{"id":"https://openalex.org/W1991325318","doi":"https://doi.org/10.1007/bf02574013","title":"Gaps in the numbers of vertices of cubical polytopes, I","display_name":"Gaps in the numbers of vertices of cubical polytopes, I","publication_year":1994,"publication_date":"1994-03-01","ids":{"openalex":"https://openalex.org/W1991325318","doi":"https://doi.org/10.1007/bf02574013","mag":"1991325318"},"language":"en","primary_location":{"id":"doi:10.1007/bf02574013","is_oa":true,"landing_page_url":"https://doi.org/10.1007/bf02574013","pdf_url":"https://link.springer.com/content/pdf/10.1007/BF02574013.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/BF02574013.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5031988643","display_name":"G. Blind","orcid":null},"institutions":[{"id":"https://openalex.org/I100066346","display_name":"University of Stuttgart","ror":"https://ror.org/04vnq7t77","country_code":"DE","type":"education","lineage":["https://openalex.org/I100066346"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"G. Blind","raw_affiliation_strings":["Mathematisches Institut B, Universit\u00e4t Stuttgart, Pfaffenwaldring 57, D-70550, Stuttgart (Vaihingen), Germany","Mathematisches Institut B, Universit\u00e4t Stuttgart, Stuttgart (Vaihingen), Germany D-70550#TAB#"],"affiliations":[{"raw_affiliation_string":"Mathematisches Institut B, Universit\u00e4t Stuttgart, Pfaffenwaldring 57, D-70550, Stuttgart (Vaihingen), Germany","institution_ids":["https://openalex.org/I100066346"]},{"raw_affiliation_string":"Mathematisches Institut B, Universit\u00e4t Stuttgart, Stuttgart (Vaihingen), Germany D-70550#TAB#","institution_ids":["https://openalex.org/I100066346"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5034158613","display_name":"R. Blind","orcid":null},"institutions":[{"id":"https://openalex.org/I4210148253","display_name":"Wala Heilmittel (Germany)","ror":"https://ror.org/046tk5b58","country_code":"DE","type":"company","lineage":["https://openalex.org/I4210148253"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"R. Blind","raw_affiliation_strings":["Waldburgstrasse 88, D-70563, Stuttgart (vaihingen), Germany",", Stuttgart (vaihingen), Germany D-70563#TAB#"],"affiliations":[{"raw_affiliation_string":"Waldburgstrasse 88, D-70563, Stuttgart (vaihingen), Germany","institution_ids":["https://openalex.org/I4210148253"]},{"raw_affiliation_string":", Stuttgart (vaihingen), Germany D-70563#TAB#","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5031988643"],"corresponding_institution_ids":["https://openalex.org/I100066346"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":3.0393,"has_fulltext":true,"cited_by_count":14,"citation_normalized_percentile":{"value":0.89645254,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"11","issue":"3","first_page":"351","last_page":"356"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.9993000030517578,"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":0.9993000030517578,"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/T12504","display_name":"Mathematics and Applications","score":0.9945999979972839,"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/T11428","display_name":"Advanced Mathematical Identities","score":0.9926999807357788,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.9016659259796143},{"id":"https://openalex.org/keywords/polytope","display_name":"Polytope","score":0.8931530714035034},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8021281361579895},{"id":"https://openalex.org/keywords/convex-polytope","display_name":"Convex polytope","score":0.6476295590400696},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.6466901302337646},{"id":"https://openalex.org/keywords/cube","display_name":"Cube (algebra)","score":0.5626428723335266},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.559343159198761},{"id":"https://openalex.org/keywords/facet","display_name":"Facet (psychology)","score":0.5415198802947998},{"id":"https://openalex.org/keywords/birkhoff-polytope","display_name":"Birkhoff polytope","score":0.43543657660484314},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.23291310667991638},{"id":"https://openalex.org/keywords/convex-set","display_name":"Convex set","score":0.15191525220870972},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.08472764492034912},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.07560038566589355}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.9016659259796143},{"id":"https://openalex.org/C145691206","wikidata":"https://www.wikidata.org/wiki/Q747980","display_name":"Polytope","level":2,"score":0.8931530714035034},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8021281361579895},{"id":"https://openalex.org/C110943637","wikidata":"https://www.wikidata.org/wiki/Q4129097","display_name":"Convex polytope","level":5,"score":0.6476295590400696},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.6466901302337646},{"id":"https://openalex.org/C53051483","wikidata":"https://www.wikidata.org/wiki/Q861555","display_name":"Cube (algebra)","level":2,"score":0.5626428723335266},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.559343159198761},{"id":"https://openalex.org/C43122875","wikidata":"https://www.wikidata.org/wiki/Q5428522","display_name":"Facet (psychology)","level":4,"score":0.5415198802947998},{"id":"https://openalex.org/C206304794","wikidata":"https://www.wikidata.org/wiki/Q4916482","display_name":"Birkhoff polytope","level":5,"score":0.43543657660484314},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.23291310667991638},{"id":"https://openalex.org/C49870271","wikidata":"https://www.wikidata.org/wiki/Q193657","display_name":"Convex set","level":4,"score":0.15191525220870972},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.08472764492034912},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.07560038566589355},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0},{"id":"https://openalex.org/C187288502","wikidata":"https://www.wikidata.org/wiki/Q641118","display_name":"Personality","level":2,"score":0.0},{"id":"https://openalex.org/C2865642","wikidata":"https://www.wikidata.org/wiki/Q378132","display_name":"Big Five personality traits","level":3,"score":0.0},{"id":"https://openalex.org/C77805123","wikidata":"https://www.wikidata.org/wiki/Q161272","display_name":"Social psychology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/bf02574013","is_oa":true,"landing_page_url":"https://doi.org/10.1007/bf02574013","pdf_url":"https://link.springer.com/content/pdf/10.1007/BF02574013.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"}],"best_oa_location":{"id":"doi:10.1007/bf02574013","is_oa":true,"landing_page_url":"https://doi.org/10.1007/bf02574013","pdf_url":"https://link.springer.com/content/pdf/10.1007/BF02574013.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":0.5099999904632568,"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11"}],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1991325318.pdf","grobid_xml":"https://content.openalex.org/works/W1991325318.grobid-xml"},"referenced_works_count":6,"referenced_works":["https://openalex.org/W1546959834","https://openalex.org/W1579678295","https://openalex.org/W1968197414","https://openalex.org/W1990980885","https://openalex.org/W2031806265","https://openalex.org/W2123473523"],"related_works":["https://openalex.org/W4297449612","https://openalex.org/W3105548266","https://openalex.org/W1976967559","https://openalex.org/W2953076628","https://openalex.org/W2085110259","https://openalex.org/W3012067785","https://openalex.org/W2069107464","https://openalex.org/W4288417334","https://openalex.org/W4292427120","https://openalex.org/W4243575619"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2013,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
