Matches in SemOpenAlex for { <https://semopenalex.org/work/W1982661321> ?p ?o ?g. }
Showing items 1 to 79 of
79
with 100 items per page.
- W1982661321 endingPage "335" @default.
- W1982661321 startingPage "326" @default.
- W1982661321 abstract "An apex graph is a graph G from which only one vertex v has to be removed to make it planar. We show that the crossing number of such G can be approximated up to a factor of Δ(G−v)⋅d(v)/2 by solving the vertex inserting problem, i.e. inserting a vertex plus incident edges into an optimally chosen planar embedding of a planar graph. Since the latter problem can be solved in polynomial time, this establishes the first polynomial fixed-factor approximation algorithm for the crossing number problem of apex graphs with bounded degree. Furthermore, we extend this result by showing that the optimal solution for inserting multiple edges or vertices into a planar graph also approximates the crossing number of the resulting graph." @default.
- W1982661321 created "2016-06-24" @default.
- W1982661321 creator A5012801992 @default.
- W1982661321 creator A5044475263 @default.
- W1982661321 creator A5052326595 @default.
- W1982661321 date "2012-04-01" @default.
- W1982661321 modified "2023-09-23" @default.
- W1982661321 title "Vertex insertion approximates the crossing number of apex graphs" @default.
- W1982661321 cites W1594192790 @default.
- W1982661321 cites W2010561968 @default.
- W1982661321 cites W2060538865 @default.
- W1982661321 cites W2170147332 @default.
- W1982661321 cites W3136685299 @default.
- W1982661321 doi "https://doi.org/10.1016/j.ejc.2011.09.009" @default.
- W1982661321 hasPublicationYear "2012" @default.
- W1982661321 type Work @default.
- W1982661321 sameAs 1982661321 @default.
- W1982661321 citedByCount "24" @default.
- W1982661321 countsByYear W19826613212012 @default.
- W1982661321 countsByYear W19826613212013 @default.
- W1982661321 countsByYear W19826613212014 @default.
- W1982661321 countsByYear W19826613212015 @default.
- W1982661321 countsByYear W19826613212016 @default.
- W1982661321 countsByYear W19826613212018 @default.
- W1982661321 countsByYear W19826613212019 @default.
- W1982661321 countsByYear W19826613212020 @default.
- W1982661321 countsByYear W19826613212021 @default.
- W1982661321 countsByYear W19826613212023 @default.
- W1982661321 crossrefType "journal-article" @default.
- W1982661321 hasAuthorship W1982661321A5012801992 @default.
- W1982661321 hasAuthorship W1982661321A5044475263 @default.
- W1982661321 hasAuthorship W1982661321A5052326595 @default.
- W1982661321 hasConcept C101837359 @default.
- W1982661321 hasConcept C102192266 @default.
- W1982661321 hasConcept C114614502 @default.
- W1982661321 hasConcept C118615104 @default.
- W1982661321 hasConcept C127413603 @default.
- W1982661321 hasConcept C132525143 @default.
- W1982661321 hasConcept C146978453 @default.
- W1982661321 hasConcept C160446614 @default.
- W1982661321 hasConcept C180222743 @default.
- W1982661321 hasConcept C2777724877 @default.
- W1982661321 hasConcept C33923547 @default.
- W1982661321 hasConcept C64543145 @default.
- W1982661321 hasConcept C80899671 @default.
- W1982661321 hasConceptScore W1982661321C101837359 @default.
- W1982661321 hasConceptScore W1982661321C102192266 @default.
- W1982661321 hasConceptScore W1982661321C114614502 @default.
- W1982661321 hasConceptScore W1982661321C118615104 @default.
- W1982661321 hasConceptScore W1982661321C127413603 @default.
- W1982661321 hasConceptScore W1982661321C132525143 @default.
- W1982661321 hasConceptScore W1982661321C146978453 @default.
- W1982661321 hasConceptScore W1982661321C160446614 @default.
- W1982661321 hasConceptScore W1982661321C180222743 @default.
- W1982661321 hasConceptScore W1982661321C2777724877 @default.
- W1982661321 hasConceptScore W1982661321C33923547 @default.
- W1982661321 hasConceptScore W1982661321C64543145 @default.
- W1982661321 hasConceptScore W1982661321C80899671 @default.
- W1982661321 hasIssue "3" @default.
- W1982661321 hasLocation W19826613211 @default.
- W1982661321 hasOpenAccess W1982661321 @default.
- W1982661321 hasPrimaryLocation W19826613211 @default.
- W1982661321 hasRelatedWork W1845448303 @default.
- W1982661321 hasRelatedWork W1980466385 @default.
- W1982661321 hasRelatedWork W2029772672 @default.
- W1982661321 hasRelatedWork W2156309058 @default.
- W1982661321 hasRelatedWork W2160851413 @default.
- W1982661321 hasRelatedWork W2166252602 @default.
- W1982661321 hasRelatedWork W2332440504 @default.
- W1982661321 hasRelatedWork W2741672982 @default.
- W1982661321 hasRelatedWork W2952931757 @default.
- W1982661321 hasRelatedWork W3016654338 @default.
- W1982661321 hasVolume "33" @default.
- W1982661321 isParatext "false" @default.
- W1982661321 isRetracted "false" @default.
- W1982661321 magId "1982661321" @default.
- W1982661321 workType "article" @default.