What is a...Cayley graph?

Goal.
Explaining basic concepts of (a classical course in) algebra in an intuitive way.

This time.
What is a...Cayley graph? Or: Graphs and groups.

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

Thumbnail picture.
The Cayley graph of the symmetric group S4 using the generators (1,2) and (1,2,3,4)

Material used.
https://en.wikipedia.org/wiki/Cayley_...
http://www.math.clemson.edu/~macaule/...

Mathematica.
https://reference.wolfram.com/languag...

More on spectra of Cayley graphs.
https://www.sciencedirect.com/science...

#algebra
#galoistheory
#mathematics