-
subgraphs formed in this way. The
branchwidth of G is the
minimum width of any branch-decomposition of G.
Branchwidth is
closely related to tree-width:...
- the
branchwidth of the
graph is
equal to the
branchwidth of its ****ociated
graphic matroid. The
branchwidth of a
matroid always equals the
branchwidth of...
- tree-like a
given graph is.
Others include the
treewidth and
branchwidth. The
branchwidth of a
graph is
defined similarly to
carving width,
using hierarchical...
- hdl:1874/18312. Bodlaender, Hans L.; Thilikos,
Dimitrios M. (1999), "Graphs with
branchwidth at most three",
Journal of Algorithms, 32 (2): 167–194, doi:10.1006/jagm...
-
pentagonal prism) and one of four
minimal forbidden minors for the
graphs of
branchwidth at most
three (the
other three being K5, the
graph of the octahedron...
-
bounded by some
fixed constant;
graphs with treewidth, pathwidth, or
branchwidth bounded by some
fixed constant. Some
examples of
finite obstruction sets...
- has
treewidth at most 2 and
branchwidth at most 2. Indeed, a
graph has
treewidth at most 2 if and only if it has
branchwidth at most 2, if and only if every...
-
subgraph in
which all
connected components are stars. The
graphs of
branchwidth 1 are
exactly the
graphs in
which each
connected component is a star...
- two
subtrees separated by e. The
branchwidth of G is the
minimum width of any branch-decomposition of G.
branchwidth See branch-decomposition. bridge...
- Branch-decomposition, a
hierarchical clustering of the
edges of a graph, and
branchwidth, a
graph parameter defined from
these decompositions Branch (mathematical...
