ListarArtículos (Matemática Aplicada I) por materia "Schur numbers"
Mostrando ítems 1-11 de 11
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3-color Schur numbers
(Elsevier, 2019)Let k ≥ 3 be an integer, the Schur number Sk(3) is the least positive integer, such that for every 3-coloring of the ...
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A general lower bound on the weak Schur number
(Elsevier, 2018)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 ...
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Exact value of 3 color weak Rado number
(Elsevier, 2016)For integers k, n, c with k, n ≥ 1 and c ≥ 0, the n color weak Rado number W Rk(n, c) is defined as the least integer N, ...
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Exact values and lower bounds on the n-color weak Schur numbers for n = 2, 3
(Springer, 2023-08-23)For integers k, n with k, n ≥ 1, the n-color weak Schur number WSk (n) is defined as the least integer N, such that for ...
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Lower bounds and exact values of the 2-color off-diagonal generalized weak Schur numbers WS(2;k,k) (Brief Announcement)
(Elsevier, 2023)In this study, we focus on the concept of the 2-color off-diagonal generalized weak Schur numbers, denoted as WS(2; k1, ...
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Modular Schur numbers
(Electronic Journal of Combinatorics, 2013)For any positive integers l and m, a set of integers is said to be (weakly) l-sum free modulo m if it contains no (pairwise ...
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On the finiteness of some n-color Rado numbers
(Elsevier, 2017)For integers k, n, c with k, n ≥ 1, the n-color Rado number Rk(n, c) is defined to be the least integer N if any, or ...
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On the n-Color Weak Rado Numbers for the Equation x1 + x2 + ··· + xk + c = xk +1
(Taylor and Francis, 2019)For integers k, n, c with k, n ≥ 1, and c ≥ 0, the n-color weak Rado number WRk (n, c) is defined as the least integer ...
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On the n-Color Weak Rado Numbers for the Equation x1 + x2 + ··· + xk + c = xk +1
(American Mathematical Society, 2016)For integers k, n, c with k, n ≥ 1, the n-color Rado number Rk(n, c) is defined to be the least integer N, if it exists ...
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The Schur degree of additive sets
(Elsevier, 2021-05)Let (G, +) be an abelian group. A subset of G is sumfree if it contains no elements x, y, z such that x+y = z. We extend ...
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Weak Schur numbers and the search for G.W. Walker’s lost partitions
(Elsevier, 2012)A set A of integers is weakly sum-free if it contains no three distinct elements x, y, z such that x + y = z. Given k ≥ ...