AbstractA median algebra is a ternary algebra which satisfies all the identities true for the median operation in distributive lattices. The relationship of median algebras to (abstract) geometries, graphs, and semilattices is discussed in detail. In particular, all intrinsic semilattice orders on a median algebra are exhibited and characterized in several ways
AbstractIt is both a well-known and useful fact that every median semilattice M may be embedded into...
AbstractA median of a k-tuple π=(x1,…,xk) of vertices of a finite connected graph G is a vertex x fo...
Mathématique/Théorie des treillis <br /> Classification AMS : 06 - Order, lattices, ordered algebrai...
AbstractA median algebra is a ternary algebra which satisfies all the identities true for the median...
International audienceIn this short note we consider a class of median algebras, called (1, 2 : 3)-s...
A median algebra is a ternary algebra that satisfies every equation satisfied by the median terms of...
peer reviewedWe characterize conservative median algebras and semilattices by means of forbidden su...
International audienceIn this paper, we study structures such as distributive lattices, distributive...
International audienceA median algebra is a ternary algebra that satisfies every equation satisfied ...
International audienceIn this paper we characterize classes of median-homomorphisms between products...
We characterize trees as median algebras and semilattices by relaxing conservativeness. Moreover, we...
International audienceHomorphisms of products of median algebras are studied with particular attenti...
We present an Arrow-like theorem for aggregation functions over convervative median algebras. In do...
AbstractWe elaborate on the convexity properties of (not necessarily finite) weakly median graphs an...
International audienceMedian semilattices have been shown to be useful for dealing with phylogenetic...
AbstractIt is both a well-known and useful fact that every median semilattice M may be embedded into...
AbstractA median of a k-tuple π=(x1,…,xk) of vertices of a finite connected graph G is a vertex x fo...
Mathématique/Théorie des treillis <br /> Classification AMS : 06 - Order, lattices, ordered algebrai...
AbstractA median algebra is a ternary algebra which satisfies all the identities true for the median...
International audienceIn this short note we consider a class of median algebras, called (1, 2 : 3)-s...
A median algebra is a ternary algebra that satisfies every equation satisfied by the median terms of...
peer reviewedWe characterize conservative median algebras and semilattices by means of forbidden su...
International audienceIn this paper, we study structures such as distributive lattices, distributive...
International audienceA median algebra is a ternary algebra that satisfies every equation satisfied ...
International audienceIn this paper we characterize classes of median-homomorphisms between products...
We characterize trees as median algebras and semilattices by relaxing conservativeness. Moreover, we...
International audienceHomorphisms of products of median algebras are studied with particular attenti...
We present an Arrow-like theorem for aggregation functions over convervative median algebras. In do...
AbstractWe elaborate on the convexity properties of (not necessarily finite) weakly median graphs an...
International audienceMedian semilattices have been shown to be useful for dealing with phylogenetic...
AbstractIt is both a well-known and useful fact that every median semilattice M may be embedded into...
AbstractA median of a k-tuple π=(x1,…,xk) of vertices of a finite connected graph G is a vertex x fo...
Mathématique/Théorie des treillis <br /> Classification AMS : 06 - Order, lattices, ordered algebrai...
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