Periodic behaviour of generalized threshold functions

E. Goles; J. Olivos

doi:10.1016/0012-365X(80)90121-1

Periodic behaviour of generalized threshold functions

E. Goles, J. Olivos

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96 Citas (Scopus)

Resumen

It is shown that, for a function Δ from {0, 1}ⁿ to {0, 1}ⁿ whose components from a symmetric set of threshold functions the repeated application of Δ, leads either to a fixed point or to a cycle of length two.

Idioma original	Inglés
Páginas (desde-hasta)	187-189
Número de páginas	3
Publicación	Discrete Mathematics
Volumen	30
N.º	2
DOI	https://doi.org/10.1016/0012-365X(80)90121-1
Estado	Publicada - 1980
Publicado de forma externa	Sí

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title = "Periodic behaviour of generalized threshold functions",

abstract = "It is shown that, for a function Δ from {0, 1}n to {0, 1}n whose components from a symmetric set of threshold functions the repeated application of Δ, leads either to a fixed point or to a cycle of length two.",

author = "E. Goles and J. Olivos",

year = "1980",

doi = "10.1016/0012-365X(80)90121-1",

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journal = "Discrete Mathematics",

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AU - Olivos, J.

PY - 1980

Y1 - 1980

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AB - It is shown that, for a function Δ from {0, 1}n to {0, 1}n whose components from a symmetric set of threshold functions the repeated application of Δ, leads either to a fixed point or to a cycle of length two.

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U2 - 10.1016/0012-365X(80)90121-1

DO - 10.1016/0012-365X(80)90121-1

M3 - Article

AN - SCOPUS:0001075401

SN - 0012-365X

VL - 30

SP - 187

EP - 189

JO - Discrete Mathematics

JF - Discrete Mathematics

IS - 2

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Periodic behaviour of generalized threshold functions

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