What are...intrinsically linked graphs?
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Goal.
I would like to
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.
www.dtubbenhauer.com/youtube.html
TeX files for the presentation.
github.com/dtubbenhauer/My-TeX-files
Thumbnail.
sarcasticresonance.files.wordpress.com/2017/09/3d_…
Main discussion.
Chapter 8 of www.math.cuhk.edu.hk/course_builder/1920/math4900e…
mathworld.wolfram.com/IntrinsicallyLinkedGraph.htm…
www.sciencedirect.com/science/article/pii/S0095895…
people.reed.edu/~ormsbyk/138/ConwayGordon.pdf
math.osu.edu/sites/math.osu.edu/files/KnottedGraph…
H. Sachs. On spatial representations of finite graphs. In Colloquia Mathematica Societatis
Janos Bolyai, volume 37, pages 649–662, 1984
Background material.
mathscinet.ams.org/mathscinet/relay-station?mr=178…
mathoverflow.net/questions/39650/beyond-an-intro-t…
mathoverflow.net/questions/79488/is-there-a-knot-t…
en.wikipedia.org/wiki/Petersen_graph
en.wikipedia.org/wiki/Petersen_family
en.wikipedia.org/wiki/Robertson%E2%80%93Seymour_th…
www.ams.org/notices/200603/what-is.pdf
cornellmath.wordpress.com/2007/06/30/9/
mathworld.wolfram.com/Robertson-SeymourTheorem.htm…
Computer talk.
demonstrations.wolfram.com/IntrinsicallyKnottedGra…
Petersen graph created with GraphData["PetersenGraph"] in Mathematica
demonstrations.wolfram.com/GiantComponentInRandomG…
Pictures used.
Picture from en.wikipedia.org/wiki/Wagner%27s_theorem
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?
sarcasticresonance.wordpress.com/wp-content/upload…
YouTube and co.
• What is...a knotted graph? (Shameful selfpromotion)
• Homfly Polynomial of Knotted Trivalen...
• 3 21 Kuratowski's Theorem
#graphtheory
#topology
#mathematics
3 ماه پیش
در تاریخ 1403/03/19 منتشر شده
است.
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