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

Research output: Contribution to journal › Article › peer-review

102 Scopus citations

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.

Original language	English
Pages (from-to)	187-189
Number of pages	3
Journal	Discrete Mathematics
Volume	30
Issue number	2
DOIs	https://doi.org/10.1016/0012-365X(80)90121-1
State	Published - 1980
Externally published	Yes

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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",

language = "English",

volume = "30",

pages = "187--189",

journal = "Discrete Mathematics",

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AU - Goles, E.

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.

UR - https://www.scopus.com/pages/publications/0001075401

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

ER -

Periodic behaviour of generalized threshold functions

Abstract

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