- the
treewidth of an
undirected graph is an
integer number which specifies, informally, how far the
graph is from
being a tree. The
smallest treewidth is...
-
decomposition is a
mapping of a
graph into a tree that can be used to
define the
treewidth of the
graph and
speed up
solving certain com****tional
problems on the...
-
coloring may be
solved in
polynomial time when the
input is chordal. The
treewidth of an
arbitrary graph may be
characterized by the size of the cliques...
- And as with
treewidth, many
graph optimization problems may be
solved efficiently for
graphs of
small branchwidth. However,
unlike treewidth, the branchwidth...
-
graphs and the star
height of
regular languages. Intuitively,
where the
treewidth of a
graph measures how far it is from
being a tree, this
parameter measures...
- second-order
logic of
graphs can be
decided in
linear time on
graphs of
bounded treewidth. The
result was
first proved by
Bruno Courcelle in 1990 and independently...
- embedding, Hadwiger's conjecture, YΔY-reducible graphs, and
relations between treewidth and
graph diameter. Apex
graphs are
closed under the
operation of taking...
-
introduced by
Seymour &
Thomas (1993) as a tool for
characterizing the
treewidth of graphs.
Their other applications include proving the
existence of small...
- with each of the subgraphs.
Brambles may be used to
characterize the
treewidth of G. A
haven of
order k in a
graph G is a
function β that maps each set...
-
whose treewidth is
bounded by a
constant can be
performed in
polynomial time. Here, the
treewidth can be the
primal treewidth, dual
treewidth, or incidence...
