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20082026
most citedRank-width and Tree-width of H-minor-free Graphs

30 citations · 157 across the 83 of their papers we have counts for

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cs.DS2026

Spanning Paths and Cycles: Structural Limitations of the Irrelevant Vertex Technique

Dimitrios M. Thilikos, Sebastian Wiederrecht

The Irrelevant Vertex Technique is one of the cornerstones of algorithmic graph theory, underlying Robertson and Seymour's algorithm for \textsc{Disjoint Paths} and much of the alg…

cs.DS2025

H-Planarity and Parametric Extensions: when Modulators Act Globally

Fedor V. Fomin, Petr A. Golovach, Laure Morelle +1

We introduce a series of graph decompositions based on the modulator/target scheme of modification problems that enable several algorithmic applications that parametrically extend…

cs.DS2025

Graph modification of bounded size to minor-closed classes as fast as vertex deletion

Laure Morelle, Ignasi Sau, Dimitrios M. Thilikos

A replacement action is a function that maps each graph to a collection of graphs of size at most . Given a graph class , we consider a gener…

cs.DS2024

Vertex identification to a forest

Laure Morelle, Ignasi Sau, Dimitrios M. Thilikos

Let be a graph class and . We say a graph admits a \emph{-identification to } if there is a partition of some set $X…

cs.DS2023

Dynamic programming on bipartite tree decompositions

Lars Jaffke, Laure Morelle, Ignasi Sau +1

We revisit a graph width parameter that we dub bipartite treewidth (btw). Bipartite treewidth can be seen as a common generalization of treewidth and the odd cycle transversal numb…

cs.DS2022★ 2 cited

Faster parameterized algorithms for modification problems to minor-closed classes

Laure Morelle, Ignasi Sau, Giannos Stamoulis +1

Let be a minor-closed graph class and let be an -vertex graph. We say that is a -apex of if contains a set of at most vertices such…