Graph Theory Lessons

The entire 23 lessons of Graph Theory that utilizes a java software as an investigative tool. The software can draw, edit and manipulate simple graphs, examine properties of the graphs, and demonstrate them using computer animation.

**Tag(s):**
Graph Theory

**Publication date**: 01 Jun 2004

**ISBN-10**:
n/a

**ISBN-13**:
n/a

**Paperback**:
n/a

**Views**: 26,226

**Type**: Textbook

**Publisher**:
n/a

**License**:
n/a

**Post time**: 26 Aug 2006 03:05:36

Graph Theory Lessons

The entire 23 lessons of Graph Theory that utilizes a java software as an investigative tool. The software can draw, edit and manipulate simple graphs, examine properties of the graphs, and demonstrate them using computer animation.

Update 10/11/2017:

The book is no longer available at University of Tennessee at Chattanooga website as Christopher P. Mawata's webpage is no longer there. A mirror is available at UpdateSoft, though I'm not sure about the legality. The download link has been updated.

About the Lessons:

These are the entire 23 lessons of Graph Theory taught in Department of Mathematics University of Tennessee at Chattanooga. It utilizes a java software, Petersen, written by Christopher P. Mawata which can draw, edit and manipulate simple graphs, examine properties of the graphs, and demonstrate them using computer animation. The software can display information about a graph like the number of vertices and their degrees, the adjacency matrix, the number of components, and articulation points. It can find complements of graphs, line graphs, find the chromatic number of a graph, check if a graph is bipartite, check if two graphs are isomorphic or if one graph is a subgraph of another and find the dual graph of a planar graph in many cases. Petersen also demonstrates Euler and Hamilton circuits, searches, and algorithms for finding minimum spanning trees.

The subject matter addressed in these lessons are topics typically found in undergraduate graph theory and discrete structures classes like null graphs, the handshaking lemma, isomorphism, complete graphs, subgraphs, regular graphs, platonic graphs, adjacency matrices, graph coloring, bipartite graphs, simple circuits, Euler and Hamilton circuits, trees, unions and sums of graphs, complements of graphs, line graphs, spanning trees, plane graphs, shortest paths, minimal spanning trees. These topics are central to graph theory and essential to further learning in the area.

Intended Audience and Hardware requirements:

These lessons are targeted at undergraduate beginning classes in Graph Theory. The students who use the software at UTC, the University of Tennessee at Chattanooga, are mathematics majors for whom it is an elective course and computer science students for whom it is a required course. It is assumed that the students using the software and lessons have some measure of mathematical sophistication; for instance that they are able to write an induction proof etc. They have done second semester calculus and a course in computer programming. The prerequisite courses give an indication of the level of mathematical maturity assumed. The Petersen software will run under Windows 3.1, Windows 95 or better.

The book is no longer available at University of Tennessee at Chattanooga website as Christopher P. Mawata's webpage is no longer there. A mirror is available at UpdateSoft, though I'm not sure about the legality. The download link has been updated.

About the Lessons:

These are the entire 23 lessons of Graph Theory taught in Department of Mathematics University of Tennessee at Chattanooga. It utilizes a java software, Petersen, written by Christopher P. Mawata which can draw, edit and manipulate simple graphs, examine properties of the graphs, and demonstrate them using computer animation. The software can display information about a graph like the number of vertices and their degrees, the adjacency matrix, the number of components, and articulation points. It can find complements of graphs, line graphs, find the chromatic number of a graph, check if a graph is bipartite, check if two graphs are isomorphic or if one graph is a subgraph of another and find the dual graph of a planar graph in many cases. Petersen also demonstrates Euler and Hamilton circuits, searches, and algorithms for finding minimum spanning trees.

The subject matter addressed in these lessons are topics typically found in undergraduate graph theory and discrete structures classes like null graphs, the handshaking lemma, isomorphism, complete graphs, subgraphs, regular graphs, platonic graphs, adjacency matrices, graph coloring, bipartite graphs, simple circuits, Euler and Hamilton circuits, trees, unions and sums of graphs, complements of graphs, line graphs, spanning trees, plane graphs, shortest paths, minimal spanning trees. These topics are central to graph theory and essential to further learning in the area.

Intended Audience and Hardware requirements:

These lessons are targeted at undergraduate beginning classes in Graph Theory. The students who use the software at UTC, the University of Tennessee at Chattanooga, are mathematics majors for whom it is an elective course and computer science students for whom it is a required course. It is assumed that the students using the software and lessons have some measure of mathematical sophistication; for instance that they are able to write an induction proof etc. They have done second semester calculus and a course in computer programming. The prerequisite courses give an indication of the level of mathematical maturity assumed. The Petersen software will run under Windows 3.1, Windows 95 or better.

Tweet

About The Author(s)

No information is available for this author.

Book Categories

Computer Science
Introduction to Computer Science
Introduction to Computer Programming
Algorithms and Data Structures
Artificial Intelligence
Computer Vision
Machine Learning
Neural Networks
Game Development and Multimedia
Data Communication and Networks
Coding Theory
Computer Security
Information Security
Cryptography
Information Theory
Computer Organization and Architecture
Operating Systems
Image Processing
Parallel Computing
Concurrent Programming
Relational Database
Document-oriented Database
Data Mining
Big Data
Data Science
Digital Libraries
Compiler Design and Construction
Functional Programming
Logic Programming
Object Oriented Programming
Formal Methods
Software Engineering
Agile Software Development
Information Systems
Geographic Information System (GIS)

Mathematics
Mathematics
Algebra
Abstract Algebra
Linear Algebra
Number Theory
Numerical Methods
Precalculus
Calculus
Differential Equations
Category Theory
Proofs
Discrete Mathematics
Theory of Computation
Graph Theory
Real Analysis
Complex Analysis
Probability
Statistics
Game Theory
Queueing Theory
Operations Research
Computer Aided Mathematics

Supporting Fields
Web Design and Development
Mobile App Design and Development
System Administration
Cloud Computing
Electric Circuits
Embedded System
Signal Processing
Integration and Automation
Network Science
Project Management

Operating System
Programming/Scripting
Ada
Assembly
C / C++
Common Lisp
Forth
Java
JavaScript
Lua
Microsoft .NET
Rexx
Perl
PHP
Python
R
Rebol
Ruby
Scheme
Tcl/Tk

Miscellaneous
Sponsors