August 2008
Beginner to intermediate
568 pages
12h 1m
English
Content preview from Discrete Mathematics and Combinatorics
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Chapter 9
Graph Theory
Learning Objectives
On completing this chapter, you should be able to:
define the notions of a graph, directed graph and a simple graph
define and calculate the degree of a vertex in a graph
define the concept of a connected graph
define the notions of walks and paths connecting two vertices of a given graph
identify connected graphs
identify the connected components of a graph, which is not connected
define the notion of bipartite graphs
define the notion of a tree
prove simple results on connected graphs
prove simple results on trees
define the notion of an Euler graph
prove the characterization of an Euler graph
9.1 INTRODUCTION AND MOTIVATION
Example 9.1
Graphs can be used to show the inter-connectivity among ...
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