CARACTERISATION DES RELATIONS BINAIRES FINIES D-DEMI-RECONSTRUCTIBLES

Given a binary relation R of basis E, we define its dual R*by R* (x, y) = R(y, x). A relation R is self-dual if it is isomorphic to R*. A binary relation R' is hemimorphic to R, if it is isomorphic to R or to R*. A binary relation R is d-half-reconstructible if it is determined by its restricti...

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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=S0716-09172003000100003
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Sumario:Given a binary relation R of basis E, we define its dual R*by R* (x, y) = R(y, x). A relation R is self-dual if it is isomorphic to R*. A binary relation R' is hemimorphic to R, if it is isomorphic to 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 characterize the finite binary relations d-half-reconstructibile for every d <FONT FACE=Symbol>Îí</FONT>7, 8, 9, 10, 11<FONT FACE=Symbol>ý</FONT>.