Feb 15, 2022 · We prove that if G_1 has treewidth k and G_2 has pathwidth \ell, then there is an n-vertex graph of treewidth at most k + 3 \ell + 1 containing both G_1 and G_ ...

A partial k -tree is a (not necessarily induced) subgraph of a k -tree. The treewidth of a graph G is equal to the least k such that G is a partial k -tree.

We also provide an extensive study of cases where such `gluing' is possible. In particular, we prove that if $G_1$ has treewidth $k$ and $G_2$ has pathwidth $\ ...

Sep 9, 2024 · A spanning tree of a graph is a k-additive tree spanner whenever the distance of every two vertices in the graph or in the tree differs by at ...

The treewidth and pathwidth of graph unions ; Published · First Published in SIAM Journal on Discrete Mathematics in 38(1) 2024, published by the Society for ...

Apr 25, 2024 · Given two n-vertex graphs G1 and G2 of bounded treewidth, is there an n-vertex graph G of bounded treewidth having subgraphs isomorphic to ...

The Treewidth and Pathwidth of Graph Unions. Alecu, Bogdan; Lozin, Vadim V.; Quiroz, Daniel A.; Rabinovich, Roman; Razgon, Igor; Zamaraev, Viktor.

In this paper, we show that the treewidth and pathwidth of a permutation graph can be computed in polynomial time. In fact we show that, for permutation graphs, ...

The Treewidth and Pathwidth of Graph Unions. Alecu, Bogdan; Lozin, Vadim V.; Quiroz, Daniel A.; Rabinovich, Roman; Razgon, Igor; Zamaraev, Viktor.

Feb 15, 2022 · We examine the behaviour of the treewidth and pathwidth of graphs under this "gluing" operation. We show that under certain conditions on G_1 ...