- 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...
-
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...
- And as with
treewidth, many
graph optimization problems may be
solved efficiently for
graphs of
small branchwidth. However,
unlike treewidth, the branchwidth...
- 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...
-
structural complexity of the graph; it is
closely related to
treewidth, but
unlike treewidth it can be
small for
dense graphs. It is
defined as the minimum...
-
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...
- embedding, Hadwiger's conjecture, YΔY-reducible graphs, and
relations between treewidth and
graph diameter. Apex
graphs are
closed under the
operation of taking...
- in
polynomial time for
graphs of
bounded treewidth, but the
exponent of the
polynomial depends on the
treewidth. It may be
solved in
linear time for precoloring...
