What are...intrinsically linked graphs?
Goal.
I would like to tell you a bit about my favorite theorems, ideas or concepts in mathematics and why I like them so much.
This time.
What are...intrinsically linked graphs? Or: Difficult problem, easy solution.
Disclaimer.
Nobody is perfect, and I might have said something silly. If there is any doubt, then please check the references.
Slides.
http://www.dtubbenhauer.com/youtube.html
TeX files for the presentation.
https://github.com/dtubbenhauer/My-Te...
Thumbnail.
https://sarcasticresonance.files.word...
Main discussion.
Chapter 8 of https://www.math.cuhk.edu.hk/course_b...
https://mathworld.wolfram.com/Intrins...
https://www.sciencedirect.com/science...
https://people.reed.edu/~ormsbyk/138/...
https://math.osu.edu/sites/math.osu.e...
H. Sachs. On spatial representations of finite graphs. In Colloquia Mathematica Societatis
Janos Bolyai, volume 37, pages 649–662, 1984
Background material.
https://mathscinet.ams.org/mathscinet...
https://mathoverflow.net/questions/39...
https://mathoverflow.net/questions/79...
https://en.wikipedia.org/wiki/Peterse...
https://en.wikipedia.org/wiki/Peterse...
https://en.wikipedia.org/wiki/Roberts...
https://www.ams.org/notices/200603/wh...
https://cornellmath.wordpress.com/200...
https://mathworld.wolfram.com/Roberts...
Computer talk.
https://demonstrations.wolfram.com/In...
Petersen graph created with GraphData["PetersenGraph"] in Mathematica
https://demonstrations.wolfram.com/Gi...
Pictures used.
Picture from https://en.wikipedia.org/wiki/Wagner%...
Picture from • What is...a knotted graph?
A picture that I forgot where I got it from (sorry!)
Another picture from • What is...a knotted graph?
https://sarcasticresonance.wordpress....
YouTube and co.
• What is...a knotted graph? (Shameful selfpromotion)
• Homfly Polynomial of Knotted Trivalent Pla...
• 3 21 Kuratowski's Theorem
#graphtheory
#topology
#mathematics