Goal.
I would like to tell you a bit about my favorite subfields of mathematics (in no particular order), highlighting key theorems, ideas or concepts and why I like them so much. This is a variation of “My favorite theorems” and I park the videos on that list as well.
This time.
What is...random graph theory? Or: Subfields of mathematics 5.
Disclaimer.
Nobody is perfect, and I might have said something silly. If there is any doubt, then please check the references.
Slides.
www.dtubbenhaue...
TeX files for the presentation.
github.com/dtu...
Thumbnail.
Picture created using the below Mathematica code
Main discussion.
www.cambridge....
en.wikipedia.o...
en.wikipedia.o...
en.wikipedia.o...
Background material.
en.wikipedia.o...)
en.wikipedia.o...)
en.wikipedia.o...
en.wikipedia.o...
en.wikipedia.o...)
en.wikipedia.o...
en.wikipedia.o...
en.wikipedia.o...
en.wikipedia.o...
en.wikipedia.o...
en.wikipedia.o...
Computer talk.
doc.sagemath.o...
reference.wolf...
reference.wolf...
demonstrations...
Pictures used.
Picture from www.dtubbenhau...
Another picture from www.dtubbenhau...
Yet another picture from www.dtubbenhau...
Pictures created using the above Mathematica code
A final picture from www.dtubbenhau...
KZitem and co.
• This random graph fact...
• Lecture 3. Random graphs.
• Random & Distributed G...
• Class 09: Erdos-Renyi ...
• What is...the Rado graph? (shameful self-promotion)
#graphtheory
#probabilitytheory
#mathematics
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