{"id":"https://openalex.org/W2090464710","doi":"https://doi.org/10.1007/s00454-011-9378-0","title":"Topology of Random 2-Complexes","display_name":"Topology of Random 2-Complexes","publication_year":2011,"publication_date":"2011-10-20","ids":{"openalex":"https://openalex.org/W2090464710","doi":"https://doi.org/10.1007/s00454-011-9378-0","mag":"2090464710"},"language":"en","primary_location":{"id":"doi:10.1007/s00454-011-9378-0","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00454-011-9378-0","pdf_url":"https://link.springer.com/content/pdf/10.1007%2Fs00454-011-9378-0.pdf","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 &amp; Computational Geometry","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://link.springer.com/content/pdf/10.1007%2Fs00454-011-9378-0.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5062105627","display_name":"Daniel C. Cohen","orcid":"https://orcid.org/0000-0002-5845-2523"},"institutions":[{"id":"https://openalex.org/I121820613","display_name":"Louisiana State University","ror":"https://ror.org/05ect4e57","country_code":"US","type":"education","lineage":["https://openalex.org/I121820613"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"D. Cohen","raw_affiliation_strings":["Department of Mathematics, Louisiana State University, Baton Rouge, LA, 70803, USA","Louisiana State University, Department of Mathematics, 70803, Baton Rouge, LA, USA#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Louisiana State University, Baton Rouge, LA, 70803, USA","institution_ids":["https://openalex.org/I121820613"]},{"raw_affiliation_string":"Louisiana State University, Department of Mathematics, 70803, Baton Rouge, LA, USA#TAB#","institution_ids":["https://openalex.org/I121820613"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5061073950","display_name":"A. Costa","orcid":null},"institutions":[{"id":"https://openalex.org/I39555362","display_name":"University of Warwick","ror":"https://ror.org/01a77tt86","country_code":"GB","type":"education","lineage":["https://openalex.org/I39555362"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"A. Costa","raw_affiliation_strings":["Mathematics Institute, Zeeman Building, University of Warwick, Coventry, CV4 7AL, UK","University of Warwick, Mathematics Institute, Zeeman Building, CV4 7AL, Coventry, UK#TAB#"],"affiliations":[{"raw_affiliation_string":"Mathematics Institute, Zeeman Building, University of Warwick, Coventry, CV4 7AL, UK","institution_ids":["https://openalex.org/I39555362"]},{"raw_affiliation_string":"University of Warwick, Mathematics Institute, Zeeman Building, CV4 7AL, Coventry, UK#TAB#","institution_ids":["https://openalex.org/I39555362"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5036975533","display_name":"Michael F\u00e4rber","orcid":"https://orcid.org/0000-0003-1419-4347"},"institutions":[{"id":"https://openalex.org/I39555362","display_name":"University of Warwick","ror":"https://ror.org/01a77tt86","country_code":"GB","type":"education","lineage":["https://openalex.org/I39555362"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"M. Farber","raw_affiliation_strings":["Mathematics Institute, Zeeman Building, University of Warwick, Coventry, CV4 7AL, UK","University of Warwick, Mathematics Institute, Zeeman Building, CV4 7AL, Coventry, UK#TAB#"],"affiliations":[{"raw_affiliation_string":"Mathematics Institute, Zeeman Building, University of Warwick, Coventry, CV4 7AL, UK","institution_ids":["https://openalex.org/I39555362"]},{"raw_affiliation_string":"University of Warwick, Mathematics Institute, Zeeman Building, CV4 7AL, Coventry, UK#TAB#","institution_ids":["https://openalex.org/I39555362"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5018944299","display_name":"Thomas Kappeler","orcid":"https://orcid.org/0000-0003-3208-4678"},"institutions":[{"id":"https://openalex.org/I202697423","display_name":"University of Zurich","ror":"https://ror.org/02crff812","country_code":"CH","type":"education","lineage":["https://openalex.org/I202697423"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"T. Kappeler","raw_affiliation_strings":["Mathematical Insitutte, University of Zurich, Winterthurerstrasse 190, 8057, Zurich, Switzerland","University of Zurich, Mathematical Insitutte, Winterthurerstrasse 190, 8057, Zurich, Switzerland"],"affiliations":[{"raw_affiliation_string":"Mathematical Insitutte, University of Zurich, Winterthurerstrasse 190, 8057, Zurich, Switzerland","institution_ids":["https://openalex.org/I202697423"]},{"raw_affiliation_string":"University of Zurich, Mathematical Insitutte, Winterthurerstrasse 190, 8057, Zurich, Switzerland","institution_ids":["https://openalex.org/I202697423"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5062105627"],"corresponding_institution_ids":["https://openalex.org/I121820613"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":5.4931,"has_fulltext":true,"cited_by_count":60,"citation_normalized_percentile":{"value":0.96301986,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":100},"biblio":{"volume":"47","issue":"1","first_page":"117","last_page":"149"},"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":0.9878000020980835,"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/T11151","display_name":"Advanced Topology and Set Theory","score":0.9589999914169312,"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/mathematics","display_name":"Mathematics","score":0.8409558534622192},{"id":"https://openalex.org/keywords/simplicial-complex","display_name":"Simplicial complex","score":0.8000586032867432},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6726656556129456},{"id":"https://openalex.org/keywords/random-graph","display_name":"Random graph","score":0.6421423554420471},{"id":"https://openalex.org/keywords/simplicial-homology","display_name":"Simplicial homology","score":0.6202573180198669},{"id":"https://openalex.org/keywords/embedding","display_name":"Embedding","score":0.5899918079376221},{"id":"https://openalex.org/keywords/abelian-group","display_name":"Abelian group","score":0.5189268589019775},{"id":"https://openalex.org/keywords/abstract-simplicial-complex","display_name":"Abstract simplicial complex","score":0.45862075686454773},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4550027847290039},{"id":"https://openalex.org/keywords/simplicial-approximation-theorem","display_name":"Simplicial approximation theorem","score":0.4464951753616333},{"id":"https://openalex.org/keywords/random-regular-graph","display_name":"Random regular graph","score":0.4206010103225708},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.3751552700996399},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.33854830265045166},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.18940287828445435},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.13002413511276245},{"id":"https://openalex.org/keywords/simplicial-set","display_name":"Simplicial set","score":0.10935759544372559},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.07403308153152466}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8409558534622192},{"id":"https://openalex.org/C187929450","wikidata":"https://www.wikidata.org/wiki/Q994399","display_name":"Simplicial complex","level":2,"score":0.8000586032867432},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6726656556129456},{"id":"https://openalex.org/C47458327","wikidata":"https://www.wikidata.org/wiki/Q910404","display_name":"Random graph","level":3,"score":0.6421423554420471},{"id":"https://openalex.org/C3469331","wikidata":"https://www.wikidata.org/wiki/Q7520902","display_name":"Simplicial homology","level":3,"score":0.6202573180198669},{"id":"https://openalex.org/C41608201","wikidata":"https://www.wikidata.org/wiki/Q980509","display_name":"Embedding","level":2,"score":0.5899918079376221},{"id":"https://openalex.org/C136170076","wikidata":"https://www.wikidata.org/wiki/Q181296","display_name":"Abelian group","level":2,"score":0.5189268589019775},{"id":"https://openalex.org/C146867743","wikidata":"https://www.wikidata.org/wiki/Q4669959","display_name":"Abstract simplicial complex","level":3,"score":0.45862075686454773},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4550027847290039},{"id":"https://openalex.org/C64245159","wikidata":"https://www.wikidata.org/wiki/Q3983972","display_name":"Simplicial approximation theorem","level":5,"score":0.4464951753616333},{"id":"https://openalex.org/C4255713","wikidata":"https://www.wikidata.org/wiki/Q7291988","display_name":"Random regular graph","level":5,"score":0.4206010103225708},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.3751552700996399},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.33854830265045166},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.18940287828445435},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.13002413511276245},{"id":"https://openalex.org/C155366967","wikidata":"https://www.wikidata.org/wiki/Q1467124","display_name":"Simplicial set","level":4,"score":0.10935759544372559},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.07403308153152466},{"id":"https://openalex.org/C5961521","wikidata":"https://www.wikidata.org/wiki/Q746083","display_name":"Homotopy","level":2,"score":0.0},{"id":"https://openalex.org/C79236096","wikidata":"https://www.wikidata.org/wiki/Q14775269","display_name":"Homotopy category","level":3,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C102192266","wikidata":"https://www.wikidata.org/wiki/Q4545823","display_name":"1-planar graph","level":4,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s00454-011-9378-0","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00454-011-9378-0","pdf_url":"https://link.springer.com/content/pdf/10.1007%2Fs00454-011-9378-0.pdf","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 &amp; Computational Geometry","raw_type":"journal-article"},{"id":"pmh:oai:repository.lsu.edu:mathematics_pubs-2452","is_oa":false,"landing_page_url":"https://repository.lsu.edu/mathematics_pubs/1450","pdf_url":null,"source":{"id":"https://openalex.org/S4210169993","display_name":"Civil War Book Review","issn_l":"1528-6592","issn":["1528-6592"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310315936","host_organization_name":"Louisiana State University","host_organization_lineage":["https://openalex.org/P4310315936"],"host_organization_lineage_names":["Louisiana State University"],"type":"journal"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Faculty Publications","raw_type":"text"},{"id":"pmh:oai:www.zora.uzh.ch:72788","is_oa":false,"landing_page_url":"https://www.zora.uzh.ch/72788","pdf_url":null,"source":{"id":"https://openalex.org/S4306401281","display_name":"Zurich Open Repository and Archive (University of Zurich)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I202697423","host_organization_name":"University of Zurich","host_organization_lineage":["https://openalex.org/I202697423"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Cohen, D; Costa, A; Farber, M; Kappeler, T  (2012). Topology of random 2-complexes.  Discrete & Computational Geometry, 47(1):117-149.","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"doi:10.1007/s00454-011-9378-0","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00454-011-9378-0","pdf_url":"https://link.springer.com/content/pdf/10.1007%2Fs00454-011-9378-0.pdf","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 &amp; Computational Geometry","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1724562900","display_name":null,"funder_award_id":"EP/H002383/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G3330119427","display_name":null,"funder_award_id":"EPSRC","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G7845798442","display_name":null,"funder_award_id":"H98230","funder_id":"https://openalex.org/F4320311089","funder_display_name":"National Security Agency"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320310395","display_name":"Louisiana State University","ror":"https://ror.org/05ect4e57"},{"id":"https://openalex.org/F4320311089","display_name":"National Security Agency","ror":"https://ror.org/0047bvr32"},{"id":"https://openalex.org/F4320320924","display_name":"Schweizerischer Nationalfonds zur F\u00f6rderung der Wissenschaftlichen Forschung","ror":"https://ror.org/00yjd3n13"},{"id":"https://openalex.org/F4320321652","display_name":"Eidgen\u00f6ssische Technische Hochschule Z\u00fcrich","ror":"https://ror.org/05a28rw58"},{"id":"https://openalex.org/F4320328470","display_name":"Mathematisches Forschungsinstitut Oberwolfach","ror":"https://ror.org/001zbj766"},{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2090464710.pdf","grobid_xml":"https://content.openalex.org/works/W2090464710.grobid-xml"},"referenced_works_count":24,"referenced_works":["https://openalex.org/W1517740373","https://openalex.org/W1541337318","https://openalex.org/W1971118555","https://openalex.org/W1995885398","https://openalex.org/W2018582120","https://openalex.org/W2021304992","https://openalex.org/W2050779694","https://openalex.org/W2073551812","https://openalex.org/W2079008903","https://openalex.org/W2090464710","https://openalex.org/W2093028042","https://openalex.org/W2157071288","https://openalex.org/W2478722229","https://openalex.org/W2962885031","https://openalex.org/W2963121792","https://openalex.org/W3000935033","https://openalex.org/W3040586665","https://openalex.org/W3083418760","https://openalex.org/W3142570770","https://openalex.org/W3143219376","https://openalex.org/W3144881883","https://openalex.org/W3151431871","https://openalex.org/W4243683184","https://openalex.org/W4255308044"],"related_works":["https://openalex.org/W4288359443","https://openalex.org/W2969857904","https://openalex.org/W2943582562","https://openalex.org/W2953190840","https://openalex.org/W1992772797","https://openalex.org/W2399269288","https://openalex.org/W4206371202","https://openalex.org/W401177922","https://openalex.org/W4386942271","https://openalex.org/W4301866047"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":5},{"year":2016,"cited_by_count":11},{"year":2015,"cited_by_count":13},{"year":2014,"cited_by_count":5},{"year":2013,"cited_by_count":6},{"year":2012,"cited_by_count":5}],"updated_date":"2026-04-21T08:09:41.155169","created_date":"2025-10-10T00:00:00"}
