[HTML][HTML] The complexity of minimum-length path decompositions

D Dereniowski, W Kubiak, Y Zwols - Journal of Computer and System …, 2015 - Elsevier
We consider a bicriterion generalization of the pathwidth problem: given integers k, l and a
graph G, does there exist a path decomposition of G of width at most k and length (ie …

[HTML][HTML] Minimum size tree-decompositions

B Li, FZ Moataz, N Nisse, K Suchan - Discrete Applied Mathematics, 2018 - Elsevier
We study in this paper the problem of computing a tree-decomposition of a graph with width
at most k and minimum number of bags. More precisely, we focus on the following problem …

Minimum size tree-decompositions

B Li, FZ Moataz, N Nisse, K Suchan - Electronic Notes in Discrete …, 2015 - Elsevier
Tree-decompositions are the corner-stone of many dynamic programming algorithms for
solving graph problems. Since the complexity of such algorithms generally depends …