Geodesic
Multicolor Ramsey numbers for Berge cycles
Zachary DeStefano1 ; Hannah Mahon2 ; Frank Simutis3 ; Michael Tait3
1New York University
2Georgia Tech Research Institute
3Villanova University
The electronic journal of combinatorics, Tome 29 (2022) no. 4
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In this paper, for small uniformities, we determine the order of magnitude of the multicolor Ramsey numbers for Berge cycles of length $4$, $5$, $6$, $7$, $10$, or $11$. Our result follows from a more general setup which can be applied to other hypergraph Ramsey problems. Using this, we additionally determine the order of magnitude of the multicolor Ramsey number for Berge-$K_{a,b}$ for certain $a$, $b$, and uniformities.
DOI : 10.37236/10761
Classification : 05D10, 05C55, 05C35, 05C65, 05C12
Mots-clés : hypergraph Ramsey numbers, Berge-\(G\) hypergraph

Zachary DeStefano  1   ; Hannah Mahon  2   ; Frank Simutis  3   ; Michael Tait  3

1 New York University
2 Georgia Tech Research Institute
3 Villanova University 
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     author = {Zachary DeStefano and Hannah Mahon and Frank  Simutis and Michael Tait},
     title = {Multicolor {Ramsey} numbers for {Berge} cycles},
     journal = {The electronic journal of combinatorics},
     year = {2022},
     volume = {29},
     number = {4},
     doi = {10.37236/10761},
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     url = {http://geodesic.mathdoc.fr/articles/10.37236/10761/}
}
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Zachary DeStefano; Hannah Mahon; Frank  Simutis; Michael Tait. Multicolor Ramsey numbers for Berge cycles. The electronic journal of combinatorics, Tome 29 (2022) no. 4. doi: 10.37236/10761

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