{"id":"https://openalex.org/W2142917256","doi":"https://doi.org/10.37236/5571","title":"A Note on Independence Complexes of Chordal Graphs and Dismantling","display_name":"A Note on Independence Complexes of Chordal Graphs and Dismantling","publication_year":2017,"publication_date":"2017-06-02","ids":{"openalex":"https://openalex.org/W2142917256","doi":"https://doi.org/10.37236/5571","mag":"2142917256"},"language":"en","primary_location":{"id":"doi:10.37236/5571","is_oa":true,"landing_page_url":"https://doi.org/10.37236/5571","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://doi.org/10.37236/5571","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5085411159","display_name":"Micha\u0142 Adamaszek","orcid":"https://orcid.org/0000-0003-3551-192X"},"institutions":[{"id":"https://openalex.org/I124055696","display_name":"University of Copenhagen","ror":"https://ror.org/035b05819","country_code":"DK","type":"education","lineage":["https://openalex.org/I124055696"]}],"countries":["DK"],"is_corresponding":true,"raw_author_name":"Micha\u0142 Adamaszek","raw_affiliation_strings":["University of Copenhagen"],"affiliations":[{"raw_affiliation_string":"University of Copenhagen","institution_ids":["https://openalex.org/I124055696"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5085411159"],"corresponding_institution_ids":["https://openalex.org/I124055696"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.00410516,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"24","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":0.9980999827384949,"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":0.9980000257492065,"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/chordal-graph","display_name":"Chordal graph","score":0.924972414970398},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5981966853141785},{"id":"https://openalex.org/keywords/contractible-space","display_name":"Contractible space","score":0.5751250386238098},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5399944186210632},{"id":"https://openalex.org/keywords/homotopy","display_name":"Homotopy","score":0.5175556540489197},{"id":"https://openalex.org/keywords/tree","display_name":"Tree (set theory)","score":0.5127300024032593},{"id":"https://openalex.org/keywords/split-graph","display_name":"Split graph","score":0.4302656352519989},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4258318543434143},{"id":"https://openalex.org/keywords/treewidth","display_name":"Treewidth","score":0.4210963249206543},{"id":"https://openalex.org/keywords/independence","display_name":"Independence (probability theory)","score":0.42093709111213684},{"id":"https://openalex.org/keywords/pathwidth","display_name":"Pathwidth","score":0.383831650018692},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.37810584902763367},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2503931522369385},{"id":"https://openalex.org/keywords/1-planar-graph","display_name":"1-planar graph","score":0.11907544732093811},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.08843070268630981}],"concepts":[{"id":"https://openalex.org/C160446614","wikidata":"https://www.wikidata.org/wiki/Q1322892","display_name":"Chordal graph","level":3,"score":0.924972414970398},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5981966853141785},{"id":"https://openalex.org/C169611556","wikidata":"https://www.wikidata.org/wiki/Q230689","display_name":"Contractible space","level":2,"score":0.5751250386238098},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5399944186210632},{"id":"https://openalex.org/C5961521","wikidata":"https://www.wikidata.org/wiki/Q746083","display_name":"Homotopy","level":2,"score":0.5175556540489197},{"id":"https://openalex.org/C113174947","wikidata":"https://www.wikidata.org/wiki/Q2859736","display_name":"Tree (set theory)","level":2,"score":0.5127300024032593},{"id":"https://openalex.org/C8554925","wikidata":"https://www.wikidata.org/wiki/Q3893853","display_name":"Split graph","level":5,"score":0.4302656352519989},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4258318543434143},{"id":"https://openalex.org/C132569581","wikidata":"https://www.wikidata.org/wiki/Q5067368","display_name":"Treewidth","level":5,"score":0.4210963249206543},{"id":"https://openalex.org/C35651441","wikidata":"https://www.wikidata.org/wiki/Q625303","display_name":"Independence (probability theory)","level":2,"score":0.42093709111213684},{"id":"https://openalex.org/C43517604","wikidata":"https://www.wikidata.org/wiki/Q7144893","display_name":"Pathwidth","level":4,"score":0.383831650018692},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.37810584902763367},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2503931522369385},{"id":"https://openalex.org/C102192266","wikidata":"https://www.wikidata.org/wiki/Q4545823","display_name":"1-planar graph","level":4,"score":0.11907544732093811},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.08843070268630981},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.37236/5571","is_oa":true,"landing_page_url":"https://doi.org/10.37236/5571","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1508.02426","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1508.02426","pdf_url":"https://arxiv.org/pdf/1508.02426","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},{"id":"mag:2142917256","is_oa":true,"landing_page_url":"https://arxiv.org/abs/1508.02426","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"pmh:oai:pure.atira.dk:openaire_cris_publications/5083932e-3f01-4ae1-aa92-c3b20c5eabc3","is_oa":false,"landing_page_url":"https://curis.ku.dk/portal/da/publications/a-note-on-independence-complexes-of-chordal-graphs-and-dismantling(5083932e-3f01-4ae1-aa92-c3b20c5eabc3).html","pdf_url":null,"source":{"id":"https://openalex.org/S4306401983","display_name":"Research at the University of Copenhagen (University of Copenhagen)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I124055696","host_organization_name":"University of Copenhagen","host_organization_lineage":["https://openalex.org/I124055696"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Adamaszek , M 2017 , ' A note on independence complexes of chordal graphs and dismantling ' , The Electronic Journal of Combinatorics , vol. 24 , no. 2 , P2.34 .","raw_type":"article"},{"id":"pmh:oai:pure.atira.dk:publications/5083932e-3f01-4ae1-aa92-c3b20c5eabc3","is_oa":false,"landing_page_url":"https://researchprofiles.ku.dk/da/publications/5083932e-3f01-4ae1-aa92-c3b20c5eabc3","pdf_url":null,"source":{"id":"https://openalex.org/S4306401983","display_name":"Research at the University of Copenhagen (University of Copenhagen)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I124055696","host_organization_name":"University of Copenhagen","host_organization_lineage":["https://openalex.org/I124055696"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Adamaszek , M 2017 , ' A note on independence complexes of chordal graphs and dismantling ' , The Electronic Journal of Combinatorics , vol. 24 , no. 2 , P2.34 .","raw_type":"article"},{"id":"doi:10.48550/arxiv.1508.02426","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1508.02426","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"doi:10.37236/5571","is_oa":true,"landing_page_url":"https://doi.org/10.37236/5571","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","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":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W1899422590","https://openalex.org/W1975934516","https://openalex.org/W1978452004","https://openalex.org/W1978803472","https://openalex.org/W2001387919","https://openalex.org/W2009047660","https://openalex.org/W2028400828","https://openalex.org/W2035331304","https://openalex.org/W2079310209","https://openalex.org/W2086254793","https://openalex.org/W2095895362","https://openalex.org/W2126402198","https://openalex.org/W2158442467"],"related_works":["https://openalex.org/W2076990722","https://openalex.org/W2370347111","https://openalex.org/W2798863412","https://openalex.org/W3199342901","https://openalex.org/W2006507202","https://openalex.org/W2013215731","https://openalex.org/W2050228489","https://openalex.org/W2084535093","https://openalex.org/W1868173549","https://openalex.org/W2180950855","https://openalex.org/W2583375271","https://openalex.org/W1965306217","https://openalex.org/W2007560929","https://openalex.org/W2040232932","https://openalex.org/W1969612844","https://openalex.org/W3176308333","https://openalex.org/W2117044282","https://openalex.org/W2027909704","https://openalex.org/W2261690669","https://openalex.org/W2905396358"],"abstract_inverted_index":{"We":[0],"show":[1],"that":[2],"the":[3,43],"independence":[4],"complex":[5,17],"of":[6,45,48],"a":[7,28,37],"chordal":[8,49],"graph":[9],"is":[10,18,24,36],"contractible":[11],"if":[12,15,30,33],"and":[13,22,31],"only":[14,32],"this":[16],"dismantlable":[19],"(strong":[20],"collapsible)":[21],"it":[23],"homotopy":[25],"equivalent":[26],"to":[27],"sphere":[29],"its":[34],"core":[35],"cross-polytopal":[38],"sphere.":[39],"The":[40],"proof":[41],"uses":[42],"properties":[44],"tree":[46],"models":[47],"graphs.":[50]},"counts_by_year":[],"updated_date":"2026-03-11T14:59:36.786465","created_date":"2025-10-10T00:00:00"}
