LE SEUIL DE RECONSTRUCTIBILITÉ PAR LE HAUT MODULO LA DUALITÉ DES RELATIONS BINAIRES FINIES
Given a binary relation R of basis E ,wedefine its dual R by R (x,y )=R (y,x ).Arelation R is self-dual if it is isomorphic to R .Abinaryrelation R 0 is hemimorphic to R ,ifitisisomor-phic to R or to R .Arelation R defined on n elements is ( <FONT FACE=Symbol>¾</FONT>k )-half...
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| Lenguaje: | English |
| Publicado: |
Universidad Católica del Norte, Departamento de Matemáticas
2003
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| Materias: | |
| Acceso en línea: | http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172003000300004 |
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| Sumario: | Given a binary relation R of basis E ,wedefine its dual R by R (x,y )=R (y,x ).Arelation R is self-dual if it is isomorphic to R .Abinaryrelation R 0 is hemimorphic to R ,ifitisisomor-phic to R or to R .Arelation R defined on n elements is ( <FONT FACE=Symbol>¾</FONT>k )-half - reconstructible if it is determined, up to hemimorphism, by its restrictions of cardinality (n <FONT FACE=Symbol>¾</FONT>k ). From [8] follows the ( <FONT FACE=Symbol>¾</FONT>d )-half-reconstructibility of finite binary relations, for all d <FONT FACE=Symbol>³</FONT>12.Weestab-lish the ( <FONT FACE=Symbol>¾</FONT>d )-half-reconstructibility of finite binary relations, for all d <FONT FACE=Symbol>Î</FONT>{ 11 ,10 ,9 ,8 ,7 ,6 } . |
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