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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Universidad Católica del Norte, Departamento de Matemáticas
2003
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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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1718439729288970240 |