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Benjamin Bergougnoux

Possible papers associated with this exact author name in Arrow. This page groups case-insensitive exact name matches and is not a full identity disambiguation profile.

4 papers
2 author rows

Possible papers

4

TCS Journal 2026 Journal Article

Hamiltonicity parameterized by mim-width is (indeed) para-NP-hard

  • Benjamin Bergougnoux
  • Lars Jaffke

We prove that Hamiltonian Path and Hamiltonian Cycle are NP-hard on graphs of linear mim-width 26, even when a linear order of the input graph with mim-width 26 is provided together with input. This fills a gap left by a broken proof of the para-NP-hardness of Hamiltonicity problems parameterized by mim-width.

TCS Journal 2019 Journal Article

Fast exact algorithms for some connectivity problems parameterized by clique-width

  • Benjamin Bergougnoux
  • Mamadou Kanté

Given a clique-width k-expression of a graph G, we provide 2 O ( k ) ⋅ n time algorithms for connectivity constraints on locally checkable properties such as Node-Weighted Steiner Tree, Connected Dominating Set, or Connected Vertex Cover. We also propose a 2 O ( k ) ⋅ n time algorithm for Feedback Vertex Set. The best running times for all the considered problems were 2 O ( k ⋅ log ⁡ ( k ) ) ⋅ n O ( 1 ).

MFCS Conference 2017 Conference Paper

Towards a Polynomial Kernel for Directed Feedback Vertex Set

  • Benjamin Bergougnoux
  • Eduard Eiben
  • Robert Ganian
  • Sebastian Ordyniak
  • M. S. Ramanujan 0001

In the Directed Feedback Vertex Set (DFVS) problem, the input is a directed graph D and an integer k. The objective is to determine whether there exists a set of at most k vertices intersecting every directed cycle of D. DFVS was shown to be fixed-parameter tractable when parameterized by solution size by Chen, Liu, Lu, O'Sullivan and Razgon [JACM 2008]; since then, the existence of a polynomial kernel for this problem has become one of the largest open problems in the area of parameterized algorithmics. In this paper, we study DFVS parameterized by the feedback vertex set number of the underlying undirected graph. We provide two main contributions: a polynomial kernel for this problem on general instances, and a linear kernel for the case where the input digraph is embeddable on a surface of bounded genus.