Hypergraph Strong Colorings [Hypergraph Theory Ep. 14]
This video covers strong hypergraph colorings. We will go over several examples, as well as draw several connections to graph theory, including to graph squares and distance-2 colorings. We also discuss applications to communication networks.
Communication Network Application Resources:
https://www.ru.is/faculty/mmh/papers/...
https://link.springer.com/chapter/10....
https://link.springer.com/book/10.100...
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
1:05 Strong Chromatic Number
2:30 Distance-2 Colorings and Graph Squares
5:55 Applications
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