Hypergraph Strong Colorings [Hypergraph Theory Ep. 14]

Published: 04 September 2023
on channel: Vital Sine
427
15

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

#hypergraph
#hypergraphs
#vitalsine


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