Geodesic
A 2-coloring of \([1, N]\) can have \((1/22) N^2+O(N)\) monochromatic Schur triples, but not less
The electronic journal of combinatorics, Tome 5 (1998)
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We prove the statement of the title, thereby solving a $100 problem of Ron Graham. This was solved independently by Tomasz Schoen.
DOI : 10.37236/1357
Classification : 05D10, 05A16, 03E05
Mots-clés : colorings, Schur triple 
@article{10_37236_1357,
     author = {Aaron Robertson and Doron Zeilberger},
     title = {A 2-coloring of \([1, {N]\)} can have \((1/22) {N^2+O(N)\)} monochromatic {Schur} triples, but not less},
     journal = {The electronic journal of combinatorics},
     year = {1998},
     volume = {5},
     doi = {10.37236/1357},
     zbl = {0894.05052},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/1357/}
}
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Aaron Robertson; Doron Zeilberger. A 2-coloring of \([1, N]\) can have \((1/22) N^2+O(N)\) monochromatic Schur triples, but not less. The electronic journal of combinatorics, Tome 5 (1998). doi: 10.37236/1357

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