graphs Homogeneous Gregory Cherlin

467 views • 34 slides
A new formula for Stanleys chromatic symmetric function for unit interval graphs and e

A new formula for Stanleys chromatic symmetric function for unit interval graphs and e

A new formula for Stanleys chromatic symmetric function for unit interval graphs and e -positivity for triangular ladder graphs Samantha Dahlberg Arizona State University FPSAC July 2, 2019 Overview 1 Chromatic symmetric functions. 2 The (3

283 views • 25 slides
Visible Integral-Field Replicable Unit Spectrographs (VIRUS) E M I L Y M A R T I N T H A N K S

Visible Integral-Field Replicable Unit Spectrographs (VIRUS) E M I L Y M A R T I N T H A N K S

Production and Alignment of the Visible Integral-Field Replicable Unit Spectrographs (VIRUS) E M I L Y M A R T I N T H A N K S T O : T E X A S A & M U N I V E R S I T Y D R . J E N N I F E R M A R S H A L L P H Y S I C S , 2 0 1 2

306 views • 14 slides
Weak Unit Disk Contact Representations for Graphs without Embedding Jonas Cleve, Freie

Weak Unit Disk Contact Representations for Graphs without Embedding Jonas Cleve, Freie

Weak Unit Disk Contact Representations for Graphs without Embedding Jonas Cleve, Freie Universitt Berlin EuroCG 2020 March 1618 Wrzburg, Germany Unit Disk Contact Representations Unit disk contact representation (UDCR) of G = ( V ,

823 views • 71 slides
Pursuit-evasion games and visibility Danny Dyer Department of Mathematics and Statistics

Pursuit-evasion games and visibility Danny Dyer Department of Mathematics and Statistics

Pursuit-evasion games and visibility Danny Dyer Department of Mathematics and Statistics Memorial University of Newfoundland Graphs, groups, and more: celebrating Brian Alspachs 80th and Dragan Maru si cs 65th birthdays Koper,

751 views • 64 slides
The Visibility Skeleton Frdo Durand, George Drettakis, Claude Puech Visibility Skeleton Graph

The Visibility Skeleton Frdo Durand, George Drettakis, Claude Puech Visibility Skeleton Graph

The Visibility Skeleton Frdo Durand, George Drettakis, Claude Puech Visibility Skeleton Graph of visual events (visibility changes): Nodes Extremal stabbing lines (0D). Arcs Critical line sets or line swaths (1D). Generator

379 views • 10 slides
The Definite Integral The definite integral generalizes the concept of area. The Definite Integral

The Definite Integral The definite integral generalizes the concept of area. The Definite Integral

The Definite Integral The definite integral generalizes the concept of area. The Definite Integral The definite integral generalizes the concept of area. Lets begin with the physical intuition of this idea. The Definite Integral The definite

583 views • 40 slides
Graphs () Graphs () Graphs Graphs Graphs are collections of nodes

Graphs () Graphs () Graphs Graphs Graphs are collections of nodes

Graphs () Graphs () Graphs Graphs Graphs are collections of nodes in which various pairs are connected by K08 line segments. The

627 views • 17 slides
Graphs Graphs Examples Definitions Implementation/Representation of graphs Graphs

Graphs Graphs Examples Definitions Implementation/Representation of graphs Graphs

CS171 Introduction to Computer Science II Science II Graphs Graphs Examples Definitions Implementation/Representation of graphs Graphs Graphs: set of vertices connected pairwise by edges Interesting and useful structure

346 views • 30 slides
Approximate Maximum Cliques in Disk and Unit Ball Graphs Nicolas Bousquet with M. Bonamy, E.

Approximate Maximum Cliques in Disk and Unit Ball Graphs Nicolas Bousquet with M. Bonamy, E.

Approximate Maximum Cliques in Disk and Unit Ball Graphs Nicolas Bousquet with M. Bonamy, E. Bonnet 1 , P. Charbit, S. Thomass e S eminaire OC 1. Thanks to Edouard Bonnet for most of the figures. 1/16 Disk graphs A disk graph is the

830 views • 61 slides
1 4 1. Visibility culling What is it for? Avoid processing polygons which do not

1 4 1. Visibility culling What is it for? Avoid processing polygons which do not

Visibility Techniques V1.2.1 Anthony Steed Anthony Steed Based on slides from Celine Loscos (v1.1), Anthony Steed (v0.1), Several Others Goals: The Visibility Problem The average number of polygons visible from a view point is much

505 views • 25 slides
Vertical Visibility among Parallel Polygons in Three Dimensions GD 2015 Radoslav Fulek (IST,

Vertical Visibility among Parallel Polygons in Three Dimensions GD 2015 Radoslav Fulek (IST,

Vertical Visibility among Parallel Polygons in Three Dimensions GD 2015 Radoslav Fulek (IST, Austria), Rado s Radoi ci c (CUNY) Visibility clique Visibility clique We consider a finite set S of translates/homothetes of two dimensional

822 views • 71 slides
ON CONFIGURATION SPACE INTEGRAL OF SMOOTH SPHERE BUNDLES Tadayuki WATANABE RIMS, Kyoto

ON CONFIGURATION SPACE INTEGRAL OF SMOOTH SPHERE BUNDLES Tadayuki WATANABE RIMS, Kyoto

ON CONFIGURATION SPACE INTEGRAL OF SMOOTH SPHERE BUNDLES Tadayuki WATANABE RIMS, Kyoto University Apr. 02, 2008 Aarhus, CTQM Workshop Finite Type Invariants, Fat graphs and Torelli-Johnson-Morita Theory 1 1. INTRODUCTION FUNDAMENTAL

713 views • 40 slides

More recommend