{"id":"https://openalex.org/W1887855322","doi":"https://doi.org/10.1007/s00454-017-9860-4","title":"Extremal Examples of Collapsible Complexes and Random Discrete Morse Theory","display_name":"Extremal Examples of Collapsible Complexes and Random Discrete Morse Theory","publication_year":2017,"publication_date":"2017-02-17","ids":{"openalex":"https://openalex.org/W1887855322","doi":"https://doi.org/10.1007/s00454-017-9860-4","mag":"1887855322"},"language":"en","primary_location":{"id":"doi:10.1007/s00454-017-9860-4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00454-017-9860-4","pdf_url":null,"source":{"id":"https://openalex.org/S103671469","display_name":"Discrete & Computational Geometry","issn_l":"0179-5376","issn":["0179-5376","1432-0444"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete & Computational Geometry","raw_type":"journal-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1404.4239","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5084339085","display_name":"Karim Adiprasito","orcid":"https://orcid.org/0000-0002-6427-687X"},"institutions":[{"id":"https://openalex.org/I197251160","display_name":"Hebrew University of Jerusalem","ror":"https://ror.org/03qxff017","country_code":"IL","type":"education","lineage":["https://openalex.org/I197251160"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Karim A. Adiprasito","raw_affiliation_strings":["Einstein Institute of Mathematics, Hebrew University of Jerusalem, Edmond J. Safra Campus, Givat Ram, 91904, Jerusalem, Israel","Hebrew University of Jerusalem ,"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Einstein Institute of Mathematics, Hebrew University of Jerusalem, Edmond J. Safra Campus, Givat Ram, 91904, Jerusalem, Israel","institution_ids":["https://openalex.org/I197251160"]},{"raw_affiliation_string":"Hebrew University of Jerusalem ,","institution_ids":["https://openalex.org/I197251160"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5009586086","display_name":"Bruno Benedetti","orcid":"https://orcid.org/0000-0001-7774-2748"},"institutions":[{"id":"https://openalex.org/I145608581","display_name":"University of Miami","ror":"https://ror.org/02dgjyy92","country_code":"US","type":"education","lineage":["https://openalex.org/I145608581"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Bruno Benedetti","raw_affiliation_strings":["Department of Mathematics, University of Miami, 1365 Memorial Drive, Ungar 515, Coral Gables, FL, 33146, USA","Department of mathematics, University of Miami, Coral Gables, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Miami, 1365 Memorial Drive, Ungar 515, Coral Gables, FL, 33146, USA","institution_ids":["https://openalex.org/I145608581"]},{"raw_affiliation_string":"Department of mathematics, University of Miami, Coral Gables, USA","institution_ids":["https://openalex.org/I145608581"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5045757470","display_name":"Frank H. Lutz","orcid":null},"institutions":[{"id":"https://openalex.org/I4577782","display_name":"Technische Universit\u00e4t Berlin","ror":"https://ror.org/03v4gjf40","country_code":"DE","type":"education","lineage":["https://openalex.org/I4577782"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Frank H. Lutz","raw_affiliation_strings":["Institut f\u00fcr Mathematik, Technische Universit\u00e4t Berlin, MA 5-2, Stra\u00dfe des 17. Juni 136, 10623, Berlin, Germany","Institut f\u00fcr Mathematik, Technische Universit\u00e4t Berlin, Berlin, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Mathematik, Technische Universit\u00e4t Berlin, MA 5-2, Stra\u00dfe des 17. Juni 136, 10623, Berlin, Germany","institution_ids":["https://openalex.org/I4577782"]},{"raw_affiliation_string":"Institut f\u00fcr Mathematik, Technische Universit\u00e4t Berlin, Berlin, Germany","institution_ids":["https://openalex.org/I4577782"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.00332148,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"57","issue":"4","first_page":"824","last_page":"853"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12536","display_name":"Topological and Geometric Data Analysis","score":1.0,"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":1.0,"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":0.9955999851226807,"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/T12351","display_name":"Geometry and complex manifolds","score":0.9646999835968018,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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/discrete-morse-theory","display_name":"Discrete Morse theory","score":0.9441869258880615},{"id":"https://openalex.org/keywords/contractible-space","display_name":"Contractible space","score":0.7966201305389404},{"id":"https://openalex.org/keywords/morse-code","display_name":"Morse code","score":0.7718616724014282},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6549040079116821},{"id":"https://openalex.org/keywords/simplicial-complex","display_name":"Simplicial complex","score":0.6400478482246399},{"id":"https://openalex.org/keywords/morse-theory","display_name":"Morse theory","score":0.5476124286651611},{"id":"https://openalex.org/keywords/h-vector","display_name":"h-vector","score":0.5275589823722839},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.5111899971961975},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5105029344558716},{"id":"https://openalex.org/keywords/barycentric-coordinate-system","display_name":"Barycentric coordinate system","score":0.4519311487674713},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.32677286863327026},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.15181437134742737},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.12879210710525513}],"concepts":[{"id":"https://openalex.org/C170315498","wikidata":"https://www.wikidata.org/wiki/Q5282039","display_name":"Discrete Morse theory","level":3,"score":0.9441869258880615},{"id":"https://openalex.org/C169611556","wikidata":"https://www.wikidata.org/wiki/Q230689","display_name":"Contractible space","level":2,"score":0.7966201305389404},{"id":"https://openalex.org/C140031139","wikidata":"https://www.wikidata.org/wiki/Q79897","display_name":"Morse code","level":2,"score":0.7718616724014282},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6549040079116821},{"id":"https://openalex.org/C187929450","wikidata":"https://www.wikidata.org/wiki/Q994399","display_name":"Simplicial complex","level":2,"score":0.6400478482246399},{"id":"https://openalex.org/C156730297","wikidata":"https://www.wikidata.org/wiki/Q2296951","display_name":"Morse theory","level":2,"score":0.5476124286651611},{"id":"https://openalex.org/C127634017","wikidata":"https://www.wikidata.org/wiki/Q5627866","display_name":"h-vector","level":3,"score":0.5275589823722839},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.5111899971961975},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5105029344558716},{"id":"https://openalex.org/C128356825","wikidata":"https://www.wikidata.org/wiki/Q738422","display_name":"Barycentric coordinate system","level":2,"score":0.4519311487674713},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.32677286863327026},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.15181437134742737},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.12879210710525513},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1007/s00454-017-9860-4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00454-017-9860-4","pdf_url":null,"source":{"id":"https://openalex.org/S103671469","display_name":"Discrete & Computational Geometry","issn_l":"0179-5376","issn":["0179-5376","1432-0444"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete & Computational Geometry","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1404.4239","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1404.4239","pdf_url":"https://arxiv.org/pdf/1404.4239","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":null,"raw_type":"text"},{"id":"mag:1887855322","is_oa":true,"landing_page_url":"http://export.arxiv.org/pdf/1404.4239","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":"doi:10.48550/arxiv.1404.4239","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1404.4239","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":"pmh:oai:arXiv.org:1404.4239","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1404.4239","pdf_url":"https://arxiv.org/pdf/1404.4239","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":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":29,"referenced_works":["https://openalex.org/W116735976","https://openalex.org/W1546959834","https://openalex.org/W1853367770","https://openalex.org/W1890807414","https://openalex.org/W1977010014","https://openalex.org/W1978075961","https://openalex.org/W1987227236","https://openalex.org/W1992051521","https://openalex.org/W2017741614","https://openalex.org/W2064020260","https://openalex.org/W2069732768","https://openalex.org/W2081349787","https://openalex.org/W2083738623","https://openalex.org/W2101570837","https://openalex.org/W2101918237","https://openalex.org/W2138107938","https://openalex.org/W2233474732","https://openalex.org/W2282388032","https://openalex.org/W2962761241","https://openalex.org/W2963081029","https://openalex.org/W2963260537","https://openalex.org/W2963397105","https://openalex.org/W2963905120","https://openalex.org/W2963992494","https://openalex.org/W2964113153","https://openalex.org/W2965485029","https://openalex.org/W4246108584","https://openalex.org/W6602037041","https://openalex.org/W6724918808"],"related_works":["https://openalex.org/W2963969495","https://openalex.org/W1554502906","https://openalex.org/W2169214141","https://openalex.org/W2292584775","https://openalex.org/W2029758742","https://openalex.org/W2950450020","https://openalex.org/W1594236001","https://openalex.org/W2998798462","https://openalex.org/W2087664513","https://openalex.org/W2962698611","https://openalex.org/W2166886059","https://openalex.org/W2200398409","https://openalex.org/W3041151908","https://openalex.org/W2149597729","https://openalex.org/W3102143162","https://openalex.org/W2804666790","https://openalex.org/W2263263510","https://openalex.org/W2067093285","https://openalex.org/W2127719013","https://openalex.org/W1579124848"],"abstract_inverted_index":null,"counts_by_year":[{"year":2015,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}