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20092026
most citedCross-Composition: A New Technique for Kernelization Lower Bounds

114 citations · 306 across the 50 of their papers we have counts for

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47 papers · 1 filter

cs.DS2026

A faster polynomial-space algorithm for Hamiltonian cycle parameterized by treedepth

Stefan Kratsch

A large number of NP-hard graph problems can be solved in time and space when the input graph is provided together with a tree decomposition of width , in many ca…

cs.DS2025

Tight Bounds for Feedback Vertex Set Parameterized by Clique-width

Narek Bojikian, Stefan Kratsch

We introduce a new notion of acyclicity representation in labeled graphs, and present three applications thereof. Our main result is an algorithm that, given a graph and a -…

cs.DS2025★ 1 cited

Boundaried Kernelization

Leonid Antipov, Stefan Kratsch

The notion of a (polynomial) kernelization from parameterized complexity is a well-studied model for efficient preprocessing for hard computational problems. By now, it is quite we…

cs.DS2025

Tight Bounds for some Classical Problems Parameterized by Cutwidth

Narek Bojikian, Vera Chekan, Stefan Kratsch

Cutwidth is a widely studied parameter that quantifies how well a graph can be decomposed along small edge-cuts. It complements pathwidth, which captures decomposition by small ver…

cs.DS2025

Efficient parameterized approximation

Stefan Kratsch, Pascal Kunz

Many problems are NP-hard and, unless P = NP, do not admit polynomial-time exact algorithms. The fastest known exact algorithms exactly usually take time exponential in the input s…

cs.DS2024★ 1 cited

On polynomial kernelization for Stable Cutset

Stefan Kratsch, Van Bang Le

A stable cutset in a graph is a set such that vertices of are pairwise non-adjacent and such that is disconnected, i.e., it is both stable (or indep…