In graph theory, the hypergraph [22] extends the traditional graph structure by allowing
edges to connect multiple vertices, and this concept is further broadened by the …

Written by prominent experts in the field, this monograph provides the first comprehensive,
unified presentation of the structural, algorithmic and applied aspects of the theory of …

Hypergraphs are useful mathematical models for describing complex relationships among
members of a structured graph, while hyperdigraphs serve as a generalization that can …

Just as ordinary hypergraphs are a generalization of graphs, directed hypergraphs (DH) are
a natural generalization of digraphs. A DH consists of a set of vertices V and a set of …

Hypergraphs offer a natural modeling language for studying polyadic interactions between
sets of entities. Many polyadic interactions are asymmetric, with nodes playing distinctive …

Graph orientation is a well-studied area of combinatorial optimization, one that provides a
link between directed and undirected graphs. An important class of questions that arise in …

Quantitativeapproachesforsolvingproductio… problems in industry have gained growing
importance in the past years. Due to the increasinguse of AdvancedPlanningSystems, a …

We introduce a notion of hyperconnection (formally called L-hyperpath) between vertices in
a directed hypergraph and relate this notion to existing notions of hyperpaths in directed …

Background A classical problem in metabolic design is to maximize the production of a
desired compound in a given chemical reaction network by appropriately directing the mass …

High-order structures have been recognised as suitable models for systems going beyond
the binary relationships for which graph models are appropriate. Despite their importance …