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Experimental Mathematics Volume 25, 2016 - Issue 2
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Original Articles

On Generalized Schur Numbers

Tanbir AhmedDepartment of Computer Science and Software Engineering, Concordia University, Montréal, CanadaCorrespondence[email protected]
&
Daniel J. SchaalDepartment of Mathematics and Statistics, South Dakota State University, Brookings, SD, USA
Pages 213-218 | Published online: 16 Dec 2015

References

  • [Ahmed 09] T. Ahmed. “Some New van der Waerden Numbers and Some van der Waerden-Type Numbers.” Integers 9 (2009), A06, 65–76.
  • [Ahmed et al. 13] T. Ahmed, M. G. Eldredge, J. J. Marler, and H. Snevily. “Strict Schur Numbers.” Integers 13 (2013), 346–357.
  • [Beutelspacher and Brestovansky 82] A. Beutelspacher and W. Brestovansky. “Generalized Schur Numbers.” Lect. Notes Math. 969 (1982), 30–38.
  • [Bialostocki and Schaal 00] A. Bialostocki and D. Schaal. “On a Variation of Schur Numbers.” Graphs Combin. 16: 2 (2000), 139–147.
  • [Exoo 94] G. Exoo. “A Lower Bound for Schur Numbers and Multicolor Ramsey Numbers of K3.” Electron. J. Combin. 1 (1994), R8.
  • [Fredricksen and Sweet 00] H. Fredricksen and M. M. Sweet. “Symmetric Sum-Free Partitions and Lower Bounds for Schur Numbers.” Electron. J. Combin. 7 (2000), R32, 9pp.
  • [Kézdy et al. 09] A. E. Kézdy, H. Snevily, and C. S. White. “Generalized Schur Numbers for x1 + x2 + c = 3x3.” Electron. J. Combin. 16: 1 (2009), R105, 13pp.
  • [Landman and Robertson 04] B. Landman and A. Robertson. Ramsey Theory on the Integers. Providence, RI: Student Mathematical Library, American Mathematical Society, 2004.
  • [Martinelli and Schaal 07] B. Martinelli and D. Schaal. “On Generalized Schur Numbers for x1 + x2 + c = kx3.” Ars Combin. 85 (2007), 33–42.
  • [Robertson and Schaal 01] A. Robertson and D. Schaal. “Off-Diagonal Generalized Schur Numbers.” Adv. Appl. Math. 26: 3 (2001), 252–257.
  • [Schaal 93] D. Schaal. “On Generalized Schur Numbers.” Congr. Numer. 98 (1993), 178–187.
  • [Schaal and Snevily 08] D. Schaal and H. Snevily. “A Multiplicity Problem Related to Schur Numbers.” Integers 8 (2008), #A26, 7pp.
  • [Schur 16] I. Schur. “Uber die Kongruenz .” Jahresber. Deutsch. Math.-Verin. 25 (1916), 114–116.

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