Hypergraph Strong Colorings [Hypergraph Theory Ep. 14]
Vital Sine
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/strongcol.pdf
https://link.springer.com/chapter/10.1007/978-3-540-75520-3_46
https://link.springer.com/book/10.1007/978-3-319-60469-5
Recommended Books: ******************************** Hypergraph Theory ******************************** "Hypergraph Theory: An Introduction": https://amzn.to/43bC8h1
"Introduction to Graph and Hypergraph Theory": https://amzn.to/3Ij9Poz
******************************** Graph Theory ******************************** "Introduction to Graph Theory (Trudeau)": https://amzn.to/43e2gHR
"Graph Theory (Diestel)": https://amzn.to/3OuLxfw
"The Fascinating World of Graph Theory": https://amzn.to/3pSUFQB
******************************** Misc. Undergraduate Mathematics ******************************** Discrete Mathematics with Applications (Epp): https://amzn.to/3MBXzkL
A Book of Abstract Algebra (Pinter): https://amzn.to/3On2jgp
Language, Proof and Logic: https://amzn.to/3Oi68n6
Linear Algebra and Its Applications: https://amzn.to/3MhvM91
All the Math You Missed: https://amzn.to/42FqOK5
These are my Amazon Affiliate links. As an Amazon Associate I may earn commisions for purchases made through the links above.
0:00 Definition 1:05 Strong Chromatic Number 2:30 Distance-2 Colorings and Graph Squares 5:55 Applications
#hypergraph #hypergraphs #vitalsine ... https://www.youtube.com/watch?v=2uz9CNHM1dQ
16184543 Bytes