Matches in SemOpenAlex for { <https://semopenalex.org/work/W3021844360> ?p ?o ?g. }
Showing items 1 to 75 of
75
with 100 items per page.
- W3021844360 endingPage "346" @default.
- W3021844360 startingPage "325" @default.
- W3021844360 abstract "We introduce and study the problem MUTUAL DUALITY, asking for two planar graphs G 1 and G 2 whether G 1 can be embedded such that its dual is isomorphic to G 2 . We show NP-completeness for general planar graphs and give a linear-time algorithm for biconnected planar graphs. This algorithm implies an efficient solution to two well-known problems. In fact, it can be used to test whether two biconnected planar graphs are 2-isomorphic, namely whether their graphic matroids are isomorphic, and to test self-duality of any biconnected planar graph, which is a special case of MUTUAL DUALITY with G 1 = G 2 . Further, we show that our NP-hardness proof extends to testing self-duality and map self-duality (which additionally requires to preserve the embedding). In order to obtain our results, we consider the common dual relation ~, where G 1 ~ G 2 if and only if they admit embeddings that result in the same dual graph. We show that ~ is an equivalence relation on the set of biconnected graphs and devise a compact SPQR-tree-like representation of its equivalence classes. Our algorithm for biconnected graphs is based on testing isomorphism for two such representations in linear time." @default.
- W3021844360 created "2020-05-13" @default.
- W3021844360 creator A5010111302 @default.
- W3021844360 creator A5036986694 @default.
- W3021844360 creator A5058590949 @default.
- W3021844360 date "2014-12-01" @default.
- W3021844360 modified "2023-10-17" @default.
- W3021844360 title "TESTING MUTUAL DUALITY OF PLANAR GRAPHS" @default.
- W3021844360 cites W1971497628 @default.
- W3021844360 cites W1975647321 @default.
- W3021844360 cites W2014656305 @default.
- W3021844360 cites W2015773485 @default.
- W3021844360 cites W2024366499 @default.
- W3021844360 cites W2055127468 @default.
- W3021844360 cites W2080471023 @default.
- W3021844360 cites W2082479932 @default.
- W3021844360 cites W2335172256 @default.
- W3021844360 cites W3022690009 @default.
- W3021844360 cites W4231597948 @default.
- W3021844360 cites W4234391028 @default.
- W3021844360 doi "https://doi.org/10.1142/s0218195914600103" @default.
- W3021844360 hasPublicationYear "2014" @default.
- W3021844360 type Work @default.
- W3021844360 sameAs 3021844360 @default.
- W3021844360 citedByCount "4" @default.
- W3021844360 countsByYear W30218443602016 @default.
- W3021844360 countsByYear W30218443602018 @default.
- W3021844360 countsByYear W30218443602019 @default.
- W3021844360 countsByYear W30218443602023 @default.
- W3021844360 crossrefType "journal-article" @default.
- W3021844360 hasAuthorship W3021844360A5010111302 @default.
- W3021844360 hasAuthorship W3021844360A5036986694 @default.
- W3021844360 hasAuthorship W3021844360A5058590949 @default.
- W3021844360 hasBestOaLocation W30218443602 @default.
- W3021844360 hasConcept C101837359 @default.
- W3021844360 hasConcept C114614502 @default.
- W3021844360 hasConcept C118615104 @default.
- W3021844360 hasConcept C132525143 @default.
- W3021844360 hasConcept C203776342 @default.
- W3021844360 hasConcept C2778023678 @default.
- W3021844360 hasConcept C33923547 @default.
- W3021844360 hasConcept C61665672 @default.
- W3021844360 hasConcept C76220878 @default.
- W3021844360 hasConceptScore W3021844360C101837359 @default.
- W3021844360 hasConceptScore W3021844360C114614502 @default.
- W3021844360 hasConceptScore W3021844360C118615104 @default.
- W3021844360 hasConceptScore W3021844360C132525143 @default.
- W3021844360 hasConceptScore W3021844360C203776342 @default.
- W3021844360 hasConceptScore W3021844360C2778023678 @default.
- W3021844360 hasConceptScore W3021844360C33923547 @default.
- W3021844360 hasConceptScore W3021844360C61665672 @default.
- W3021844360 hasConceptScore W3021844360C76220878 @default.
- W3021844360 hasIssue "04" @default.
- W3021844360 hasLocation W30218443601 @default.
- W3021844360 hasLocation W30218443602 @default.
- W3021844360 hasLocation W30218443603 @default.
- W3021844360 hasOpenAccess W3021844360 @default.
- W3021844360 hasPrimaryLocation W30218443601 @default.
- W3021844360 hasRelatedWork W2032950096 @default.
- W3021844360 hasRelatedWork W2039105018 @default.
- W3021844360 hasRelatedWork W2056824842 @default.
- W3021844360 hasRelatedWork W2063653165 @default.
- W3021844360 hasRelatedWork W2143481766 @default.
- W3021844360 hasRelatedWork W2289086174 @default.
- W3021844360 hasRelatedWork W2968854554 @default.
- W3021844360 hasRelatedWork W3087770235 @default.
- W3021844360 hasRelatedWork W3094179009 @default.
- W3021844360 hasRelatedWork W3101621653 @default.
- W3021844360 hasVolume "24" @default.
- W3021844360 isParatext "false" @default.
- W3021844360 isRetracted "false" @default.
- W3021844360 magId "3021844360" @default.
- W3021844360 workType "article" @default.