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Given a finite set E, a relation with base E is a mapping R:E×E→{+,-} such that for all x∈E,R(x,x)=-. The restriction of R to a subset X of E is R considered as a mapping from X×X into {+,-}.Given an integer k⩾1 and a relation R with base E, we call (⩽k)-reconstruction of R every relation with the same base, any restriction of which to a subset X of E with up to k elements is isomorphic to the restriction...
Reconstruction questions arise when studying interactions between the isomorphic type of a structure and the isomorphic types of its substructures. In this survey paper we are interested in binary relations and particularly we focus on partially ordered binary relations. We present most of the known results on partially ordered sets and that for different kinds of reconstruction: among them we have...
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