- In mathematics, a
hypergraph is a
generalization of a
graph in
which an edge can join any
number of vertices. In contrast, in an
ordinary graph, an edge...
- In
graph theory, a
matching in a
hypergraph is a set of hyperedges, in
which every two
hyperedges are disjoint. It is an
extension of the
notion of matching...
-
Altair Engineering Inc. is an
American multinational information technology company headquartered in Troy, Michigan. It
provides software and
cloud solutions...
- theory, a
balanced hypergraph is a
hypergraph that has
several properties analogous to that of a
bipartite graph.
Balanced hypergraphs were
introduced by...
- hierarchies. This
approach leverages structures like
simplicial complexes and
hypergraphs to
capture global dependencies and
qualitative spatial properties, offering...
- theory, Hall-type
theorems for
hypergraphs are
several generalizations of Hall's
marriage theorem from
graphs to
hypergraphs. Such
theorems were
proved by...
-
Discrepancy of
hypergraphs is an area of
discrepancy theory that
studies the
discrepancy of
general set systems. In the
classical setting, we aim at partitioning...
- is an
algorithm that
applies to
hypergraphs. The
algorithm takes as
input a
hypergraph and
determines if the
hypergraph is α-acyclic. If so, it computes...
- In
graph theory, a
vertex cover in a
hypergraph is a set of vertices, such that
every hyperedge of the
hypergraph contains at
least one
vertex of that...
- contrast, a
hypergraph can have
multiple vertices ****igned to one edge; thus, a
general matrix of non-negative
integers describes a
hypergraph. The incidence...
