{"id":"https://openalex.org/W2052179662","doi":"https://doi.org/10.1007/s004930070026","title":"A Lower Bound for the Translative Kissing Numbers of Simplices","display_name":"A Lower Bound for the Translative Kissing Numbers of Simplices","publication_year":2000,"publication_date":"2000-02-01","ids":{"openalex":"https://openalex.org/W2052179662","doi":"https://doi.org/10.1007/s004930070026","mag":"2052179662"},"language":"en","primary_location":{"id":"doi:10.1007/s004930070026","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s004930070026","pdf_url":null,"source":{"id":"https://openalex.org/S72366220","display_name":"COMBINATORICA","issn_l":"0209-9683","issn":["0209-9683","1439-6912"],"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":"Combinatorica","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://hdl.handle.net/2027.42/42312","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5111578818","display_name":"I. Talata","orcid":null},"institutions":[{"id":"https://openalex.org/I27837315","display_name":"University of Michigan\u2013Ann Arbor","ror":"https://ror.org/00jmfr291","country_code":"US","type":"education","lineage":["https://openalex.org/I27837315"]},{"id":"https://openalex.org/I82497590","display_name":"Auburn University","ror":"https://ror.org/02v80fc35","country_code":"US","type":"education","lineage":["https://openalex.org/I82497590"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"István Talata","raw_affiliation_strings":["Department of Mathematics, Auburn University; 218 Parker Hall, Auburn, AL 36849-5310, USA  and  Department of Mathematics, The University of Michigan; East Hall, 525 East University Avenue, Ann Arbor, MI 48109-1109, USA;","218 Parker Hall, Auburn, AL 36849-5310, USA  and  Department of Mathematics, The University of Michigan","East Hall, 525 East University Avenue, Ann Arbor, MI 48109-1109, USA","Department of Mathematics, Auburn University"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Auburn University; 218 Parker Hall, Auburn, AL 36849-5310, USA  and  Department of Mathematics, The University of Michigan; East Hall, 525 East University Avenue, Ann Arbor, MI 48109-1109, USA;","institution_ids":["https://openalex.org/I82497590"]},{"raw_affiliation_string":"218 Parker Hall, Auburn, AL 36849-5310, USA  and  Department of Mathematics, The University of Michigan","institution_ids":["https://openalex.org/I27837315"]},{"raw_affiliation_string":"East Hall, 525 East University Avenue, Ann Arbor, MI 48109-1109, USA","institution_ids":[]},{"raw_affiliation_string":"Department of Mathematics, Auburn University","institution_ids":["https://openalex.org/I82497590"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5111578818"],"corresponding_institution_ids":["https://openalex.org/I27837315","https://openalex.org/I82497590"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":4,"citation_normalized_percentile":{"value":0.18372979,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"20","issue":"2","first_page":"281","last_page":"293"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11830","display_name":"Point processes and geometric inequalities","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/T11830","display_name":"Point processes and geometric inequalities","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9966999888420105,"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/T13187","display_name":"Diffusion and Search Dynamics","score":0.9592999815940857,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8942357301712036},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.88084876537323},{"id":"https://openalex.org/keywords/simplex","display_name":"Simplex","score":0.7831599116325378},{"id":"https://openalex.org/keywords/convex-body","display_name":"Convex body","score":0.6742004752159119},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.6647500991821289},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.5306830406188965},{"id":"https://openalex.org/keywords/convex-hull","display_name":"Convex hull","score":0.1975266933441162},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.171511709690094},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.08154138922691345}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8942357301712036},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.88084876537323},{"id":"https://openalex.org/C62438384","wikidata":"https://www.wikidata.org/wiki/Q331350","display_name":"Simplex","level":2,"score":0.7831599116325378},{"id":"https://openalex.org/C134912446","wikidata":"https://www.wikidata.org/wiki/Q5166516","display_name":"Convex body","level":4,"score":0.6742004752159119},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.6647500991821289},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.5306830406188965},{"id":"https://openalex.org/C206194317","wikidata":"https://www.wikidata.org/wiki/Q1138624","display_name":"Convex hull","level":3,"score":0.1975266933441162},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.171511709690094},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.08154138922691345}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s004930070026","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s004930070026","pdf_url":null,"source":{"id":"https://openalex.org/S72366220","display_name":"COMBINATORICA","issn_l":"0209-9683","issn":["0209-9683","1439-6912"],"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":"Combinatorica","raw_type":"journal-article"},{"id":"pmh:oai:deepblue.lib.umich.edu:2027.42/42312","is_oa":true,"landing_page_url":"http://hdl.handle.net/2027.42/42312>","pdf_url":"https://hdl.handle.net/2027.42/42312","source":{"id":"https://openalex.org/S4306400393","display_name":"Deep Blue (University of Michigan)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I27837315","host_organization_name":"University of Michigan","host_organization_lineage":["https://openalex.org/I27837315"],"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":"Article"}],"best_oa_location":{"id":"pmh:oai:deepblue.lib.umich.edu:2027.42/42312","is_oa":true,"landing_page_url":"http://hdl.handle.net/2027.42/42312>","pdf_url":"https://hdl.handle.net/2027.42/42312","source":{"id":"https://openalex.org/S4306400393","display_name":"Deep Blue (University of Michigan)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I27837315","host_organization_name":"University of Michigan","host_organization_lineage":["https://openalex.org/I27837315"],"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":"Article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","score":0.6399999856948853,"display_name":"Reduced inequalities"}],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W2052179662.pdf"},"referenced_works_count":13,"referenced_works":["https://openalex.org/W102543617","https://openalex.org/W192875061","https://openalex.org/W1552744309","https://openalex.org/W1601038980","https://openalex.org/W1972427580","https://openalex.org/W1979961546","https://openalex.org/W1986527413","https://openalex.org/W2016789726","https://openalex.org/W2029253432","https://openalex.org/W2044180609","https://openalex.org/W2091915792","https://openalex.org/W2116096466","https://openalex.org/W4292414116"],"related_works":["https://openalex.org/W1918279020","https://openalex.org/W2952850945","https://openalex.org/W4301442314","https://openalex.org/W2106097701","https://openalex.org/W4300451918","https://openalex.org/W2735998528","https://openalex.org/W2341883566","https://openalex.org/W2119867895","https://openalex.org/W1993615288","https://openalex.org/W4301271320"],"abstract_inverted_index":null,"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}