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_graph
http://www.math.clemson.edu/~macaule/classes/m14_math4120/m14_math4120_lecture-09_h.pdf
Mathematica.
https://reference.wolfram.com/language/ref/CayleyGraph.html
More on spectra of Cayley graphs.
https://www.sciencedirect.com/science/article/pii/0095895679900790
#algebra
#galoistheory
#mathematics
