Slide 115-251 Great Theoretical Ideas in Computer Science Slide 2 Graphs II Lecture 19, October 27, 2009 Slide 3 Recap Slide 4 Theorem: Let G be a graph with n nodes and…

15-251 Great Theoretical Ideas in Computer Science Graphs II Lecture 19, October 26, 2010 Anupam Gupta Danny Sleator Recap The number of labeled trees on n nodes is nn-2…

Applied Combinatorics, 4th Ed. Alan Tucker Section 1.4 Planar Graphs Prepared by Michele Fretta and Jessica Scheld Planar Graphs e a e c d b f Plane graph of Figure 1 Figure…

Slide 1 Planar / Non-Planar Graphs Gabriel Laden CS146 – Spring 2004 Dr. Sin-Min Lee Slide 2 Definitions Planar – graph that can be drawn without edges that intersect…

Slide 1 Computational Geometry Piyush Kumar (Lecture 4: Planar Graphs, Polygons and Art Gallery) Welcome to CIS5930 Slide 2 Definitions Planar Straight Line Graph  No…

The Infamous Five Color Theorem Dan Teague NC School of Science and Mathematics [email protected] 5-coloring of the continental US 5-color vertex coloring of the continental…

2. Region(face) colourings Definitions 46: A edge of the graph is called a bridge, if the edge is not in any circuit. A connected planar graph is called a map, If the graph…

Voronoi Diagram A Captivating Geometrical Construct Presented by: Lamour Roberts Preceptor: Dr. Bruno Guerrieri (Associate Professor of Mathematics) Department of Mathematics,…

Planar Graphs Lecture 10: Oct 21 This Lecture Today we will talk about planar graphs, and how to color a map using 6 colors. Planar graphs Eulerâs formula 6-coloring Map…

Euler's Formula & Platonic Solids Vertices/Nodes: The common endpoint of two or more rays or line segments. Edges: the line segments where two surfaces meet Faces/Regions:…