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We study an analogue of the Ramsey multiplicity problem for additive structures, in particular establishing the minimum number of monochromatic 3-APs in 3-colorings of $\mathbb{F}_3^n$ as well as obtaining the first non-trivial lower bound for the minimum number of monochromatic 4-APs in 2-colorings of $\mathbb{F}_5^n$.
Studien zur kombinatorik
R. Rado · 1933
Earlier work this paper cites.
On sets of acquaintances and strangers at any party
A. W. Goodman · 1959
Earlier work this paper cites.
On the number of complete subgraphs contained in certain graphs
P. Erdős · 1962
Earlier work this paper cites.
Sur le probleme de Goodman pour les quadrangles et la majoration des nombres de Ramsey
G. Giraud · 1979
Earlier work this paper cites.
Practical graph isomorphism
B. D. McKay · 1981
Earlier work this paper cites.
A disproof of a conjecture of Erdős in Ramsey theory
A. Thomason · 1989
Earlier work this paper cites.
2-colorings of complete graphs with a small number of monochromatic K 4 K_{4} subgraphs
F. Franek and V. Rödl · 1993
Earlier work this paper cites.
On Schur properties of random subsets of integers
R. Graham, V. Rödl, and A. Ruciński · 1996
Earlier work this paper cites.
Graph products and monochromatic multiplicities
A. Thomason · 1997
Earlier work this paper cites.
Isomorph-free exhaustive generation
B. D. McKay · 1998
Earlier work this paper cites.
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A. Robertson and D. Zeilberger · 1998
Earlier work this paper cites.
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B. Borchers · 1999
Earlier work this paper cites.
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T. Schoen · 1999
Earlier work this paper cites.
On the minimum number of k k -cliques in graphs with restricted independence number
V. Nikiforov · 2001
Earlier work this paper cites.
On the number of monochromatic Schur triples
B. A. Datskovsky · 2003
Earlier work this paper cites.
Minimizing polynomial functions
P. A. Parrilo and B. Sturmfels · 2003
Earlier work this paper cites.
On monochromatic solutions of equations in groups
P. J. Cameron, J. Cilleruelo, and O. Serra · 2007
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On the Ramsey multiplicity of complete graphs
D. Conlon · 2007
Cited alongside, same era.
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Cited alongside, same era.
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On 3-hypergraphs with forbidden 4-vertex configurations
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Cited alongside, same era.
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Practical graph isomorphism, II
B. D. McKay and A. Piperno · 2014
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C. Even-Zohar and N. Linial · 2015
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Iterative refinement for linear programming
A. Gleixner, D. Steffy, and K. Wolter · 2015
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