Homology localization through the looking-glass of parameterized complexity theory

Homology localization means finding a cycle of lowest weight that represents a homology class in a simplicial complex. It is an NP-complete problem, which this paper addresses using parameterized complexity theory. We prove that to find even a constant factor approximation to this problem is W[1]-ha...

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Bibliographic Details
Published in:Journal of applied and computational topology Vol. 9; no. 2
Main Authors: Blaser, Nello, Vågset, Erlend Raa
Format: Journal Article
Language:English
Published: 01.06.2025
ISSN:2367-1726, 2367-1734
Online Access:Get full text
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