Skip to Main content Skip to Navigation
Conference papers

Incremental complexity of a bi-objective hypergraph transversal problem

Abstract : The hypergraph transversal problem has been intensively studied, from both a theoretical and a practical point of view. In particular , its incremental complexity is known to be quasi-polynomial in general and polynomial for bounded hypergraphs. Recent applications in computational biology however require to solve a generalization of this problem, that we call bi-objective transversal problem. The instance is in this case composed of a pair of hypergraphs (A, B), and the aim is to find minimal sets which hit all the hyperedges of A while intersecting a minimal set of hyperedges of B. In this paper, we formalize this problem, link it to a problem on monotone boolean ∧ − ∨ formulae of depth 3 and study its incremental complexity.
Complete list of metadata

Cited literature [16 references]  Display  Hide  Download
Contributor : Etienne Birmele Connect in order to contact the contributor
Submitted on : Friday, May 22, 2015 - 12:29:33 PM
Last modification on : Wednesday, May 25, 2022 - 2:12:02 PM
Long-term archiving on: : Monday, September 14, 2015 - 8:02:58 PM


Files produced by the author(s)



Ricardo Andrade, Etienne E. Birmelé, Arnaud Mary, Thomas Picchetti, Marie-France Sagot. Incremental complexity of a bi-objective hypergraph transversal problem. Fundamentals of Computation Theory (FCT2015), Aug 2015, Gdansk, Poland. pp.202-213, ⟨10.1007/978-3-319-22177-9_16⟩. ⟨hal-01149392⟩



Record views


Files downloads