four-color theorem & basic graph theory mcmullen chris [pdf]

About Us

Math shortcuts, Articles, worksheets, Exam tips, Question, Answers, FSc, BSc, MSc

More about us

Keep Connect with Us

Login to Your Account

Remember me

JOIN OUR 33,890 + FANS

JOIN OUR 100 + FANS

Welcome in Math School.
This is beta verion of our website.

four-color theorem & basic graph theory mcmullen chris [pdf]

The Four-Color Theorem and Basic Graph Theory by Chris McMullen

MathSchoolinternational contain thousands of Mathematics Free Books and Physics Free Books. Which cover almost all topics for students of Mathematics, Physics and Engineering. We have also collected other Best Free Math Websites for teachers and students.
Here is extisive list of Graph Theory Books . We hope students and teachers like these textbooks, notes and solution manuals.

Share this page:-
We need Your Support, Kindly Share this Web Page with Other Friends

Report DMCA / Copyright

Congratulations, the link is avaliable for free download.

How to Download a Book?, ... Need Help?

About this book :-
The Four-Color Theorem and Basic Graph Theory Chris McMullen.
This book will take you on a tour of the four-color theorem and related concepts from graph theory. Numerous illustrations are provided to help you visualize important ideas. Concepts are explained in clear, simple terms. No prior knowledge of graph theory is assumed.
You will find in this book: what the four-color theorem is, a novel explanation for why the four-color theorem holds, the reason for working with graphs instead of maps, what triangulation is and the reason behind it, visual examples of Kempe chains and Kempe’s attempted proof, the three-edges theorem: a simplified approach to the four-color theorem, cool concepts like “quadrilateral switching” and “vertex splitting”, the distinction between planar graphs and nonplanar graphs, how to determine if a graph is a maximal planar graph or not, Euler’s formula and its relation to maximal planar graphs, explanations of Kuratowski’s theorem and Wagner’s theorem, complete graphs and complete bipartite graphs, a survey of a few named graphs such as the Fritsch and Errera graphs, how some maximal planar graphs can be trivially colored, a simple algorithm for four-coloring a maximal planar graph (Chapters 22 and 24), counting how many ways a graph can be colored using no more than four colors, comparing the coloring of a graph to a logic puzzle, Hamiltonian cycles and polygon forms of maximal planar graphs, what a separating triangle is and how to use it
May you enjoy this tour of the four-color theorem and basic graph theory.

Book Detail :-
Title: The Four-Color Theorem and Basic Graph Theory
Edition:
Author(s): Chris McMullen
Publisher: Zishka Publishing
Series:
Year: 2020
Pages: 483
Type: PDF
Language: English
ISBN: 1941691099,9781941691090
Country: US
Download Similar Books from Amazon

About Author :-
The author Curtis Tracy McMullen is an American mathematician who is the Professor of Mathematics at Harvard University . He was awarded the Fields Medal in 1998 for his work in complex dynamics, hyperbolic geometry and Teichmüller theory. McMullen graduated as valedictorian in 1980 from Williams College and obtained his Ph.D. in 1985 from Harvard University, supervised by Dennis Sullivan. He held post-doctoral positions at the Massachusetts Institute of Technology , the Mathematical Sciences Research Institute, and the Institute for Advanced Study, after which he was on the faculty at Princeton University (1987–1990) and the University of California, Berkeley (1990–1997), before joining Harvard in 1997.
The author, Dr. Chris McMullen, has over 20 years of experience teaching university physics in California, Oklahoma, Pennsylvania, and Louisiana (and has also taught physics to gifted high school students). Dr. McMullen currently teaches physics at Northwestern State University of Louisiana. He has also published a half-dozen papers on the collider phenomenology of superstring-inspired large extra dimensions. Chris McMullen earned his Ph.D. in particle physics from Oklahoma State University (and his M.S. in physics from California State University, Northridge).

Join our new updates, alerts:-
For new updates and alerts join our WhatsApp Group and Telegram Group (you can also ask any [pdf] book/notes/solutions manual).
Join WhatsApp Group
Join Telegram Group

Book Contents :-
The Four-Color Theorem and Basic Graph Theory Chris McMullen cover the following topics.
Introduction
1. Maps vs. Graphs
2. The Four-Color Theorem
3. Triangulation
4. Euler’s Formula
5. Complete Graphs and Bigraphs
6. Maximal Planar Graphs
7. Kempe Chains
8. A Few Notable Planar Graphs
9. Counting Ways
10. Logic Puzzle
11. Trivial Four-Coloring
12. Separating Triangles
13. Hamiltonian Cycles
14. Polygon Graphs
15. Adding Edges
16. Ultimate Four-Coloring
17. Removing Edges
18. Vertex Splitting
19. Quadrilateral Switching
20. Kirchhoff’s Rules
21. Building Blocks
22. Four-Coloring by Pairing Faces
23. The Three-Edges Theorem
24. A Recoloring Technique
25. Kempe’s Problem Revisited
26. Degrees of Separation
27. A Handwaving “Proof” of the 4CT
28. Random Notes
Answers

Note:-

We are not the owner of this book/notes. We provide it which is already avialable on the internet. For any further querries please contact us. We never SUPPORT PIRACY. This copy was provided for students who are financially troubled but want studeing to learn. If You Think This Materials Is Useful, Please get it legally from the PUBLISHERS. Thank you.

Now please OPEN for DOWNLOAD the BOOK.

Open Now or
Download Similar Books