{"id":"https://openalex.org/W2118298437","doi":"https://doi.org/10.1137/15m1023841","title":"Minimal Balanced Triangulations of Sphere Bundles over the Circle","display_name":"Minimal Balanced Triangulations of Sphere Bundles over the Circle","publication_year":2016,"publication_date":"2016-01-01","ids":{"openalex":"https://openalex.org/W2118298437","doi":"https://doi.org/10.1137/15m1023841","mag":"2118298437"},"language":"en","primary_location":{"id":"doi:10.1137/15m1023841","is_oa":false,"landing_page_url":"https://doi.org/10.1137/15m1023841","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":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1505.05598","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Hailun Zheng","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Hailun Zheng","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.5045,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.60716387,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"30","issue":"2","first_page":"1259","last_page":"1268"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10896","display_name":"Homotopy and Cohomology in Algebraic Topology","score":0.3580999970436096,"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"}},"topics":[{"id":"https://openalex.org/T10896","display_name":"Homotopy and Cohomology in Algebraic Topology","score":0.3580999970436096,"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/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.25130000710487366,"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":0.16259999573230743,"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":0.8291000127792358},{"id":"https://openalex.org/keywords/bundle","display_name":"Bundle","score":0.6617000102996826},{"id":"https://openalex.org/keywords/simplicial-complex","display_name":"Simplicial complex","score":0.5873000025749207},{"id":"https://openalex.org/keywords/fiber-bundle","display_name":"Fiber bundle","score":0.4269999861717224},{"id":"https://openalex.org/keywords/homology","display_name":"Homology (biology)","score":0.42649999260902405},{"id":"https://openalex.org/keywords/simplicial-homology","display_name":"Simplicial homology","score":0.41830000281333923}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8629000186920166},{"id":"https://openalex.org/C129621563","wikidata":"https://www.wikidata.org/wiki/Q429593","display_name":"Betti number","level":2,"score":0.8291000127792358},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7541000247001648},{"id":"https://openalex.org/C2778134712","wikidata":"https://www.wikidata.org/wiki/Q1047307","display_name":"Bundle","level":2,"score":0.6617000102996826},{"id":"https://openalex.org/C187929450","wikidata":"https://www.wikidata.org/wiki/Q994399","display_name":"Simplicial complex","level":2,"score":0.5873000025749207},{"id":"https://openalex.org/C146710177","wikidata":"https://www.wikidata.org/wiki/Q1154996","display_name":"Fiber bundle","level":3,"score":0.4269999861717224},{"id":"https://openalex.org/C165525559","wikidata":"https://www.wikidata.org/wiki/Q224180","display_name":"Homology (biology)","level":3,"score":0.42649999260902405},{"id":"https://openalex.org/C3469331","wikidata":"https://www.wikidata.org/wiki/Q7520902","display_name":"Simplicial homology","level":3,"score":0.41830000281333923},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.33160001039505005},{"id":"https://openalex.org/C64245159","wikidata":"https://www.wikidata.org/wiki/Q3983972","display_name":"Simplicial approximation theorem","level":5,"score":0.29840001463890076},{"id":"https://openalex.org/C2874115","wikidata":"https://www.wikidata.org/wiki/Q17099562","display_name":"Persistent homology","level":2,"score":0.29420000314712524},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.27079999446868896},{"id":"https://openalex.org/C146867743","wikidata":"https://www.wikidata.org/wiki/Q4669959","display_name":"Abstract simplicial complex","level":3,"score":0.2689000070095062}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/15m1023841","is_oa":false,"landing_page_url":"https://doi.org/10.1137/15m1023841","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"},{"id":"pmh:oai:arXiv.org:1505.05598","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1505.05598","pdf_url":"https://arxiv.org/pdf/1505.05598","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1505.05598","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1505.05598","pdf_url":"https://arxiv.org/pdf/1505.05598","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G4595240596","display_name":null,"funder_award_id":"DMS-1361423","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":6,"referenced_works":["https://openalex.org/W1971126698","https://openalex.org/W1993173650","https://openalex.org/W2007083934","https://openalex.org/W2058567581","https://openalex.org/W2113224419","https://openalex.org/W2166171115"],"related_works":[],"abstract_inverted_index":{"We":[0],"determine":[1],"the":[2,21,30,34,64],"minimum":[3,35],"number":[4,36],"of":[5,12,37],"vertices":[6,38],"needed":[7],"to":[8,48],"provide":[9],"balanced":[10,50],"triangulations":[11],"$\\mathbb{S}^{d-2}$-bundles":[13],"over":[14],"$\\mathbb{S}^1$.":[15],"If":[16],"$d$":[17,26],"is":[18,23,27,32,39,43],"odd":[19],"and":[20,29,59],"bundle":[22,31],"orientable,":[24],"or":[25],"even":[28],"nonorientable,":[33],"$3d$;":[40],"otherwise,":[41],"it":[42],"$3d+2$.":[44],"Similar":[45],"results":[46],"apply":[47],"all":[49],"simplicial":[51],"complexes":[52],"that":[53],"triangulate":[54],"homology":[55],"manifolds":[56],"with":[57,68],"$\\beta_1\\neq0$":[58],"$\\beta_2=0$,":[60],"where":[61],"$\\beta_i$'s":[62],"are":[63],"Betti":[65],"numbers,":[66],"computed":[67],"coefficients":[69],"in":[70],"$\\mathbb{Q}$.":[71]},"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2016,"cited_by_count":1}],"updated_date":"2026-04-09T08:11:56.329763","created_date":"2016-06-24T00:00:00"}
