{"id":"https://openalex.org/W1984293351","doi":"https://doi.org/10.1007/bf02711496","title":"Computation of betti numbers of monomial ideals associated with cyclic polytopes","display_name":"Computation of betti numbers of monomial ideals associated with cyclic polytopes","publication_year":1996,"publication_date":"1996-03-01","ids":{"openalex":"https://openalex.org/W1984293351","doi":"https://doi.org/10.1007/bf02711496","mag":"1984293351"},"language":"en","primary_location":{"id":"doi:10.1007/bf02711496","is_oa":true,"landing_page_url":"https://doi.org/10.1007/bf02711496","pdf_url":"https://link.springer.com/content/pdf/10.1007/BF02711496.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/BF02711496.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5035667536","display_name":"Naoki Terai","orcid":"https://orcid.org/0000-0002-9303-1361"},"institutions":[{"id":"https://openalex.org/I4210093166","display_name":"National Institute of Technology, Nagano College","ror":"https://ror.org/00kd5se19","country_code":"JP","type":"education","lineage":["https://openalex.org/I4210093166"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"N. Terai","raw_affiliation_strings":["Department of Mathematics, Nagano National College of Technology, 381, Nagano, Japan","Department of Mathematics, Nagano National College of Technology, Nagano, Japan 381#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Nagano National College of Technology, 381, Nagano, Japan","institution_ids":["https://openalex.org/I4210093166"]},{"raw_affiliation_string":"Department of Mathematics, Nagano National College of Technology, Nagano, Japan 381#TAB#","institution_ids":["https://openalex.org/I4210093166"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5005668319","display_name":"Takayuki Hibi","orcid":"https://orcid.org/0000-0002-7619-1152"},"institutions":[{"id":"https://openalex.org/I205349734","display_name":"Hokkaido University","ror":"https://ror.org/02e16g702","country_code":"JP","type":"education","lineage":["https://openalex.org/I205349734"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"T. Hibi","raw_affiliation_strings":["Department of Mathematics, Hokkaido University, 060, Sapporo, Japan","Department of Mathematics, Hokkaido University, Sapporo, Japan 060#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Hokkaido University, 060, Sapporo, Japan","institution_ids":["https://openalex.org/I205349734"]},{"raw_affiliation_string":"Department of Mathematics, Hokkaido University, Sapporo, Japan 060#TAB#","institution_ids":["https://openalex.org/I205349734"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":3.838,"has_fulltext":true,"cited_by_count":22,"citation_normalized_percentile":{"value":0.93901834,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"15","issue":"3","first_page":"287","last_page":"295"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12069","display_name":"Commutative Algebra and Its Applications","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9997000098228455,"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/T12536","display_name":"Topological and Geometric Data Analysis","score":0.9979000091552734,"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/betti-number","display_name":"Betti number","score":0.9565455913543701},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8734290599822998},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7273292541503906},{"id":"https://openalex.org/keywords/corollary","display_name":"Corollary","score":0.6675740480422974},{"id":"https://openalex.org/keywords/monomial","display_name":"Monomial","score":0.6600345969200134},{"id":"https://openalex.org/keywords/polytope","display_name":"Polytope","score":0.6567429304122925},{"id":"https://openalex.org/keywords/base","display_name":"Base (topology)","score":0.4550935924053192},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.44863763451576233},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.4305896759033203},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.06379196047782898}],"concepts":[{"id":"https://openalex.org/C129621563","wikidata":"https://www.wikidata.org/wiki/Q429593","display_name":"Betti number","level":2,"score":0.9565455913543701},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8734290599822998},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7273292541503906},{"id":"https://openalex.org/C2780012671","wikidata":"https://www.wikidata.org/wiki/Q1343870","display_name":"Corollary","level":2,"score":0.6675740480422974},{"id":"https://openalex.org/C11252640","wikidata":"https://www.wikidata.org/wiki/Q243723","display_name":"Monomial","level":2,"score":0.6600345969200134},{"id":"https://openalex.org/C145691206","wikidata":"https://www.wikidata.org/wiki/Q747980","display_name":"Polytope","level":2,"score":0.6567429304122925},{"id":"https://openalex.org/C42058472","wikidata":"https://www.wikidata.org/wiki/Q810214","display_name":"Base (topology)","level":2,"score":0.4550935924053192},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.44863763451576233},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.4305896759033203},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.06379196047782898},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/bf02711496","is_oa":true,"landing_page_url":"https://doi.org/10.1007/bf02711496","pdf_url":"https://link.springer.com/content/pdf/10.1007/BF02711496.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:eprints.lib.hokudai.ac.jp:2115/69028","is_oa":false,"landing_page_url":"http://hdl.handle.net/2115/69028","pdf_url":null,"source":{"id":"https://openalex.org/S4306400549","display_name":"Hokkaido University Collection of Scholarly and Academic Papers (Hokkaido University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205349734","host_organization_name":"Hokkaido University","host_organization_lineage":["https://openalex.org/I205349734"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"bulletin (article)"}],"best_oa_location":{"id":"doi:10.1007/bf02711496","is_oa":true,"landing_page_url":"https://doi.org/10.1007/bf02711496","pdf_url":"https://link.springer.com/content/pdf/10.1007/BF02711496.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":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1984293351.pdf","grobid_xml":"https://content.openalex.org/works/W1984293351.grobid-xml"},"referenced_works_count":19,"referenced_works":["https://openalex.org/W233313545","https://openalex.org/W402200086","https://openalex.org/W1515761639","https://openalex.org/W1516274256","https://openalex.org/W1519801683","https://openalex.org/W1970814953","https://openalex.org/W1972686801","https://openalex.org/W1974863678","https://openalex.org/W1984293351","https://openalex.org/W2018645515","https://openalex.org/W2030202009","https://openalex.org/W2031806265","https://openalex.org/W2049887259","https://openalex.org/W2066287678","https://openalex.org/W2071081900","https://openalex.org/W2089331003","https://openalex.org/W2753167712","https://openalex.org/W4206811917","https://openalex.org/W4230659860"],"related_works":["https://openalex.org/W1875848822","https://openalex.org/W4221158940","https://openalex.org/W4293584813","https://openalex.org/W4313197172","https://openalex.org/W2963000914","https://openalex.org/W2069932879","https://openalex.org/W2952279733","https://openalex.org/W2946572018","https://openalex.org/W4288359629","https://openalex.org/W180925886"],"abstract_inverted_index":null,"counts_by_year":[{"year":2016,"cited_by_count":3},{"year":2012,"cited_by_count":1}],"updated_date":"2026-06-15T08:34:33.830935","created_date":"2025-10-10T00:00:00"}
