Examples of 'treewidth' in a sentence
Meaning of "treewidth"
Treewidth: in graph theory, this term refers to a measure of how 'tree-like' a graph is. It is used to analyze the complexity of algorithms in graphical models
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- The width (maximum number of nodes or leaves at any level) of a tree.
How to use "treewidth" in a sentence
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treewidth
We estimate the number of labeled graphs of bounded treewidth.
Treewidth and havens.
The relevant parameter is then the treewidth of the primal constraint graph.
Treewidth may be defined as size of the largest vertex set in a tree decomposition.
The pentagonal prism is one of the forbidden minors for the graphs of treewidth three.
Treewidth is commonly used as a parameter in the parameterized complexity analysis of graph algorithms.
Pathwidth and path-decompositions are closely analogous to treewidth and tree decompositions.
The treewidth of G is the minimum width over all tree decompositions of G.
All of these methods have complexity that is exponential in the network 's treewidth.
In graph theory, the treewidth of an undirected graph is a number associated with the graph.
In fact, it is enough to assume that the core of G has treewidth at most k.
In the other direction, the treewidth of a graph is at most equal to its tree-depth.
More generally, k-outerplanar graphs have treewidth Ok.
For any fixed constant k, the graphs of treewidth at most k are called the partial k-trees.
Graphs of treewidth k have book thickness at most k + 1 and this bound is tight for k > 2.
See also
Every outerplanar graph is 3-colorable, and has degeneracy and treewidth at most 2.
Every complete graph Kn has treewidth n - 1.
Havens were first introduced by Seymour & Thomas ( 1993 ) as a tool for characterizing the treewidth of graphs.
Brambles may be used to characterize the treewidth of G. [ 1 ].
Every Halin graph has treewidth = 3.
