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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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Showing 2021Show all

8 papers · 1 filter

cs.DS2021

Compound Logics for Modification Problems

Fedor V. Fomin, Petr A. Golovach, Ignasi Sau +2

We introduce a novel model-theoretic framework inspired from graph modification and based on the interplay between model theory and algorithmic graph minors. The core of our framew…

cs.DS2021

FPT algorithms for packing -safe spanning rooted sub(di)graphs

Stéphane Bessy, Florian Hörsch, Ana Karolinna Maia +2

We study three problems introduced by Bang-Jensen and Yeo [Theor. Comput. Sci. 2015] and by Bang-Jensen, Havet, and Yeo [Discret. Appl. Math. 2016] about finding disjoint "balanced…

cs.DS2021

Hitting minors on bounded treewidth graphs. III. Lower bounds

Julien Baste, Ignasi Sau, Dimitrios M. Thilikos

For a finite collection of graphs , the -M-DELETION problem consists in, given a graph and an integer , decide whether there exists wi…

cs.DS2021

Hitting minors on bounded treewidth graphs. II. Single-exponential algorithms

Julien Baste, Ignasi Sau, Dimitrios M. Thilikos

For a finite collection of graphs , the -M-DELETION (resp. -TM-DELETION) problem consists in, given a graph and an integer , decide whether the…

math.CO2021★ 1 cited

k-apices of minor-closed graph classes. I. Bounding the obstructions

Ignasi Sau, Giannos Stamoulis, Dimitrios M. Thilikos

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

cs.DS2021

Parameterized complexity of computing maximum minimal blocking and hitting sets

Júlio Araújo, Marin Bougeret, Victor A. Campos +1

A blocking set in a graph is a subset of vertices that intersects every maximum independent set of . Let be the size of a maximum (inclusion-wise) minimal bl…