{"id":"https://openalex.org/W2161559642","doi":"https://doi.org/10.1007/3-540-45071-8_21","title":"Matroid Representation of Clique Complexes","display_name":"Matroid Representation of Clique Complexes","publication_year":2003,"publication_date":"2003-01-01","ids":{"openalex":"https://openalex.org/W2161559642","doi":"https://doi.org/10.1007/3-540-45071-8_21","mag":"2161559642"},"language":"en","primary_location":{"id":"doi:10.1007/3-540-45071-8_21","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-45071-8_21","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5009741215","display_name":"Kenji Kashiwabara","orcid":null},"institutions":[{"id":"https://openalex.org/I74801974","display_name":"The University of Tokyo","ror":"https://ror.org/057zh3y96","country_code":"JP","type":"education","lineage":["https://openalex.org/I74801974"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Kenji Kashiwabara","raw_affiliation_strings":["Department of Systems Science, Graduate School of Arts and Sciences, The University of Tokyo, 3-8-1, Komaba, Meguro, Tokyo, 153-8902, Japan"],"affiliations":[{"raw_affiliation_string":"Department of Systems Science, Graduate School of Arts and Sciences, The University of Tokyo, 3-8-1, Komaba, Meguro, Tokyo, 153-8902, Japan","institution_ids":["https://openalex.org/I74801974"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5080521209","display_name":"Yoshio Okamoto","orcid":"https://orcid.org/0000-0002-9826-7074"},"institutions":[{"id":"https://openalex.org/I35440088","display_name":"ETH Zurich","ror":"https://ror.org/05a28rw58","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I35440088"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Yoshio Okamoto","raw_affiliation_strings":["Institute of Theoretical Computer Science, Department of Computer Science, ETH Zurich, ETH Zentrum, CH-8092, Zurich, Switzerland"],"affiliations":[{"raw_affiliation_string":"Institute of Theoretical Computer Science, Department of Computer Science, ETH Zurich, ETH Zentrum, CH-8092, Zurich, Switzerland","institution_ids":["https://openalex.org/I35440088"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5076101253","display_name":"Takeaki Uno","orcid":"https://orcid.org/0000-0001-7274-279X"},"institutions":[{"id":"https://openalex.org/I184597095","display_name":"National Institute of Informatics","ror":"https://ror.org/04ksd4g47","country_code":"JP","type":"facility","lineage":["https://openalex.org/I1319490839","https://openalex.org/I184597095","https://openalex.org/I4210158934"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Takeaki Uno","raw_affiliation_strings":["National Institute of Informatics, 2-1-2, Hitotsubashi, Chiyoda, Tokyo, 101-8430, Japan"],"affiliations":[{"raw_affiliation_string":"National Institute of Informatics, 2-1-2, Hitotsubashi, Chiyoda, Tokyo, 101-8430, Japan","institution_ids":["https://openalex.org/I184597095"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5009741215"],"corresponding_institution_ids":["https://openalex.org/I74801974"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.20267746,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"192","last_page":"201"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9998000264167786,"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/T10374","display_name":"Advanced Graph Theory Research","score":0.9998000264167786,"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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9998000264167786,"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/T12536","display_name":"Topological and Geometric Data Analysis","score":0.9958999752998352,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/matroid","display_name":"Matroid","score":0.9026135802268982},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7583425045013428},{"id":"https://openalex.org/keywords/clique-graph","display_name":"Clique graph","score":0.6839087009429932},{"id":"https://openalex.org/keywords/clique-problem","display_name":"Clique problem","score":0.5911858081817627},{"id":"https://openalex.org/keywords/split-graph","display_name":"Split graph","score":0.5277089476585388},{"id":"https://openalex.org/keywords/clique","display_name":"Clique","score":0.5253053307533264},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.5046087503433228},{"id":"https://openalex.org/keywords/perfect-graph","display_name":"Perfect graph","score":0.47615715861320496},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.46782416105270386},{"id":"https://openalex.org/keywords/block-graph","display_name":"Block graph","score":0.46417805552482605},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4625079035758972},{"id":"https://openalex.org/keywords/clique-sum","display_name":"Clique-sum","score":0.4556191563606262},{"id":"https://openalex.org/keywords/greedy-algorithm","display_name":"Greedy algorithm","score":0.4455575942993164},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.36149725317955017},{"id":"https://openalex.org/keywords/chordal-graph","display_name":"Chordal graph","score":0.31298959255218506},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.19266054034233093},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.18465664982795715},{"id":"https://openalex.org/keywords/pathwidth","display_name":"Pathwidth","score":0.1095798909664154},{"id":"https://openalex.org/keywords/graph-power","display_name":"Graph power","score":0.08219367265701294}],"concepts":[{"id":"https://openalex.org/C106286213","wikidata":"https://www.wikidata.org/wiki/Q898572","display_name":"Matroid","level":2,"score":0.9026135802268982},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7583425045013428},{"id":"https://openalex.org/C189239283","wikidata":"https://www.wikidata.org/wiki/Q17101022","display_name":"Clique graph","level":5,"score":0.6839087009429932},{"id":"https://openalex.org/C150997102","wikidata":"https://www.wikidata.org/wiki/Q1196873","display_name":"Clique problem","level":5,"score":0.5911858081817627},{"id":"https://openalex.org/C8554925","wikidata":"https://www.wikidata.org/wiki/Q3893853","display_name":"Split graph","level":5,"score":0.5277089476585388},{"id":"https://openalex.org/C2777035058","wikidata":"https://www.wikidata.org/wiki/Q1662634","display_name":"Clique","level":2,"score":0.5253053307533264},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5046087503433228},{"id":"https://openalex.org/C32972407","wikidata":"https://www.wikidata.org/wiki/Q1187620","display_name":"Perfect graph","level":5,"score":0.47615715861320496},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.46782416105270386},{"id":"https://openalex.org/C43413943","wikidata":"https://www.wikidata.org/wiki/Q4927193","display_name":"Block graph","level":5,"score":0.46417805552482605},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4625079035758972},{"id":"https://openalex.org/C186942658","wikidata":"https://www.wikidata.org/wiki/Q5134410","display_name":"Clique-sum","level":5,"score":0.4556191563606262},{"id":"https://openalex.org/C51823790","wikidata":"https://www.wikidata.org/wiki/Q504353","display_name":"Greedy algorithm","level":2,"score":0.4455575942993164},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.36149725317955017},{"id":"https://openalex.org/C160446614","wikidata":"https://www.wikidata.org/wiki/Q1322892","display_name":"Chordal graph","level":3,"score":0.31298959255218506},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.19266054034233093},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.18465664982795715},{"id":"https://openalex.org/C43517604","wikidata":"https://www.wikidata.org/wiki/Q7144893","display_name":"Pathwidth","level":4,"score":0.1095798909664154},{"id":"https://openalex.org/C149530733","wikidata":"https://www.wikidata.org/wiki/Q5597091","display_name":"Graph power","level":4,"score":0.08219367265701294},{"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":1,"locations":[{"id":"doi:10.1007/3-540-45071-8_21","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-45071-8_21","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W1510730180","https://openalex.org/W1599161138","https://openalex.org/W1972885539","https://openalex.org/W1991528957","https://openalex.org/W2011039300","https://openalex.org/W2017269841","https://openalex.org/W2033329811","https://openalex.org/W2071016718","https://openalex.org/W2081254453","https://openalex.org/W2085366727","https://openalex.org/W2087299949","https://openalex.org/W2089417393","https://openalex.org/W2111741734","https://openalex.org/W2115469827","https://openalex.org/W2164386355","https://openalex.org/W2747965152","https://openalex.org/W2990955569","https://openalex.org/W3152126650","https://openalex.org/W4253838773","https://openalex.org/W4297399141","https://openalex.org/W4385397173"],"related_works":["https://openalex.org/W2219991221","https://openalex.org/W2186006531","https://openalex.org/W1539736381","https://openalex.org/W2378179553","https://openalex.org/W2067182946","https://openalex.org/W1555684320","https://openalex.org/W3092261709","https://openalex.org/W2313469095","https://openalex.org/W1993482781","https://openalex.org/W2051477601"],"abstract_inverted_index":null,"counts_by_year":[{"year":2016,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}