- of the
largest clique minor.
hyperarc A
directed hyperedge having a
source and
target set.
hyperedge An edge in a hypergraph,
having any
number of endpoints...
-
these pairs ( D , C ) ∈ E {\displaystyle (D,C)\in E} is
called an edge or
hyperedge; the
vertex subset D {\displaystyle D} is
known as its tail or domain...
-
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...
- that each
hyperedge contains exactly one
yellow vertex. In
other words, V can be
partitioned into two sets X and Y, such that each
hyperedge contains exactly...
- then all of the
copies can be
eliminated by
removing a
small number of
hyperedges. It is a
generalization of the
graph removal lemma. The
special case in...
-
property that
every two
hyperedges have at most one
vertex in common. A
hypergraph is said to be
uniform if all of its
hyperedges have the same
number of...
- 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 set. It is an extension...
- {\displaystyle H=(V,E)}
consists of a set of
vertices V, and of a set E of
hyperedges, each of
which is a
subset of the
vertices V.
Given a hypergraph, we can...
- X and Y, such that each
hyperedge meets both X and Y. Equivalently, the
vertices of H can be 2-colored so that no
hyperedge is monochromatic.
Every bipartite...
-
other words, H is a
hypertree if
there exists a tree T such that
every hyperedge of H is the set of
vertices of a
connected subtree of T.
Hypertrees have...
