Simple Graph

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Table of Contents

PPT Slide

Simple Graph

A simple graph

A simple graph

A simple graph

A Non-Simple Graph

A Multigraph

Multiple Edges

Another Non-Simple Graph

A Pseudograph

Loops

Undirected Graphs

A Directed Graph

A Directed Graph

A Directed Multigraph

A Directed Multigraph

Types of Graphs

Adjacent Vertices (Neighbors)

Degree of a vertex

Degree of a vertex

Degree of a vertex

Degree of a vertex

Degree of a vertex

Degree of a vertex

Degree of a vertex

Handshaking Theorem

Subgraph

C5 is a subgraph of K5

Union

W5 is the union of S5 and C5

Homework

Adjacency Matrix

Finding the adjacency matrix

Finding the adjacency matrix

Finding the adjacency matrix

Finding the adjacency matrix

Finding the adjacency matrix

Finding the adjacency matrix

Path of Length n

One path from a to e

One path from a to a

Path of Length n

Theorem 1

Paths of Length r between Vertices

Homework

ACKNOWLEDGMENT:

Author: Sylvia Sorkin

Email: ssorkin@ccbc.cc.md.us

Home Page: http://student.ccbc.cc.md.us/~ssorkin/index.html

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