Matches in SemOpenAlex for { <https://semopenalex.org/work/W1992253452> ?p ?o ?g. }
Showing items 1 to 84 of
84
with 100 items per page.
- W1992253452 endingPage "299" @default.
- W1992253452 startingPage "271" @default.
- W1992253452 abstract "Complexes of (not) connected graphs, hypergraphs and their homology appear in the construction of knot invariants given by Vassiliev [38, 39, 41]. In this paper we study the complexes of not i -connected k -hypergraphs on n vertices. We show that the complex of not 2-connected graphs has the homotopy type of a wedge of ( n −2)! spheres of dimension 2 n −5. This answers a question raised by Vassiliev in connection with knot invariants. For this case the S n -action on the homology of the complex is also determined. For complexes of not 2-connected k -hypergraphs we provide a formula for the generating function of the Euler characteristic, and we introduce certain lattices of graphs that encode their topology. We also present partial results for some other cases. In particular, we show that the complex of not ( n −2)-connected graphs is Alexander dual to the complex of partial matchings of the complete graph. For not ( n −3)-connected graphs we provide a formula for the generating function of the Euler characteristic." @default.
- W1992253452 created "2016-06-24" @default.
- W1992253452 creator A5006798935 @default.
- W1992253452 creator A5017345624 @default.
- W1992253452 creator A5024148075 @default.
- W1992253452 creator A5031800301 @default.
- W1992253452 creator A5083294700 @default.
- W1992253452 date "1999-03-01" @default.
- W1992253452 modified "2023-10-02" @default.
- W1992253452 title "COMPLEXES OF NOT i-CONNECTED GRAPHS" @default.
- W1992253452 cites W1489786588 @default.
- W1992253452 cites W1496383623 @default.
- W1992253452 cites W1499912620 @default.
- W1992253452 cites W1511577203 @default.
- W1992253452 cites W1526218397 @default.
- W1992253452 cites W1530540531 @default.
- W1992253452 cites W1562489980 @default.
- W1992253452 cites W1966167835 @default.
- W1992253452 cites W1989116867 @default.
- W1992253452 cites W2017658521 @default.
- W1992253452 cites W2027626401 @default.
- W1992253452 cites W2029220881 @default.
- W1992253452 cites W2034862059 @default.
- W1992253452 cites W2040054883 @default.
- W1992253452 cites W2045097502 @default.
- W1992253452 cites W2049700508 @default.
- W1992253452 cites W2051334793 @default.
- W1992253452 cites W2064020260 @default.
- W1992253452 cites W2067320522 @default.
- W1992253452 cites W2080774348 @default.
- W1992253452 cites W2087009495 @default.
- W1992253452 cites W2106079666 @default.
- W1992253452 cites W2123323408 @default.
- W1992253452 cites W2137523622 @default.
- W1992253452 cites W2911463656 @default.
- W1992253452 cites W2952291000 @default.
- W1992253452 cites W47630416 @default.
- W1992253452 cites W79096586 @default.
- W1992253452 doi "https://doi.org/10.1016/s0040-9383(98)00009-3" @default.
- W1992253452 hasPublicationYear "1999" @default.
- W1992253452 type Work @default.
- W1992253452 sameAs 1992253452 @default.
- W1992253452 citedByCount "73" @default.
- W1992253452 countsByYear W19922534522012 @default.
- W1992253452 countsByYear W19922534522013 @default.
- W1992253452 countsByYear W19922534522017 @default.
- W1992253452 countsByYear W19922534522018 @default.
- W1992253452 countsByYear W19922534522020 @default.
- W1992253452 countsByYear W19922534522021 @default.
- W1992253452 countsByYear W19922534522022 @default.
- W1992253452 crossrefType "journal-article" @default.
- W1992253452 hasAuthorship W1992253452A5006798935 @default.
- W1992253452 hasAuthorship W1992253452A5017345624 @default.
- W1992253452 hasAuthorship W1992253452A5024148075 @default.
- W1992253452 hasAuthorship W1992253452A5031800301 @default.
- W1992253452 hasAuthorship W1992253452A5083294700 @default.
- W1992253452 hasBestOaLocation W19922534521 @default.
- W1992253452 hasConcept C114614502 @default.
- W1992253452 hasConcept C33923547 @default.
- W1992253452 hasConceptScore W1992253452C114614502 @default.
- W1992253452 hasConceptScore W1992253452C33923547 @default.
- W1992253452 hasIssue "2" @default.
- W1992253452 hasLocation W19922534521 @default.
- W1992253452 hasLocation W19922534522 @default.
- W1992253452 hasLocation W19922534523 @default.
- W1992253452 hasOpenAccess W1992253452 @default.
- W1992253452 hasPrimaryLocation W19922534521 @default.
- W1992253452 hasRelatedWork W1974891317 @default.
- W1992253452 hasRelatedWork W1978042415 @default.
- W1992253452 hasRelatedWork W2017331178 @default.
- W1992253452 hasRelatedWork W2044189972 @default.
- W1992253452 hasRelatedWork W2069964982 @default.
- W1992253452 hasRelatedWork W2313400459 @default.
- W1992253452 hasRelatedWork W2976797620 @default.
- W1992253452 hasRelatedWork W3086542228 @default.
- W1992253452 hasRelatedWork W4225152035 @default.
- W1992253452 hasRelatedWork W4245490552 @default.
- W1992253452 hasVolume "38" @default.
- W1992253452 isParatext "false" @default.
- W1992253452 isRetracted "false" @default.
- W1992253452 magId "1992253452" @default.
- W1992253452 workType "article" @default.