The mathematics of xenology: di-cographs, symbolic ultrametrics, 2-structures and tree-representable systems of binary relations
DOI10.1007/s00285-016-1084-3zbMath1368.05023arXiv1603.02467OpenAlexW2294558945WikidataQ50541297 ScholiaQ50541297MaRDI QIDQ2014353
Marc Hellmuth, Peter F. Stadler, Nicolas Wieseke
Publication date: 11 August 2017
Published in: Journal of Mathematical Biology (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1603.02467
NP-completenessrecognition algorithminteger linear programorthologs2-structuressymbolic ultrametricgene treedi-cographparalogsuniformly non-prime decompositionxenologs
Trees (05C05) Problems related to evolution (92D15) Applications of graph theory (05C90) Computational difficulty of problems (lower bounds, completeness, difficulty of approximation, etc.) (68Q17)
Related Items
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Characterization and complexity of uniformly nonprimitive labeled 2-structures
- Theory of 2-structures. I: Clans, basic subclasses, and morphisms
- Theory of 2-structures. II: Representation through labeled tree families
- Primitivity is hereditary for 2-structures
- Complement reducible graphs
- Recovering symbolically dated, rooted trees from symbolic ultrametrics
- Correction of weighted orthology and paralogy relations -- complexity and algorithmic results
- Linear-time modular decomposition of directed graphs
- An \(O(n^ 2)\) incremental algorithm for modular decomposition of graphs and 2-structures
- Orthology relations, symbolic ultrametrics, and cographs
- Critically indecomposable partially ordered sets, graphs, tournaments and other binary relational structures
- Fully dynamic recognition algorithm and certificate for directed cographs
- On Symbolic Ultrametrics, Cotree Representations, and Cograph Edge Decompositions and Partitions
- The Recognition of Series Parallel Digraphs
- Graph Classes: A Survey
- An O(n2) Divide-and-Conquer Algorithm for the Prime Tree Decomposition of Two-Structures and Modular Decomposition of Graphs
- Theory of 2-structures
- Orthology Relation and Gene Tree Correction: Complexity Results