Matches in SemOpenAlex for { <https://semopenalex.org/work/W2964289968> ?p ?o ?g. }
Showing items 1 to 94 of
94
with 100 items per page.
- W2964289968 endingPage "616" @default.
- W2964289968 startingPage "591" @default.
- W2964289968 abstract "Tree representations of (sets of) symmetric binary relations, or equivalently edge-colored undirected graphs, are of central interest, e.g. in phylogenomics. In this context symbolic ultrametrics play a crucial role. Symbolic ultrametrics define an edge-colored complete graph that allows to represent the topology of this graph as a vertex-colored tree. Here, we are interested in the structure and the complexity of certain combinatorial problems resulting from considerations based on symbolic ultrametrics, and on algorithms to solve them.This includes, the characterization of symbolic ultrametrics that additionally distinguishes between edges and non-edges of arbitrary edge-colored graphs G and thus, yielding a tree representation of G, by means of so-called cographs. Moreover, we address the problem of finding “closest” symbolic ultrametrics and show the NP-completeness of the three problems: symbolic ultrametric editing, completion and deletion. Finally, as not all graphs are cographs, and hence, do not have a tree representation, we ask, furthermore, what is the minimum number of cotrees needed to represent the topology of an arbitrary non-cograph G. This is equivalent to find an optimal cograph edge k-decomposition $${E_1,dots ,E_k}$$ of E so that each subgraph $$(V,E_i)$$ of G is a cograph. We investigate this problem in full detail, resulting in several new open problems, and NP-hardness results.For all optimization problems proven to be NP-hard we will provide integer linear program formulations to solve them." @default.
- W2964289968 created "2019-07-30" @default.
- W2964289968 creator A5019719296 @default.
- W2964289968 creator A5066462242 @default.
- W2964289968 date "2017-01-25" @default.
- W2964289968 modified "2023-09-24" @default.
- W2964289968 title "On tree representations of relations and graphs: symbolic ultrametrics and cograph edge decompositions" @default.
- W2964289968 cites W1495584351 @default.
- W2964289968 cites W1575387405 @default.
- W2964289968 cites W1579049696 @default.
- W2964289968 cites W1849163561 @default.
- W2964289968 cites W185036806 @default.
- W2964289968 cites W1967621400 @default.
- W2964289968 cites W1979835060 @default.
- W2964289968 cites W1992296962 @default.
- W2964289968 cites W1997093937 @default.
- W2964289968 cites W2008978934 @default.
- W2964289968 cites W2015906942 @default.
- W2964289968 cites W2022221380 @default.
- W2964289968 cites W2028775537 @default.
- W2964289968 cites W2032146159 @default.
- W2964289968 cites W2033436489 @default.
- W2964289968 cites W2034115935 @default.
- W2964289968 cites W2041346050 @default.
- W2964289968 cites W2076758603 @default.
- W2964289968 cites W2166566648 @default.
- W2964289968 cites W2180624262 @default.
- W2964289968 cites W2490805901 @default.
- W2964289968 cites W3100644252 @default.
- W2964289968 cites W319819633 @default.
- W2964289968 doi "https://doi.org/10.1007/s10878-017-0111-7" @default.
- W2964289968 hasPublicationYear "2017" @default.
- W2964289968 type Work @default.
- W2964289968 sameAs 2964289968 @default.
- W2964289968 citedByCount "19" @default.
- W2964289968 countsByYear W29642899682016 @default.
- W2964289968 countsByYear W29642899682017 @default.
- W2964289968 countsByYear W29642899682018 @default.
- W2964289968 countsByYear W29642899682019 @default.
- W2964289968 countsByYear W29642899682021 @default.
- W2964289968 countsByYear W29642899682022 @default.
- W2964289968 crossrefType "journal-article" @default.
- W2964289968 hasAuthorship W2964289968A5019719296 @default.
- W2964289968 hasAuthorship W2964289968A5066462242 @default.
- W2964289968 hasBestOaLocation W29642899682 @default.
- W2964289968 hasConcept C102192266 @default.
- W2964289968 hasConcept C113174947 @default.
- W2964289968 hasConcept C11413529 @default.
- W2964289968 hasConcept C114614502 @default.
- W2964289968 hasConcept C118615104 @default.
- W2964289968 hasConcept C132525143 @default.
- W2964289968 hasConcept C154945302 @default.
- W2964289968 hasConcept C160446614 @default.
- W2964289968 hasConcept C162307627 @default.
- W2964289968 hasConcept C24858836 @default.
- W2964289968 hasConcept C33923547 @default.
- W2964289968 hasConcept C41008148 @default.
- W2964289968 hasConcept C59824394 @default.
- W2964289968 hasConceptScore W2964289968C102192266 @default.
- W2964289968 hasConceptScore W2964289968C113174947 @default.
- W2964289968 hasConceptScore W2964289968C11413529 @default.
- W2964289968 hasConceptScore W2964289968C114614502 @default.
- W2964289968 hasConceptScore W2964289968C118615104 @default.
- W2964289968 hasConceptScore W2964289968C132525143 @default.
- W2964289968 hasConceptScore W2964289968C154945302 @default.
- W2964289968 hasConceptScore W2964289968C160446614 @default.
- W2964289968 hasConceptScore W2964289968C162307627 @default.
- W2964289968 hasConceptScore W2964289968C24858836 @default.
- W2964289968 hasConceptScore W2964289968C33923547 @default.
- W2964289968 hasConceptScore W2964289968C41008148 @default.
- W2964289968 hasConceptScore W2964289968C59824394 @default.
- W2964289968 hasFunder F4320320879 @default.
- W2964289968 hasIssue "2" @default.
- W2964289968 hasLocation W29642899681 @default.
- W2964289968 hasLocation W29642899682 @default.
- W2964289968 hasOpenAccess W2964289968 @default.
- W2964289968 hasPrimaryLocation W29642899681 @default.
- W2964289968 hasRelatedWork W1554245510 @default.
- W2964289968 hasRelatedWork W1970195683 @default.
- W2964289968 hasRelatedWork W1994963913 @default.
- W2964289968 hasRelatedWork W2008957319 @default.
- W2964289968 hasRelatedWork W2082569465 @default.
- W2964289968 hasRelatedWork W2083238533 @default.
- W2964289968 hasRelatedWork W2125939925 @default.
- W2964289968 hasRelatedWork W2141942969 @default.
- W2964289968 hasRelatedWork W2188791175 @default.
- W2964289968 hasRelatedWork W2741294903 @default.
- W2964289968 hasVolume "36" @default.
- W2964289968 isParatext "false" @default.
- W2964289968 isRetracted "false" @default.
- W2964289968 magId "2964289968" @default.
- W2964289968 workType "article" @default.