{"id":"https://openalex.org/W4396591738","doi":"https://doi.org/10.1137/23m1569162","title":"Hypergraph Horn Functions","display_name":"Hypergraph Horn Functions","publication_year":2024,"publication_date":"2024-05-02","ids":{"openalex":"https://openalex.org/W4396591738","doi":"https://doi.org/10.1137/23m1569162"},"language":"en","primary_location":{"id":"doi:10.1137/23m1569162","is_oa":false,"landing_page_url":"https://doi.org/10.1137/23m1569162","pdf_url":null,"source":{"id":"https://openalex.org/S117679221","display_name":"SIAM Journal on Discrete Mathematics","issn_l":"0895-4801","issn":["0895-4801","1095-7146"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Discrete Mathematics","raw_type":"journal-article"},"type":"article","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/A5064012507","display_name":"Krist\u00f3f B\u00e9rczi","orcid":"https://orcid.org/0000-0003-0457-4573"},"institutions":[{"id":"https://openalex.org/I106118109","display_name":"E\u00f6tv\u00f6s Lor\u00e1nd University","ror":"https://ror.org/01jsq2704","country_code":"HU","type":"education","lineage":["https://openalex.org/I106118109"]}],"countries":["HU"],"is_corresponding":true,"raw_author_name":"Krist\u00f3f B\u00e9rczi","raw_affiliation_strings":["MTA-ELTE Momentum Matroid Optimization Research Group and ELKH-ELTE Egerv\u00e1ry Research Group, Department of Operations Research, E\u00f6tv\u00f6s Lor\u00e1nd University, Budapest, Hungary"],"raw_orcid":"https://orcid.org/0000-0003-0457-4573","affiliations":[{"raw_affiliation_string":"MTA-ELTE Momentum Matroid Optimization Research Group and ELKH-ELTE Egerv\u00e1ry Research Group, Department of Operations Research, E\u00f6tv\u00f6s Lor\u00e1nd University, Budapest, Hungary","institution_ids":["https://openalex.org/I106118109"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5057621825","display_name":"Endre Boros","orcid":"https://orcid.org/0000-0001-8206-3168"},"institutions":[{"id":"https://openalex.org/I102322142","display_name":"Rutgers, The State University of New Jersey","ror":"https://ror.org/05vt9qd57","country_code":"US","type":"education","lineage":["https://openalex.org/I102322142"]},{"id":"https://openalex.org/I4210109165","display_name":"Environmental and Occupational Health Sciences Institute","ror":"https://ror.org/01vta4r13","country_code":"US","type":"education","lineage":["https://openalex.org/I4210109165"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Endre Boros","raw_affiliation_strings":["MSIS Department and RUTCOR, Rutgers University, Piscataway, NJ 08854 USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"MSIS Department and RUTCOR, Rutgers University, Piscataway, NJ 08854 USA","institution_ids":["https://openalex.org/I102322142","https://openalex.org/I4210109165"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5110768204","display_name":"Kazuhisa Makino","orcid":"https://orcid.org/0009-0000-9771-4955"},"institutions":[{"id":"https://openalex.org/I22299242","display_name":"Kyoto University","ror":"https://ror.org/02kpeqv85","country_code":"JP","type":"education","lineage":["https://openalex.org/I22299242"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Kazuhisa Makino","raw_affiliation_strings":["Research Institute for Mathematical Sciences (RIMS) Kyoto University, Kyoto, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Research Institute for Mathematical Sciences (RIMS) Kyoto University, Kyoto, Japan","institution_ids":["https://openalex.org/I22299242"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5064012507"],"corresponding_institution_ids":["https://openalex.org/I106118109"],"apc_list":null,"apc_paid":null,"fwci":1.0371,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.77449122,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":96,"max":97},"biblio":{"volume":"38","issue":"2","first_page":"1417","last_page":"1437"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9901000261306763,"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/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9901000261306763,"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/T10317","display_name":"Advanced Database Systems and Queries","score":0.9731000065803528,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T11596","display_name":"Constraint Satisfaction and Optimization","score":0.9728000164031982,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/hypergraph","display_name":"Hypergraph","score":0.9221723079681396},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.735548734664917},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5832005739212036},{"id":"https://openalex.org/keywords/french-horn","display_name":"French horn","score":0.5542284846305847},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4275192618370056}],"concepts":[{"id":"https://openalex.org/C2781221856","wikidata":"https://www.wikidata.org/wiki/Q840247","display_name":"Hypergraph","level":2,"score":0.9221723079681396},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.735548734664917},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5832005739212036},{"id":"https://openalex.org/C152076505","wikidata":"https://www.wikidata.org/wiki/Q1126540","display_name":"French horn","level":2,"score":0.5542284846305847},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4275192618370056},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0},{"id":"https://openalex.org/C19417346","wikidata":"https://www.wikidata.org/wiki/Q7922","display_name":"Pedagogy","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/23m1569162","is_oa":false,"landing_page_url":"https://doi.org/10.1137/23m1569162","pdf_url":null,"source":{"id":"https://openalex.org/S117679221","display_name":"SIAM Journal on Discrete Mathematics","issn_l":"0895-4801","issn":["0895-4801","1095-7146"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Discrete Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W180578187","https://openalex.org/W966413371","https://openalex.org/W1504434797","https://openalex.org/W1530765221","https://openalex.org/W1558528332","https://openalex.org/W2012428008","https://openalex.org/W2021929022","https://openalex.org/W2026784850","https://openalex.org/W2041182895","https://openalex.org/W2058269520","https://openalex.org/W2065895258","https://openalex.org/W2087588854","https://openalex.org/W2093776691","https://openalex.org/W2115826669","https://openalex.org/W2145062905","https://openalex.org/W2168578744","https://openalex.org/W2171094216","https://openalex.org/W2487964192","https://openalex.org/W4255288880","https://openalex.org/W4388987575"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W4376608589","https://openalex.org/W1537073411","https://openalex.org/W3138003926","https://openalex.org/W1630514295","https://openalex.org/W4300037846","https://openalex.org/W4288275998","https://openalex.org/W3094179932","https://openalex.org/W3005801850","https://openalex.org/W2950595062"],"abstract_inverted_index":{".Horn":[0],"functions":[1,7,15,42,56,91],"form":[2],"a":[3,17,101,107,117,123,127],"subclass":[4,38],"of":[5,39,53,59,71,80],"Boolean":[6],"possessing":[8],"interesting":[9],"structural":[10],"and":[11,29,46,61,74,92,111],"computational":[12],"properties.":[13],"These":[14],"play":[16],"fundamental":[18],"role":[19],"in":[20,57,134],"algebra,":[21],"artificial":[22],"intelligence,":[23],"combinatorics,":[24],"computer":[25],"science,":[26],"database":[27],"theory,":[28],"logic.":[30],"In":[31],"the":[32,37,62,75,95],"present":[33],"paper,":[34],"we":[35],"introduce":[36],"hypergraph":[40,54,89,108,119,128],"Horn":[41,55,90,104,109,129],"that":[43,94],"generalizes":[44],"matroids":[45],"equivalence":[47],"relations.":[48],"We":[49,83],"provide":[50],"multiple":[51],"characterizations":[52],"terms":[58],"implicate-duality":[60],"closure":[63],"operator,":[64],"which":[65],"are,":[66],"respectively,":[67],"regarded":[68],"as":[69,122],"generalizations":[70],"matroid":[72,81],"duality":[73],"Mac":[76],"Lane\u2013Steinitz":[77],"exchange":[78],"property":[79],"closure.":[82],"also":[84],"study":[85],"algorithmic":[86],"issues":[87],"on":[88],"show":[93],"recognition":[96],"problem":[97],"(i.e.,":[98,114],"deciding":[99,115],"if":[100,116],"given":[102,118],"definite":[103],"CNF":[105],"represents":[106],"function)":[110,130],"key":[112,124],"realization":[113],"is":[120],"realized":[121],"set":[125],"by":[126],"can":[131,140],"be":[132,141],"done":[133],"polynomial":[135,144],"time,":[136],"while":[137],"implicate":[138],"sets":[139],"generated":[142],"with":[143],"delay.KeywordsalgorithmsdualityHorn":[145],"functionshypergraphsMSC":[146],"codes06E3005C6590C27":[147]},"counts_by_year":[{"year":2025,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}