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

1. Chapter 6Graph Theory R. Johnsonbaugh Discrete Mathematics 5 thedition, 2001 2. 6.1Introduction What is a graph G?It is a pair G = (V, E), where V = V(G) = set of vertices…

1. GRAPH 2. What is a Graph?• A graph G = (V,E) is composed of:V: set of verticesE: set of edges connecting the vertices in V• An edge e = (u,v) is a pair of vertices•…

GRAPH THEORY What is a graph? A graph is a set of points in a plane (or in 3-space) and a set of line segments (possibly curved), each of which either joins two points or…

1. GRAPH 2. GraphA graph G = (V,E) is composed of: V: set of vertices E: set of edges connecting the vertices in VAn edge e = (u,v) is a pair of verticesExample:ab V= {a,b,c,d,e}…

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…

1. Graph Theory A.Benedict Balbuena Institute of Mathematics, University of the Philippines in Diliman 8.2.2008 A.B.C.Balbuena (UP-Math) Graph Theory 8.2.2008 1 / 47 2. Definitions…

Slide 1CPSC 411 Design and Analysis of Algorithms Set 4: Greedy Algorithms Prof. Jennifer Welch Spring 2011 CPSC 411, Spring 2011: Set 4 1 Slide 2 2 Greedy Algorithm Paradigm…

Slide 1CSE 211 Discrete Mathematics Introduction to Graphs Chapter 8- Rosen Chapter 8,9- Schaums Outlines Slide 2 What is Graph? A graph G = (V, E) consists of a set of objects…

Slide 11 Approximability Results for Induced Matchings in Graphs David Manlove University of Glasgow Joint work with Billy Duckworth Michele Zito Macquarie University University…