97
Views
3
CrossRef citations to date
0
Altmetric
Original Articles

Finding Patterns Avoiding Many Monochromatic Constellations

, &
Pages 399-411 | Received 05 Jun 2009, Accepted 11 Nov 2009, Published online: 23 Feb 2011

REFERENCES

  • Cameron , Peter , Cilleruelo , Javier and Serra , Oriol . 2007 . “On Monochromatic Solutions of Equations in Groups.” . Rev. Mat. Iberoamericana , 23 : 385 – 395 . [Cameron et al. 07]
  • Datskovsky , Boris . 2001 . “On the Number of Monochromatic Schur Triples.” . Advances in Applied Math. , 31 : 193 – 198 . [Datskovsky 01]
  • Frankl , Peter , Graham , Ron and Rödl , Vojtěch . 1988 . “Quantitative Theorems for Regular Systems of Equations.” . J. Combin. Theory Ser. A , 47 : 246 – 261 . [Frankl et al. 88]
  • Parrilo , Pablo , Robertson , Aaron and Saracino , Dan . 2008 . “On the Asymptotic Minimum Number of Monochromatic 3-Term Arithmetic Progressions.” . J. Combin. Theory Ser. A , 115 : 185 – 192 . [Parrilo et al. 08]
  • Robertson , Aaron and Zeilberger , Doron . 1998 . “A 2-Coloring of [1, N] Can Have (1/22)N2 + O(N) Monochromatic Schur Triples, but Not Less!” . Electron. J. Combin. , 5 : 4 research paper 19, [Robertson and Zeilberger 98]
  • Schoen , Tomasz . 1999 . “The Number of Monochromatic Schur Triples.” . Europ. J. Combinatorics , 20 : 855 – 866 . [Schoen 99]
  • Thanatipanonda , Thotsaporn . 2009 . “On the Monochromatic Schur Triples Type Problem.” . Electron. J. Combin. , 16 : 11 research paper 14, [Thanatipanonda 09]
  • Thomason , Andrew . 1989 . “A Disproof of a Conjecture of Erdős in Ramsey Theory.” . J. London Math. Soc. , 39 : 246 – 255 . [Thomason 89]
  • van derWaerden , Bartel Leendert . 1927 . “Beweis einer Baudetschen Vermutung.” . Nieuw Arch. Wisk , 15 : 212 – 216 . [van der Waerden 27]
  • Wolf , Julia . 2010 . “The Minimum Number of Monochromatic 4-Term Progressions in Zp.” . J. Combinatorics , 1 : 53 – 68 . [Wolf 10]

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.