Y. Boudabbous et G. Lopez, MORPHOLOGY OF THE PAIRS OF RELATIONS SATI SFYING HYPOMORPHY AND HEMIMORPHY CONDITIONS, Comptes rendus de l'Academie des sciences. Serie 1, Mathematique, 318(11), 1994, pp. 979-982
This Note deals with the pairs of binary relations which have the same
basis and which the 3-element restrictions are isomorphic and those o
f 5-element restrictions are isomorphic or anti-isomorphic. We obtain
a decomposition of this relations in classes that we will characterize
. As application, we give the threshold of half-reconstruction for tou
rnaments.