Questions tagged [treewidth]

The tag has no usage guidance.

Filter by
Sorted by
Tagged with
2
votes
2answers
58 views

Size of tree decomposition

Given a graph $G$ with $n$ vertices, let $(X, T)$ be a tree decomposition of $G$ with the smallest width. Is the number of nodes in $T$ upper bounded by $n$? I have googled it but all materials I ...
3
votes
3answers
49 views

treewidth of a given graph

Is the treewidth of this graph equal to 2? I have tried to prove it through the definition of a tree decomposition. If its not correct can someone give any hints?
5
votes
1answer
127 views

How does treewidth behave under graph minor operations?

It is a well-known fact that for any minor H of a graph G (commonly written as $H \leq_m G$), the treewidth of H is smaller than or equal to that of G. Minors of a graph are created through the ...