- In mathematics, and more
specifically in
graph theory, a
polytree (also
called directed tree,
oriented tree or
singly connected network) is a directed...
-
equivalently a
disjoint union of trees. A
directed tree,
oriented tree,
polytree, or
singly connected network is a
directed acyclic graph (DAG)
whose underlying...
-
acyclic undirected graph, or
equivalently a
disjoint union of trees. A
polytree (or
directed tree or
oriented tree or
singly connected network) is a directed...
- tree. A
polytree (also
called a
directed tree) is a
multitree formed by
orienting the
edges of an
undirected tree. An
arborescence is a
polytree formed...
- any
directed cycles Forest (graph theory), an
undirected acyclic graph Polytree, a
directed graph without any
undirected cycles This
disambiguation page...
-
single edge.
Orientations of
trees are
always acyclic, and give rise to
polytrees.
Acyclic orientations of
complete graphs are
called transitive tournaments...
- }}\leq 2{\frac {3}{11}}} , and it is
conjectured that the
limit is 2. A
polytree, a
directed acyclic graph formed by
orienting the
edges of an undirected...
- A
polytree is an
orientation of an
undirected tree. Sumner's
conjecture states that
every tournament with 2n – 2
vertices contains every polytree with...
-
formulated it as an
exact inference algorithm on trees,
later extended to
polytrees.
While the
algorithm is not
exact on
general graphs, it has been shown...
-
graphs for
polytrees. The
conjecture was
proven for all
large n {\displaystyle n} by
Daniela Kühn,
Richard Mycroft, and
Deryk Osthus. Let
polytree P {\displaystyle...
