Adjacencies stand at the beginning of a multitude of planning tasks. Especially in hospital planning they are essential for describing relationships between different organizational units – e.g. ‘close’, ‘distant’ or ‘neutral’. Mathematically, these terms map to relative weights between each pair of units in the range [-1, 1] which are put into a (symmetric) adjacency matrix. This matrix subseq...

When children learn their native language, they have to deal with a confusing array of dependencies between various elements in an utterance. The dependent elements may be adjacent to one another or separated by intervening material. Prior studies suggest that nonadjacent dependencies are hard to learn when the intervening material has little variability, which may be due to a tradeoff between ...

Introduction Software implementations for graph structures can represent a graph as an adjacency list or a sparse adjacency matrix. There are no standards regarding the implementation details of adjacency list or adjacency matrix structures. Notable parties propose different implementations for adjacency lists [1]. Guido van Rossum suggests using a hash table with arrays, where the arrays indic...

This paper shows some useful properties of the adjacency structures of a class of combinatorial polyhedra including the equality constrained 0-1 polytopes. The class of polyhedra considered here includes 0-1 polytopes related to some combinatorial optimization problems; e.g., set partitioning polytopes, set packing polytopes, perfect matching polytopes, vertex packing polytopes and all the face...