- 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...
- theory, a
balanced hypergraph is a
hypergraph that has
several properties analogous to that of a
bipartite graph.
Balanced hypergraphs were
introduced by...
- 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...
-
hypergraph with n hyperedges, one may n-color the
vertices such that each
hyperedge has one
vertex of each color. A
simple hypergraph is a
hypergraph...
-
Altair Engineering Inc. is an
American multinational information technology company headquartered in Troy, Michigan. It
provides software and
cloud solutions...
- In
graph theory, the term
bipartite hypergraph describes several related classes of
hypergraphs, all of
which are
natural generalizations of a bipartite...
- 1908.
Property B is
equivalent to 2-coloring the
hypergraph described by the
collection C. A
hypergraph with
property B is also
called 2-colorable.: 468 ...
-
model a
hypergraph in
which U is the set of
vertices of the
hypergraph, V is the set of hyperedges, and E
contains an edge from a
hypergraph vertex v...
- theory, Hall-type
theorems for
hypergraphs are
several generalizations of Hall's
marriage theorem from
graphs to
hypergraphs. Such
theorems were
proved by...
