Hypergraph Coloring [Hypergraph Theory Ep. 13]
This video covers hypergraph proper colorings, which are assignments of colors to vertices such that no edge is monochromatic. We go over several examples, draw connections to graph theory, and place some bounds on the chromatic number of a hypergraph.
Recommended Books:
******************************* Hypergraph Theory *******************************
"Hypergraph Theory: An Introduction": https://amzn.to/48WKqfy
******************************* Graph Theory *******************************
"Introduction to Graph Theory (Trudeau)": https://amzn.to/48ZWhtj
"Graph Theory (Diestel)": https://amzn.to/4aYCSdW
******************************* Misc. Undergraduate Mathematics *******************************
Discrete Mathematics with Applications (Epp): https://amzn.to/4aWC1dM
A Book of Abstract Algebra (Pinter): https://amzn.to/3S2QmfV
Language, Proof and Logic: https://amzn.to/47EIZkE
Linear Algebra and Its Applications: https://amzn.to/48QsoMt
All the Math You Missed: https://amzn.to/3u5dORP
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0:00 Definition
1:50 Color Classes
3:20 Bichromatic Hypergraphs
4:10 Chromatic Number
#hypergraph
#hypergraphs
#vitalsine