{"id":"https://openalex.org/W4389705837","doi":"https://doi.org/10.37236/12017","title":"Nearly Gorenstein Polytopes","display_name":"Nearly Gorenstein Polytopes","publication_year":2023,"publication_date":"2023-12-14","ids":{"openalex":"https://openalex.org/W4389705837","doi":"https://doi.org/10.37236/12017"},"language":"en","primary_location":{"id":"doi:10.37236/12017","is_oa":true,"landing_page_url":"https://doi.org/10.37236/12017","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v30i4p42/pdf","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":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v30i4p42/pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5006397040","display_name":"Thomas E. Hall","orcid":"https://orcid.org/0000-0002-7718-7614"},"institutions":[{"id":"https://openalex.org/I142263535","display_name":"University of Nottingham","ror":"https://ror.org/01ee9ar58","country_code":"GB","type":"education","lineage":["https://openalex.org/I142263535"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Thomas Hall","raw_affiliation_strings":["University of Nottingham"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Nottingham","institution_ids":["https://openalex.org/I142263535"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101628047","display_name":"Max K\u00f6lbl","orcid":null},"institutions":[{"id":"https://openalex.org/I98285908","display_name":"The University of Osaka","ror":"https://ror.org/035t8zc32","country_code":"JP","type":"education","lineage":["https://openalex.org/I98285908"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Max K\u00f6lbl","raw_affiliation_strings":["Osaka University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Osaka University","institution_ids":["https://openalex.org/I98285908"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5104213547","display_name":"Koji Matsushita","orcid":null},"institutions":[{"id":"https://openalex.org/I98285908","display_name":"The University of Osaka","ror":"https://ror.org/035t8zc32","country_code":"JP","type":"education","lineage":["https://openalex.org/I98285908"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Koji Matsushita","raw_affiliation_strings":["Osaka University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Osaka University","institution_ids":["https://openalex.org/I98285908"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5011945800","display_name":"Sora Miyashita","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Sora Miyashita","raw_affiliation_strings":["Osaka"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Osaka","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":4.4654,"has_fulltext":true,"cited_by_count":7,"citation_normalized_percentile":{"value":0.95873786,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"30","issue":"4","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12069","display_name":"Commutative Algebra and Its Applications","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12069","display_name":"Commutative Algebra and Its Applications","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"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":0.996999979019165,"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"}},{"id":"https://openalex.org/T10287","display_name":"Algebraic structures and combinatorial models","score":0.9916999936103821,"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/polytope","display_name":"Polytope","score":0.9751108884811401},{"id":"https://openalex.org/keywords/matroid","display_name":"Matroid","score":0.8385664224624634},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7879667282104492},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7643727660179138},{"id":"https://openalex.org/keywords/lattice","display_name":"Lattice (music)","score":0.6296200752258301},{"id":"https://openalex.org/keywords/enhanced-data-rates-for-gsm-evolution","display_name":"Enhanced Data Rates for GSM Evolution","score":0.4635813236236572},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.32648950815200806},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.12695029377937317},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.043804943561553955},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.03596225380897522}],"concepts":[{"id":"https://openalex.org/C145691206","wikidata":"https://www.wikidata.org/wiki/Q747980","display_name":"Polytope","level":2,"score":0.9751108884811401},{"id":"https://openalex.org/C106286213","wikidata":"https://www.wikidata.org/wiki/Q898572","display_name":"Matroid","level":2,"score":0.8385664224624634},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7879667282104492},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7643727660179138},{"id":"https://openalex.org/C2781204021","wikidata":"https://www.wikidata.org/wiki/Q6497091","display_name":"Lattice (music)","level":2,"score":0.6296200752258301},{"id":"https://openalex.org/C162307627","wikidata":"https://www.wikidata.org/wiki/Q204833","display_name":"Enhanced Data Rates for GSM Evolution","level":2,"score":0.4635813236236572},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.32648950815200806},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.12695029377937317},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.043804943561553955},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.03596225380897522},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.37236/12017","is_oa":true,"landing_page_url":"https://doi.org/10.37236/12017","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v30i4p42/pdf","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"}],"best_oa_location":{"id":"doi:10.37236/12017","is_oa":true,"landing_page_url":"https://doi.org/10.37236/12017","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v30i4p42/pdf","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":[{"id":"https://openalex.org/G2577530667","display_name":null,"funder_award_id":"JP22J20033","funder_id":"https://openalex.org/F4320334764","funder_display_name":"Japan Society for the Promotion of Science"},{"id":"https://openalex.org/G7588585183","display_name":"\u30c8\u30fc\u30ea\u30c3\u30af\u74b0\u306e\u56e0\u5b50\u985e\u7fa4\u3068\u305d\u306e\u5fdc\u7528","funder_award_id":"22KJ2178","funder_id":"https://openalex.org/F4320334764","funder_display_name":"Japan Society for the Promotion of Science"},{"id":"https://openalex.org/G8842548244","display_name":null,"funder_award_id":"EP/N022513/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"}],"funders":[{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"},{"id":"https://openalex.org/F4320334764","display_name":"Japan Society for the Promotion of Science","ror":"https://ror.org/00hhkn466"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4389705837.pdf","grobid_xml":"https://content.openalex.org/works/W4389705837.grobid-xml"},"referenced_works_count":27,"referenced_works":["https://openalex.org/W161168904","https://openalex.org/W616685930","https://openalex.org/W659174506","https://openalex.org/W1584105846","https://openalex.org/W1639261687","https://openalex.org/W1669411420","https://openalex.org/W1976677460","https://openalex.org/W1984810622","https://openalex.org/W2015676663","https://openalex.org/W2058408846","https://openalex.org/W2058519988","https://openalex.org/W2091036661","https://openalex.org/W2493588983","https://openalex.org/W2921366347","https://openalex.org/W2925061142","https://openalex.org/W2963534373","https://openalex.org/W3047608830","https://openalex.org/W3102579460","https://openalex.org/W3104980036","https://openalex.org/W3160193211","https://openalex.org/W3192526548","https://openalex.org/W4213049304","https://openalex.org/W4226443078","https://openalex.org/W4251280006","https://openalex.org/W4319793297","https://openalex.org/W4387675731","https://openalex.org/W6629758673"],"related_works":["https://openalex.org/W2107784188","https://openalex.org/W4295332765","https://openalex.org/W4372320108","https://openalex.org/W2489571958","https://openalex.org/W1845479838","https://openalex.org/W2753535706","https://openalex.org/W2068573068","https://openalex.org/W2894444216","https://openalex.org/W2950516911","https://openalex.org/W2950982538"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3,34,45],"study":[4],"nearly":[5,30,41,50,56],"Gorensteinness":[6,57],"of":[7,49,58],"Ehrhart":[8,26],"rings":[9,27],"arising":[10],"from":[11],"lattice":[12,22],"polytopes.":[13,43],"We":[14],"give":[15,35],"necessary":[16],"conditions":[17,20],"and":[18,54,61],"sufficient":[19],"on":[21],"polytopes":[23,60],"for":[24,39],"their":[25],"to":[28],"be":[29],"Gorenstein.":[31],"Using":[32],"this,":[33],"an":[36],"efficient":[37],"method":[38],"constructing":[40],"Gorenstein":[42,51],"Moreover,":[44],"determine":[46],"the":[47],"structure":[48],"(0,":[52],"1)-polytopes":[53],"characterise":[55],"edge":[59],"graphic":[62],"matroids.":[63]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":1}],"updated_date":"2026-08-18T07:49:30.821534","created_date":"2025-10-10T00:00:00"}
