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20082025
most citedAn FPT 2-Approximation for Tree-Cut Decomposition

23 citations · 60 across the 50 of their papers we have counts for

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cs.DS2025

Kernelization dichotomies for hitting minors under structural parameterizations

Marin Bougeret, Eric Brandwein, Ignasi Sau

For a finite collection of connected graphs , the -MINOR-DELETION problem consists in, given a graph and an integer , deciding whether conta…

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.DS2024

Constant congestion linkages in polynomially strong digraphs in polynomial time

Raul Lopes, Ignasi Sau

Given integers , we say that a digraph is -linked if for every pair of ordered sets and of vertices of , there…

cs.DS2024

Kernelization Dichotomies for Hitting Subgraphs under Structural Parameterizations

Marin Bougeret, Bart M. P. Jansen, Ignasi Sau

For a fixed graph , the -SUBGRAPH HITTING problem consists in deleting the minimum number of vertices from an input graph to obtain a graph without any occurrence of as a…

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…