Artículo
A general lower bound on the weak Schur number
Autor/es | Boza Prieto, Luis
Revuelta Marchena, María Pastora Sanz Domínguez, María Isabel |
Departamento | Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII) |
Fecha de publicación | 2018 |
Fecha de depósito | 2022-07-29 |
Publicado en |
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Resumen | For integers k, n with k, n ≥ 1, the n-color weak Schur number W Sk(n) is defined as
the least integer N, such that for every n-coloring of the integer interval [1, N], there
exists a monochromatic solution x1, . . . , ... For integers k, n with k, n ≥ 1, the n-color weak Schur number W Sk(n) is defined as the least integer N, such that for every n-coloring of the integer interval [1, N], there exists a monochromatic solution x1, . . . , xk, xk+1 in that interval to the equation x1 +x2 +. . .+xk = xk+1, with xi 6= xj , when i 6= j. We show a relationship between W Sk(n + 1) and W Sk(n) and a general lower bound on the W Sk(n) is obtained. |
Cita | Boza Prieto, L., Revuelta Marchena, M.P. y Sanz Domínguez, M.I. (2018). A general lower bound on the weak Schur number. Electronic Notes in Discrete Mathematics, 68 (July 2018), 137-142. |
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