Geodesic
Symmetric sum-free partitions and lower bounds for Schur numbers
The electronic journal of combinatorics, Tome 7 (2000)
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We give new lower bounds for the Schur numbers $S(6)$ and $S(7)$. This will imply new lower bounds for the Multicolor Ramsey Numbers $R_6(3)$ and $R_7(3)$. We also make several observations concerning symmetric sum-free partitions into 5 sets.
DOI : 10.37236/1510
Classification : 05D10, 05A18
Mots-clés : Schur numbers, multicolor Ramsey numbers, symmetric sum-free paritions 
@article{10_37236_1510,
     author = {Harold Fredricksen and Melvin M. Sweet},
     title = {Symmetric sum-free partitions and lower bounds for {Schur} numbers},
     journal = {The electronic journal of combinatorics},
     year = {2000},
     volume = {7},
     doi = {10.37236/1510},
     zbl = {0944.05093},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/1510/}
}
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DO  - 10.37236/1510
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%A Harold Fredricksen
%A Melvin M. Sweet
%T Symmetric sum-free partitions and lower bounds for Schur numbers
%J The electronic journal of combinatorics
%D 2000
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%U http://geodesic.mathdoc.fr/articles/10.37236/1510/
%R 10.37236/1510
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Harold Fredricksen; Melvin M. Sweet. Symmetric sum-free partitions and lower bounds for Schur numbers. The electronic journal of combinatorics, Tome 7 (2000). doi: 10.37236/1510

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