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Computing subset transversals in H-free graphs

Brettell, N. and Johnson, M. and Paesani, G. and Paulusma, D. (2022) 'Computing subset transversals in H-free graphs.', Theoretical Computer Science, 902 . pp. 76-92.


we study the computational complexity of two well-known graph transversal problems, namely Subset Feedback Vertex Set and Subset Odd Cycle Transversal, by restricting the input to H-free graphs, that is, to graphs that do not contain some fixed graph H as an induced subgraph. By combining known and new results, we determine the computational complexity of both problems on H-free graphs for every graph H except when H = sP1 + P4 for some s ≥ 1. As part of our approach, we introduce the Subset Vertex Cover problem and prove that it is polynomial-time solvable for (sP1 + P4)-free graphs for every s ≥ 1

Item Type:Article
Full text:Publisher-imposed embargo until 21 December 2022.
(AM) Accepted Manuscript
Available under License - Creative Commons Attribution Non-commercial No Derivatives 4.0.
File format - PDF
Publisher Web site:
Publisher statement:© 2021 This manuscript version is made available under the CC-BY-NC-ND 4.0 license
Date accepted:17 December 2021
Date deposited:04 January 2022
Date of first online publication:21 December 2021
Date first made open access:21 December 2022

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