{"id":"https://openalex.org/W2767311171","doi":"https://doi.org/10.37236/77","title":"Subdivision Yields Alexander Duality on Independence Complexes","display_name":"Subdivision Yields Alexander Duality on Independence Complexes","publication_year":2009,"publication_date":"2009-05-12","ids":{"openalex":"https://openalex.org/W2767311171","doi":"https://doi.org/10.37236/77","mag":"2767311171"},"language":"en","primary_location":{"id":"doi:10.37236/77","is_oa":true,"landing_page_url":"https://doi.org/10.37236/77","pdf_url":null,"source":{"id":"https://openalex.org/S38448739","display_name":"The Electronic Journal of Combinatorics","issn_l":"1077-8926","issn":["1077-8926","1097-1440"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317970","host_organization_name":"Electronic Journal of Combinatorics","host_organization_lineage":["https://openalex.org/P4310317970"],"host_organization_lineage_names":["Electronic Journal of Combinatorics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://doi.org/10.37236/77","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5013632751","display_name":"P\u00e9ter Csorba","orcid":null},"institutions":[{"id":"https://openalex.org/I83019370","display_name":"Eindhoven University of Technology","ror":"https://ror.org/02c2kyt77","country_code":"NL","type":"education","lineage":["https://openalex.org/I83019370"]}],"countries":["NL"],"is_corresponding":true,"raw_author_name":"P\u00e9ter Csorba","raw_affiliation_strings":["Eindhoven University of Technology"],"affiliations":[{"raw_affiliation_string":"Eindhoven University of Technology","institution_ids":["https://openalex.org/I83019370"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5013632751"],"corresponding_institution_ids":["https://openalex.org/I83019370"],"apc_list":null,"apc_paid":null,"fwci":3.2163,"has_fulltext":false,"cited_by_count":23,"citation_normalized_percentile":{"value":0.92302652,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"16","issue":"2","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12536","display_name":"Topological and Geometric Data Analysis","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12536","display_name":"Topological and Geometric Data Analysis","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10896","display_name":"Homotopy and Cohomology in Algebraic Topology","score":0.9925000071525574,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.9648000001907349,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7237947583198547},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6632457971572876},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.6610457897186279},{"id":"https://openalex.org/keywords/dual-graph","display_name":"Dual graph","score":0.6485745906829834},{"id":"https://openalex.org/keywords/independence","display_name":"Independence (probability theory)","score":0.6172163486480713},{"id":"https://openalex.org/keywords/homotopy","display_name":"Homotopy","score":0.4911622703075409},{"id":"https://openalex.org/keywords/duality","display_name":"Duality (order theory)","score":0.47550851106643677},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4710697531700134},{"id":"https://openalex.org/keywords/subdivision","display_name":"Subdivision","score":0.44526994228363037},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.1717846691608429},{"id":"https://openalex.org/keywords/planar-graph","display_name":"Planar graph","score":0.15855377912521362},{"id":"https://openalex.org/keywords/geography","display_name":"Geography","score":0.08180955052375793}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7237947583198547},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6632457971572876},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.6610457897186279},{"id":"https://openalex.org/C169827030","wikidata":"https://www.wikidata.org/wiki/Q2294516","display_name":"Dual graph","level":4,"score":0.6485745906829834},{"id":"https://openalex.org/C35651441","wikidata":"https://www.wikidata.org/wiki/Q625303","display_name":"Independence (probability theory)","level":2,"score":0.6172163486480713},{"id":"https://openalex.org/C5961521","wikidata":"https://www.wikidata.org/wiki/Q746083","display_name":"Homotopy","level":2,"score":0.4911622703075409},{"id":"https://openalex.org/C2778023678","wikidata":"https://www.wikidata.org/wiki/Q554403","display_name":"Duality (order theory)","level":2,"score":0.47550851106643677},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4710697531700134},{"id":"https://openalex.org/C143392562","wikidata":"https://www.wikidata.org/wiki/Q449111","display_name":"Subdivision","level":2,"score":0.44526994228363037},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.1717846691608429},{"id":"https://openalex.org/C101837359","wikidata":"https://www.wikidata.org/wiki/Q547823","display_name":"Planar graph","level":3,"score":0.15855377912521362},{"id":"https://openalex.org/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","level":0,"score":0.08180955052375793},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C166957645","wikidata":"https://www.wikidata.org/wiki/Q23498","display_name":"Archaeology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.37236/77","is_oa":true,"landing_page_url":"https://doi.org/10.37236/77","pdf_url":null,"source":{"id":"https://openalex.org/S38448739","display_name":"The Electronic Journal of Combinatorics","issn_l":"1077-8926","issn":["1077-8926","1097-1440"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317970","host_organization_name":"Electronic Journal of Combinatorics","host_organization_lineage":["https://openalex.org/P4310317970"],"host_organization_lineage_names":["Electronic Journal of Combinatorics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.37236/77","is_oa":true,"landing_page_url":"https://doi.org/10.37236/77","pdf_url":null,"source":{"id":"https://openalex.org/S38448739","display_name":"The Electronic Journal of Combinatorics","issn_l":"1077-8926","issn":["1077-8926","1097-1440"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317970","host_organization_name":"Electronic Journal of Combinatorics","host_organization_lineage":["https://openalex.org/P4310317970"],"host_organization_lineage_names":["Electronic Journal of Combinatorics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W106288804","https://openalex.org/W327529882","https://openalex.org/W1493018669","https://openalex.org/W1520897746","https://openalex.org/W2001387919","https://openalex.org/W2041649602","https://openalex.org/W2070673991","https://openalex.org/W2076483654","https://openalex.org/W2089209018","https://openalex.org/W2110956495","https://openalex.org/W2127719013","https://openalex.org/W2911463656","https://openalex.org/W3040586665","https://openalex.org/W3099626179"],"related_works":["https://openalex.org/W2384806462","https://openalex.org/W4389950792","https://openalex.org/W2375549870","https://openalex.org/W4376632515","https://openalex.org/W2163269603","https://openalex.org/W4205312897","https://openalex.org/W1106115901","https://openalex.org/W2140072033","https://openalex.org/W4244083562","https://openalex.org/W2296482608"],"abstract_inverted_index":{"We":[0,18],"study":[1],"how":[2],"the":[3,7,21,25,50,54,67,70],"homotopy":[4],"type":[5],"of":[6,10,37,56,69],"independence":[8,22,51,71],"complex":[9,23,52],"a":[11,38],"graph":[12],"changes":[13],"if":[14,28],"we":[15,29,41],"subdivide":[16],"edges.":[17],"show":[19],"that":[20],"becomes":[24],"Alexander":[26],"dual":[27],"place":[30,42],"one":[31],"new":[32,44,61],"vertex":[33],"on":[34,46,63],"each":[35,47],"edge":[36,48,65],"graph.":[39],"If":[40],"two":[43,57],"vertices":[45,62],"then":[49],"is":[53],"wedge":[55],"spheres.":[58],"Placing":[59],"three":[60],"an":[64],"yields":[66],"suspension":[68],"complex.":[72]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":5}],"updated_date":"2026-04-02T15:55:50.835912","created_date":"2025-10-10T00:00:00"}
