'Plane graph' presentation slideshows

Drawing Plane Graphs

Drawing Plane Graphs. Takao Nishizeki. Tohoku University. US President. California Governor. US President. California Governor. What is the common feature?. STATION. STATION. STATION. STATION. STATION. ATM-HUB. ATM-RT. ATM-RT. ATM-SW. STATION. STATION. TPDDI. ATM-HUB. ATM-SW.

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Computational Geometry Seminar Lecture 1

Computational Geometry Seminar Lecture 1. Drawing Planar Graphs. Graph. Definition: A Simple Undirected Graph G consists of: A finite set of vertices V( G ). A set E( G ) of sets of 2 vertices, called edges .

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Planar Graphs

Planar Graphs. The clique on 4 nodes. A graph is called planar if it can be drawn in the plane in such a way that no two edges cross. Example of a planar graph:. A graph is called planar if it can be drawn in the plane in such a way that no two edges cross. Example of a planar graph:.

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Box-Rectangular Drawing

Box-Rectangular Drawing. Rida Sadek. Overview. Some definitions and observations Problem: Finding a Box-Rectangular drawing of a graph G Specific Case: given 4 vertices corresponding to corner boxes linear time algorithm General case: no given vertices linear time algorithm

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Graphs II

Graphs II. Recap. Theorem : Let G be a graph with n nodes and e edges. The following are equivalent: G is a tree (connected, acyclic) Every two nodes of G are joined by a unique path G is connected and n = e + 1 G is acyclic and n = e + 1

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Main Menu (Click on the topics below)

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Definition 6.1.7

Definition 6.1.7. Dual Graph G* of a Plane Graph: A plane graph whose vertices corresponding to the faces of G.

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Planar Graphs

Great Theoretical Ideas In Computer Science. Planar Graphs. Lecture 23. CS 15-251. The clique on 4 nodes. A graph is called planar if it can be drawn in the plane in such a way that no two edges cross. Example of a planar graph:. Is K 5 planar?. What about K 3,3 ?.

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Minimum Vertex Cover in Rectangle Graphs

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Assume the result is true for all connected plane graphs with fewer than e edges,

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Outline

Outline. 1 Properties of Planar Graphs. 1 Properties of Planar Graphs. Definition: A graph that can be drawn in the plane without any of its edges intersecting is called a planar graph. A graph that is so drawn in the plane is also said to be embedded (or imbedded ) in the plane.

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Computer Graphics SS 2014 Geometric Models - I

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Vertex orderings

Vertex orderings. Vertex ordering. 16. 13. 14. 12. 15. 11. 10. 4. 9. 8. 5. 6. 3. 7. 2. 1. t = 16. 13. 14. 12. 15. 11. 10. 4. 9. 8. 5. 6. 3. 7. has two neighbors j , k. 2. s = 1. st -numbering. has two neighbors j , k. st -numbering. t = 16. 13. 14.

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5.8 Graph Matching

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5.8 Graph Matching

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Graph Theory Chapter 9 Planar Graphs

Graph Theory Chapter 9 Planar Graphs. ???? (Da-Yeh Univ.) ????? (Dept. CSIE) ??? (Lingling Huang). Outline. 9.1 Properties of Planar Graphs. 9.1 Properties of Planar Graphs. Definition:

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11. ??????????

11. ??????????. ??. ????? ????? ??? ????????? etc. ?????????????????. ??? ??. ?????. ????? (maximum flow problem) ???????????? (network flow problem) ???????????? ?????????????????. 5/5. 4/4. 6/8. 9. 1/2. 9. 0/3. 1/1. 5/5. 3/3. 4/4. ????? ????????????? ??????????

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The Four Color Theorem (4CT)

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A Near-Optimal Planarization Algorithm

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Katia Tellez P. 2 Precalculus 1A Mr. Caballero Fall Semester

PARABOLAS. Katia Tellez P. 2 Precalculus 1A Mr. Caballero Fall Semester. A little History of Parabola. The conic section were discover by a man name Menaechmus during the fourth century B.C. He found out how to solve a problem by doubling a cube using the parabolas.

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