LA (-5)-DEMI-RECONSTRUCTIBILITÉDES RELATIONS BINAIRES CONNEXES 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 *. A binary relation R 0 is hemimorphic to R ,ifitisisomorphicto R or to R *. A binary relation R is d -half-reconstructible if it is determined by its restrictions of c...

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Autor principal: DAMMAK,JAMEL
Lenguaje:English
Publicado: Universidad Católica del Norte, Departamento de Matemáticas 2003
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Acceso en línea:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172003000300002
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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 *. A binary relation R 0 is hemimorphic to R ,ifitisisomorphicto R or to R *. A binary relation R is d -half-reconstructible if it is determined by its restrictions of cardinality d , up to hemimorphism. In this paper we obtain : The finite connected binary relations of cardinality n =12 are (n -5)-half -reconstructible