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The Fourcolor Theorem And Basic Graph Theory Chris Mcmullen

  • SKU: BELL-11091716
The Fourcolor Theorem And Basic Graph Theory Chris Mcmullen
$ 31.00 $ 45.00 (-31%)

5.0

68 reviews

The Fourcolor Theorem And Basic Graph Theory Chris Mcmullen instant download after payment.

Publisher: Zishka Publishing
File Extension: PDF
File size: 16.49 MB
Pages: 425
Author: Chris McMullen
ISBN: 9781941691090, 1941691099
Language: English
Year: 2020

Product desciption

The Fourcolor Theorem And Basic Graph Theory Chris Mcmullen by Chris Mcmullen 9781941691090, 1941691099 instant download after payment.

Explore a variety of fascinating concepts relating to the four-color theorem with an accessible introduction to related concepts from basic graph theory. From a clear explanation of Heawood’s disproof of Kempe’s argument to novel features like quadrilateral switching, this book by Chris McMullen, Ph.D., is packed with content. It even includes a novel handwaving argument explaining why the four-color theorem is true.
  • What is the four-color theorem?
  • Why is it common to work with graphs instead of maps?
  • What are Kempe chains?
  • What is the problem with Alfred Kempe’s attempted proof?
  • How does Euler’s formula relate the numbers of faces, edges, and vertices?
  • What are Kuratowski’s theorem and Wagner’s theorem?
  • What is the motivation behind triangulation?
  • What is quadrilateral switching?
  • What is vertex splitting?
  • What is the three-edges theorem?
  • Is there an algorithm for four-coloring a map or graph?
  • What is a Hamiltonian cycle?
  • What is a separating triangle?
  • How is the four-color theorem like an ill-conditioned logic puzzle?
  • Why is the four-color theorem true?
  • What makes the four-color theorem so difficult to prove by hand?

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