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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spelling oai:scielo:S0716-091720030001000032003-07-21CARACTERISATION DES RELATIONS BINAIRES FINIES D-DEMI-RECONSTRUCTIBLESDAMMAK,JAMEL Relation de différence Relation binaire Graphe Hypomorphe Hémimorphe Reconstruction 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>.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.22 n.1 20032003-05-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172003000100003en10.4067/S0716-09172003000100003
institution Scielo Chile
collection Scielo Chile
language English
topic Relation de différence
Relation binaire
Graphe
Hypomorphe
Hémimorphe
Reconstruction
spellingShingle Relation de différence
Relation binaire
Graphe
Hypomorphe
Hémimorphe
Reconstruction
DAMMAK,JAMEL
CARACTERISATION DES RELATIONS BINAIRES FINIES D-DEMI-RECONSTRUCTIBLES
description 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>.
author DAMMAK,JAMEL
author_facet DAMMAK,JAMEL
author_sort DAMMAK,JAMEL
title CARACTERISATION DES RELATIONS BINAIRES FINIES D-DEMI-RECONSTRUCTIBLES
title_short CARACTERISATION DES RELATIONS BINAIRES FINIES D-DEMI-RECONSTRUCTIBLES
title_full CARACTERISATION DES RELATIONS BINAIRES FINIES D-DEMI-RECONSTRUCTIBLES
title_fullStr CARACTERISATION DES RELATIONS BINAIRES FINIES D-DEMI-RECONSTRUCTIBLES
title_full_unstemmed CARACTERISATION DES RELATIONS BINAIRES FINIES D-DEMI-RECONSTRUCTIBLES
title_sort caracterisation des relations binaires finies d-demi-reconstructibles
publisher Universidad Católica del Norte, Departamento de Matemáticas
publishDate 2003
url http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172003000100003
work_keys_str_mv AT dammakjamel caracterisationdesrelationsbinairesfiniesddemireconstructibles
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