{"id":"https://openalex.org/W1994614809","doi":"https://doi.org/10.1007/bf02187885","title":"Balanced subdivision and enumeration in balanced spheres","display_name":"Balanced subdivision and enumeration in balanced spheres","publication_year":1987,"publication_date":"1987-09-01","ids":{"openalex":"https://openalex.org/W1994614809","doi":"https://doi.org/10.1007/bf02187885","mag":"1994614809"},"language":"en","primary_location":{"id":"doi:10.1007/bf02187885","is_oa":true,"landing_page_url":"https://doi.org/10.1007/bf02187885","pdf_url":"https://link.springer.com/content/pdf/10.1007/BF02187885.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/BF02187885.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5008530739","display_name":"Louis J. Billera","orcid":null},"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/I205783295","display_name":"Cornell University","ror":"https://ror.org/05bnh6r87","country_code":"US","type":"education","lineage":["https://openalex.org/I205783295"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Louis J. Billera","raw_affiliation_strings":["Department of Mathematics and Center for Operations Research, Rutgers University, 08903, New Brunswick, NJ, USA","Department of Mathematics and School of Operations Research, Cornell University, 14853, Ithaca, NY, USA","Department of Mathematics and Center for Operations Research, Rutgers University, New Brunswick, USA","Department of Mathematics and School of Operations Research, Cornell University, Ithaca, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Center for Operations Research, Rutgers University, 08903, New Brunswick, NJ, USA","institution_ids":["https://openalex.org/I102322142"]},{"raw_affiliation_string":"Department of Mathematics and School of Operations Research, Cornell University, 14853, Ithaca, NY, USA","institution_ids":["https://openalex.org/I205783295"]},{"raw_affiliation_string":"Department of Mathematics and Center for Operations Research, Rutgers University, New Brunswick, USA","institution_ids":["https://openalex.org/I102322142"]},{"raw_affiliation_string":"Department of Mathematics and School of Operations Research, Cornell University, Ithaca, USA","institution_ids":["https://openalex.org/I205783295"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5111601174","display_name":"Katherine Eberhardt Magurn","orcid":null},"institutions":[{"id":"https://openalex.org/I83328450","display_name":"Miami University","ror":"https://ror.org/05nbqxr67","country_code":"US","type":"education","lineage":["https://openalex.org/I83328450"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Katherine E. Magurn","raw_affiliation_strings":["Department of Mathematics and Statistics, Miami University, 45056, Oxford, OH, USA","Department of Mathematics and Statistics, Miami University, Oxford, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, Miami University, 45056, Oxford, OH, USA","institution_ids":["https://openalex.org/I83328450"]},{"raw_affiliation_string":"Department of Mathematics and Statistics, Miami University, Oxford, USA","institution_ids":["https://openalex.org/I83328450"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5008530739"],"corresponding_institution_ids":["https://openalex.org/I102322142","https://openalex.org/I205783295"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":1.4154,"has_fulltext":true,"cited_by_count":6,"citation_normalized_percentile":{"value":0.74647887,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"2","issue":"3","first_page":"297","last_page":"317"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.9998000264167786,"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"}},"topics":[{"id":"https://openalex.org/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.9998000264167786,"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/T10304","display_name":"Geometric and Algebraic Topology","score":0.9983999729156494,"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"}},{"id":"https://openalex.org/T10061","display_name":"Algebraic Geometry and Number Theory","score":0.9983000159263611,"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":0.8431318998336792},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.823633074760437},{"id":"https://openalex.org/keywords/subdivision","display_name":"Subdivision","score":0.7546705007553101},{"id":"https://openalex.org/keywords/enumeration","display_name":"Enumeration","score":0.7242560386657715},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6306664943695068},{"id":"https://openalex.org/keywords/simplicial-complex","display_name":"Simplicial complex","score":0.5930390357971191},{"id":"https://openalex.org/keywords/affine-transformation","display_name":"Affine transformation","score":0.4930064380168915},{"id":"https://openalex.org/keywords/homology","display_name":"Homology (biology)","score":0.45863616466522217},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.36850178241729736},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3241440951824188}],"concepts":[{"id":"https://openalex.org/C145691206","wikidata":"https://www.wikidata.org/wiki/Q747980","display_name":"Polytope","level":2,"score":0.8431318998336792},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.823633074760437},{"id":"https://openalex.org/C143392562","wikidata":"https://www.wikidata.org/wiki/Q449111","display_name":"Subdivision","level":2,"score":0.7546705007553101},{"id":"https://openalex.org/C156340839","wikidata":"https://www.wikidata.org/wiki/Q2704791","display_name":"Enumeration","level":2,"score":0.7242560386657715},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6306664943695068},{"id":"https://openalex.org/C187929450","wikidata":"https://www.wikidata.org/wiki/Q994399","display_name":"Simplicial complex","level":2,"score":0.5930390357971191},{"id":"https://openalex.org/C92757383","wikidata":"https://www.wikidata.org/wiki/Q382497","display_name":"Affine transformation","level":2,"score":0.4930064380168915},{"id":"https://openalex.org/C165525559","wikidata":"https://www.wikidata.org/wiki/Q224180","display_name":"Homology (biology)","level":3,"score":0.45863616466522217},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.36850178241729736},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3241440951824188},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C166957645","wikidata":"https://www.wikidata.org/wiki/Q23498","display_name":"Archaeology","level":1,"score":0.0},{"id":"https://openalex.org/C95457728","wikidata":"https://www.wikidata.org/wiki/Q309","display_name":"History","level":0,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/bf02187885","is_oa":true,"landing_page_url":"https://doi.org/10.1007/bf02187885","pdf_url":"https://link.springer.com/content/pdf/10.1007/BF02187885.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:ecommons.cornell.edu:1813/8556","is_oa":false,"landing_page_url":"https://hdl.handle.net/1813/8556","pdf_url":null,"source":{"id":"https://openalex.org/S4306400757","display_name":"eCommons (Cornell University)","issn_l":null,"issn":null,"is_oa":false,"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":"technical report"}],"best_oa_location":{"id":"doi:10.1007/bf02187885","is_oa":true,"landing_page_url":"https://doi.org/10.1007/bf02187885","pdf_url":"https://link.springer.com/content/pdf/10.1007/BF02187885.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":[{"score":0.49000000953674316,"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11"}],"awards":[{"id":"https://openalex.org/G6129335806","display_name":"Mathematical Sciences: Combinatorial Aspects of Optimization","funder_award_id":"8403225","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":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1994614809.pdf","grobid_xml":"https://content.openalex.org/works/W1994614809.grobid-xml"},"referenced_works_count":20,"referenced_works":["https://openalex.org/W181961416","https://openalex.org/W632973827","https://openalex.org/W633200344","https://openalex.org/W1512955671","https://openalex.org/W1546959834","https://openalex.org/W1579678295","https://openalex.org/W1795105982","https://openalex.org/W1985426635","https://openalex.org/W2001860209","https://openalex.org/W2004332394","https://openalex.org/W2041186059","https://openalex.org/W2054009182","https://openalex.org/W2165125983","https://openalex.org/W2205062818","https://openalex.org/W2218040560","https://openalex.org/W2334279301","https://openalex.org/W2543755173","https://openalex.org/W2545672828","https://openalex.org/W3039194946","https://openalex.org/W4252947579"],"related_works":["https://openalex.org/W108845024","https://openalex.org/W4300125793","https://openalex.org/W2578985712","https://openalex.org/W2406961474","https://openalex.org/W2143566611","https://openalex.org/W2013740965","https://openalex.org/W2384806462","https://openalex.org/W588267724","https://openalex.org/W4297743441","https://openalex.org/W4388787494"],"abstract_inverted_index":null,"counts_by_year":[{"year":2022,"cited_by_count":1}],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2025-10-10T00:00:00"}
