Advances on the 3-color off-diagonal generalized Schurnumbers S(3; k1, k2, k3)

• T. Ahmed ^[1] ; L. Boza ^[2] ; M. P. Revuelta ^[2] ; M. I. Sanz ^[2]
  1. [1] Concordia University

     Concordia University

     Canadá

     
  2. [2] Universidad de Sevilla

     Universidad de Sevilla

     Sevilla, España

     
• Localización: Discrete Mathematics Days 2022 / Luis Felipe Tabera Alonso (ed. lit.) , 2022, ISBN 978-84-19024-02-2, págs. 269-273
• Idioma: inglés
• Texto completo no disponible (Saber más ...)
• Resumen

  • For integers r and ki, with r ≥ 2 and ki ≥ 2 for i = 1, 2, . . . , r, the r-color off-diagonalgeneralized Schur number S(r; k1, k2, . . . , kr) is defined as the least integer M such thatany r-coloring of the integer interval [1, M] must admit a j-colored solution to equationEkj: x1 + x2 + . . . + xkj = xkj+1 for some j with 1 ≤ j ≤ r.In this work, we will show our advances on the 3-color off-diagonal generalized Schurnumbers S(3; k1, k2, k3).