Article
On partitions with K corners not containing the staircase with one more corner
Author/s | Briand, Emmanuel
![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Department | Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII) |
Date | 2022 |
Published in |
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Abstract | We give three proofs of the following result conjectured by Carriegos, De Castro-García
and Muñoz Castañeda in their work on enumeration of control systems: when (
k+1
2
)
≤
n <
(
k+2
2
)
, there are as many ... We give three proofs of the following result conjectured by Carriegos, De Castro-García and Muñoz Castañeda in their work on enumeration of control systems: when ( k+1 2 ) ≤ n < ( k+2 2 ) , there are as many partitions of n with k corners as pairs of partitions (α, β) such that ( k+1 2 ) + |α| + |β| = n. |
Funding agencies | Ministerio de Ciencia, Innovación y Universidades (MICINN). España Ministerio de Ciencia e Innovación (MICIN). España Junta de Andalucía |
Project ID. | MTM2016-75024-P
![]() PID2020-117843GB-I00 ![]() US-1262169 ![]() |
Citation | Briand, E. (2022). On partitions with K corners not containing the staircase with one more corner. Discrete Applied Mathematics, 314 (June 2022), 162-168. |
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