liu.seSearch for publications in DiVA
Change search
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • oxford
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf
On the Parameterized Complexity of the Perfect Phylogeny Problem
Linköping University, Department of Computer and Information Science, Artificial Intelligence and Integrated Computer Systems. Linköping University, Faculty of Science & Engineering. Univ Utrecht, Netherlands.
2024 (English)In: SOFSEM 2024: THEORY AND PRACTICE OF COMPUTER SCIENCE, SPRINGER INTERNATIONAL PUBLISHING AG , 2024, Vol. 14519, p. 169-182Conference paper, Published paper (Refereed)
Abstract [en]

This paper categorizes the parameterized complexity of the algorithmic problems PERFECT PHYLOGENY and TRIANGULATING COLORED GRAPHS when parameterized by the number of genes and colors, respectively. We show that they are complete for the parameterized complexity class XALP using a reduction from TREE-CHAINED MULTICOLOR INDEPENDENT SET and a proof of membership. We introduce the problem TRIANGULATING MULTICOLORED GRAPHS as a stepping stone and prove XALP-completeness for this problem as well. We also show that, assuming the Exponential Time Hypothesis, there exists no algorithm that solves any of these problems in time f(k)n(o(k)), where n is the input size, k the parameter, and f any computable function.

Place, publisher, year, edition, pages
SPRINGER INTERNATIONAL PUBLISHING AG , 2024. Vol. 14519, p. 169-182
Series
Lecture Notes in Computer Science, ISSN 0302-9743
Keywords [en]
Perfect phylogeny; Triangulated graphs; XALP; Parameterized complexity; W-hierarchy
National Category
Discrete Mathematics
Identifiers
URN: urn:nbn:se:liu:diva-203450DOI: 10.1007/978-3-031-52113-3_12ISI: 001206989000012ISBN: 9783031521126 (print)ISBN: 9783031521133 (electronic)OAI: oai:DiVA.org:liu-203450DiVA, id: diva2:1857815
Conference
49th International Conference on Current Trends in Theory and Practice of Computer Science (SOFSEM), Cochem, GERMANY, feb 19-23, 2024
Available from: 2024-05-14 Created: 2024-05-14 Last updated: 2024-05-14

Open Access in DiVA

No full text in DiVA

Other links

Publisher's full text

Search in DiVA

By author/editor
de Vlas, Jorke
By organisation
Artificial Intelligence and Integrated Computer SystemsFaculty of Science & Engineering
Discrete Mathematics

Search outside of DiVA

GoogleGoogle Scholar

doi
isbn
urn-nbn

Altmetric score

doi
isbn
urn-nbn
Total: 31 hits
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • oxford
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf