{"id":"https://openalex.org/W1991862305","doi":"https://doi.org/10.1007/pl00009369","title":"An Upper and a Lower Bound Theorem for Combinatorial 4-Manifolds","display_name":"An Upper and a Lower Bound Theorem for Combinatorial 4-Manifolds","publication_year":1998,"publication_date":"1998-04-01","ids":{"openalex":"https://openalex.org/W1991862305","doi":"https://doi.org/10.1007/pl00009369","mag":"1991862305"},"language":"en","primary_location":{"id":"doi:10.1007/pl00009369","is_oa":true,"landing_page_url":"https://doi.org/10.1007/pl00009369","pdf_url":"https://link.springer.com/content/pdf/10.1007/PL00009369.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/PL00009369.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5067912039","display_name":"Eric Sparla","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":"E. Sparla","raw_affiliation_strings":["Mathematisches Institut B, Universit\u00e4t Stuttgart, 70550 Stuttgart, Germany sparla@mathematik.uni-stuttgart.de, , , , , , DE","Mathematisches Institut B, Universit\u00e4t Stuttgart, 70550 Stuttgart, Germany sparla@mathematik.uni-stuttgart.de, DE"],"affiliations":[{"raw_affiliation_string":"Mathematisches Institut B, Universit\u00e4t Stuttgart, 70550 Stuttgart, Germany sparla@mathematik.uni-stuttgart.de, , , , , , DE","institution_ids":["https://openalex.org/I100066346"]},{"raw_affiliation_string":"Mathematisches Institut B, Universit\u00e4t Stuttgart, 70550 Stuttgart, Germany sparla@mathematik.uni-stuttgart.de, DE","institution_ids":["https://openalex.org/I100066346"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5067912039"],"corresponding_institution_ids":["https://openalex.org/I100066346"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":1.2374,"has_fulltext":true,"cited_by_count":18,"citation_normalized_percentile":{"value":0.80111902,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"19","issue":"4","first_page":"575","last_page":"593"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9990000128746033,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9990000128746033,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.9987999796867371,"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":0.9951000213623047,"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/mathematics","display_name":"Mathematics","score":0.8792752027511597},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.8032238483428955},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.6042793989181519},{"id":"https://openalex.org/keywords/euler-characteristic","display_name":"Euler characteristic","score":0.5966272950172424},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.5418520569801331},{"id":"https://openalex.org/keywords/polytope","display_name":"Polytope","score":0.5133703947067261},{"id":"https://openalex.org/keywords/simplicial-complex","display_name":"Simplicial complex","score":0.4935375452041626},{"id":"https://openalex.org/keywords/triangulation","display_name":"Triangulation","score":0.43506336212158203},{"id":"https://openalex.org/keywords/manifold","display_name":"Manifold (fluid mechanics)","score":0.43294820189476013},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.37809282541275024},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3217625617980957},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.09111708402633667},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.08254018425941467}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8792752027511597},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8032238483428955},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.6042793989181519},{"id":"https://openalex.org/C196433757","wikidata":"https://www.wikidata.org/wiki/Q852973","display_name":"Euler characteristic","level":2,"score":0.5966272950172424},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.5418520569801331},{"id":"https://openalex.org/C145691206","wikidata":"https://www.wikidata.org/wiki/Q747980","display_name":"Polytope","level":2,"score":0.5133703947067261},{"id":"https://openalex.org/C187929450","wikidata":"https://www.wikidata.org/wiki/Q994399","display_name":"Simplicial complex","level":2,"score":0.4935375452041626},{"id":"https://openalex.org/C135981907","wikidata":"https://www.wikidata.org/wiki/Q188056","display_name":"Triangulation","level":2,"score":0.43506336212158203},{"id":"https://openalex.org/C529865628","wikidata":"https://www.wikidata.org/wiki/Q1790740","display_name":"Manifold (fluid mechanics)","level":2,"score":0.43294820189476013},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.37809282541275024},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3217625617980957},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.09111708402633667},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.08254018425941467},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/pl00009369","is_oa":true,"landing_page_url":"https://doi.org/10.1007/pl00009369","pdf_url":"https://link.springer.com/content/pdf/10.1007/PL00009369.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/pl00009369","is_oa":true,"landing_page_url":"https://doi.org/10.1007/pl00009369","pdf_url":"https://link.springer.com/content/pdf/10.1007/PL00009369.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":[{"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10","score":0.4699999988079071}],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1991862305.pdf","grobid_xml":"https://content.openalex.org/works/W1991862305.grobid-xml"},"referenced_works_count":16,"referenced_works":["https://openalex.org/W29206020","https://openalex.org/W567226596","https://openalex.org/W1516308076","https://openalex.org/W1565709665","https://openalex.org/W1598449691","https://openalex.org/W2015637376","https://openalex.org/W2027410459","https://openalex.org/W2034205570","https://openalex.org/W2047723521","https://openalex.org/W2052414950","https://openalex.org/W2082598343","https://openalex.org/W2473996219","https://openalex.org/W2486409092","https://openalex.org/W4230533591","https://openalex.org/W4230773447","https://openalex.org/W6776824228"],"related_works":["https://openalex.org/W1190198319","https://openalex.org/W3013206953","https://openalex.org/W4287822794","https://openalex.org/W3099654277","https://openalex.org/W2070001083","https://openalex.org/W4319591071","https://openalex.org/W377239432","https://openalex.org/W4298446668","https://openalex.org/W4319453120","https://openalex.org/W2594921714"],"abstract_inverted_index":null,"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
