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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 associated graphic matroid. The branchwidth of a matroid always equals the branchwidth of...

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...

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...

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...

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...

bounded by some fixed constant; graphs with treewidth, pathwidth, or branchwidth bounded by some fixed constant. Some examples of finite obstruction sets...

two subtrees separated by e. The branchwidth of G is the minimum width of any branch-decomposition of G. branchwidth See branch-decomposition. bridge...

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...

Branch-decomposition, a hierarchical clustering of the edges of a graph, and branchwidth, a graph parameter defined from these decompositions Branch (mathematical...

width O ( n ) {\displaystyle O({\sqrt {n}})} and any planar graph has branchwidth O ( n ) {\displaystyle O({\sqrt {n}})} . Although many other related...

clustering of vertices, making it more closely related to treewidth or branchwidth and less similar to the other width parameters involving linear orderings...

Fomin, Fedor V.; Korhonen, Tuukka (2022), "Fast FPT-approximation of branchwidth", Proceedings of the 54th Annual ACM SIGACT Symposium on Theory of Computing...