Typical Sequences Revisited — Computing Width Parameters of Graphs

Author:

Bodlaender Hans L.ORCID,Jaffke LarsORCID,Telle Jan Arne

Abstract

AbstractIn this work, we give a structural lemma on merges of typical sequences, a notion that was introduced in 1991 [Lagergren and Arnborg, Bodlaender and Kloks, both ICALP 1991] to obtain constructive linear time parameterized algorithms for treewidth and pathwidth. The lemma addresses a runtime bottleneck in those algorithms but so far it does not lead to asymptotically faster algorithms. However, we apply the lemma to show that the cutwidth and the modified cutwidth of series parallel digraphs can be computed in polynomial time.

Funder

Bergens Forskningsstiftelse

Nederlandse Organisatie voor Wetenschappelijk Onderzoek

Publisher

Springer Science and Business Media LLC

Subject

Computational Theory and Mathematics,Theoretical Computer Science

Cited by 3 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. A Single-Exponential Time 2-Approximation Algorithm for Treewidth;SIAM Journal on Computing;2023-11-14

2. An Improved Parameterized Algorithm for Treewidth;Proceedings of the 55th Annual ACM Symposium on Theory of Computing;2023-06-02

3. A Single-Exponential Time 2-Approximation Algorithm for Treewidth;2021 IEEE 62nd Annual Symposium on Foundations of Computer Science (FOCS);2022-02

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