Blar i Bergen Open Research Archive på forfatter "Vågset, Erlend Raa"
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ETH-Tight Algorithms for Finding Surfaces in Simplicial Complexes of Bounded Treewidth
Black, Mitchell; Blaser, Nello; Nayyeri, Amir; Vågset, Erlend Raa (Journal article; Peer reviewed, 2022)Given a simplicial complex with n simplices, we consider the Connected Subsurface Recognition (c-SR) problem of finding a subcomplex that is homeomorphic to a given connected surface with a fixed boundary. We also study ... -
Log Hochschild Homology of Categorical Products and Coproducts
Vågset, Erlend Raa (Master thesis, 2017-07-26)As the front page implies, this is a thesis about log Hochschild homology. Our primary goal will be to understand how the log Hochschild homology groups acts on products and coproducts in the category of commutative pre-log ... -
Optimal Parameterized Algorithms for Solving NP-Hard Problems in Topology
Vågset, Erlend Raa (Doctoral thesis, 2024-11-22)Denne avhandlingen fokuserer på tre sentrale utfordringer innen algoritmisk topologi: homologibeliggenhetsproblemet, det minste omkransede kjedeproblemet og underflategjenkjenningsproblemet. Selv om disse problemene er ... -
The parameterized complexity of finding minimum bounded chains
Blaser, Nello; Brun, Morten; Salbu, Lars Moberg; Vågset, Erlend Raa (Journal article; Peer reviewed, 2024)Finding the smallest d-chain with a specific (d − 1)-boundary in a simplicial complex is known as the Minimum Bounded Chain problem (MBCd). MBCd is NP-hard for all d ≥2. In this paper, we prove that it is also W[1]-hard ...