Artículo
Lower bounds and exact values of the 2-color off-diagonal generalized weak Schur numbers WS(2;k,k) (Brief Announcement)
Autor/es | Ahmed, T.
Boza Prieto, Luis Revuelta Marchena, María Pastora Sanz Domínguez, María Isabel |
Departamento | Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII) |
Fecha de publicación | 2023 |
Fecha de depósito | 2023-10-02 |
Publicado en |
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Resumen | In this study, we focus on the concept of the 2-color off-diagonal generalized weak Schur numbers, denoted as WS(2; k1, k2). These numbers are defined for integers ki ≥ 2, where i = 1, 2, as the smallest integer M, such ... In this study, we focus on the concept of the 2-color off-diagonal generalized weak Schur numbers, denoted as WS(2; k1, k2). These numbers are defined for integers ki ≥ 2, where i = 1, 2, as the smallest integer M, such that any 2-coloring of the integer interval [1, M] must contain a 2-colored solution to the equation Ekj: x1 + x2 + ... + xkj = xkj+1 for j = 1,2, with the condition that xi ≠ xj when i ≠ j. Our objective is to determine lower bounds for these 2-color off-diagonal generalized weak Schur numbers and demonstrate that in several cases, these lower bounds match the exact values. |
Cita | Ahmed, T., Boza Prieto, L., Revuelta Marchena, M.P. y Sanz Domínguez, M.I. (2023). Lower bounds and exact values of the 2-color off-diagonal generalized weak Schur numbers WS(2;k,k) (Brief Announcement). Procedia Computer Science, 223, 403-405. https://doi.org/10.1016/j.procs.2023.08.261. |
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