Graph Theory Contents • • • • • • • • • What is Graph Theory??? Who made this? Polyhedra and networks Applications of graphs Definitions Examples Multigraph…

1. Graph Theory Graphs are discrete structures consisting of vertices and edges that connects these vertices. There are several types of graphs that differ with respect to…

Slide 1Chapter 11 Trees Graphs III (Trees, MSTs) Reading: Epp Chp 11.5, 11.6 Slide 2 Outline 1.Trees 1.1 Definition of a tree. 1.2 Examples of trees. 1.3 Theorem #1: Tree…

Slide 1CSE 211 Discrete Mathematics and Its Applications Chapter 8.7 Planar Graphs Slide 2 The House-and-Utilities Problem Slide 3 Planar Graphs Consider the previous slide.…

Slide 1Jennifer Tour Chayes Joint work with N. Berger, C. Borgs, A. Ganesh, A. Saberi, D. B. Wilson Controlling the Spread of Viruses on Power-Law Networks Slide 2 The Internet…

Slide 1 Slide 2 1 Scale Free Networks Slide 3 2 Intro Very large real networks (millions or billions of nodes and edges) Occurring in nature, society, economy and technology…

Slide 11 Discrete Math Graphs, representation, isomorphism, connectivity Slide 2 Adjacent  The vertices u and v in a undirected graph are adjacent when there are endpoints…

1.Graphs Part-II2. Topics in discussion Introduction to graphs Directed and undirected graphs Paths Connected graphs Trees Degree Isomorphic graphs…

1.Planar Graphs in2 2 1/ Dimensions Don Sheehy1 2. 2 21/ Dimensions2 3. Cast of Characters Ernst Steinitz James Clerk MaxwellW. T. Tutte Luigi Cremona 3 4. Planar Graphs…

1. CHAPTER 11 Coping with NP-completeness 2. Algorithm 11.1.4 Largest Independent Set This algorithm returnsα (G), the size of a largest independent set inG= ( V ,E ). Input…