{"id":"https://openalex.org/W1487682591","doi":"https://doi.org/10.1007/978-3-540-68880-8_25","title":"No l Grid-Points in Spaces of Small Dimension","display_name":"No l Grid-Points in Spaces of Small Dimension","publication_year":2008,"publication_date":"2008-07-31","ids":{"openalex":"https://openalex.org/W1487682591","doi":"https://doi.org/10.1007/978-3-540-68880-8_25","mag":"1487682591"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-540-68880-8_25","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-68880-8_25","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5111723650","display_name":"Hanno Lefmann","orcid":null},"institutions":[{"id":"https://openalex.org/I2610724","display_name":"Chemnitz University of Technology","ror":"https://ror.org/00a208s56","country_code":"DE","type":"education","lineage":["https://openalex.org/I2610724"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Hanno Lefmann","raw_affiliation_strings":["Fakult\u00e4t f\u00fcr Informatik, TU Chemnitz, D-09107, Chemnitz, Germany","Fakult\u00e4t f\u00fcr Informatik, TU Chemnitz, Chemnitz, Germany D-09107#TAB#"],"affiliations":[{"raw_affiliation_string":"Fakult\u00e4t f\u00fcr Informatik, TU Chemnitz, D-09107, Chemnitz, Germany","institution_ids":["https://openalex.org/I2610724"]},{"raw_affiliation_string":"Fakult\u00e4t f\u00fcr Informatik, TU Chemnitz, Chemnitz, Germany D-09107#TAB#","institution_ids":["https://openalex.org/I2610724"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5111723650"],"corresponding_institution_ids":["https://openalex.org/I2610724"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.06643357,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"259","last_page":"270"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9998000264167786,"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":0.9998000264167786,"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/T12923","display_name":"Digital Image Processing Techniques","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/T10374","display_name":"Advanced Graph Theory Research","score":0.9990000128746033,"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/grid","display_name":"Grid","score":0.7365803122520447},{"id":"https://openalex.org/keywords/affine-transformation","display_name":"Affine transformation","score":0.7035661935806274},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.6366950869560242},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6031304001808167},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5308669209480286},{"id":"https://openalex.org/keywords/connection","display_name":"Connection (principal bundle)","score":0.5288535356521606},{"id":"https://openalex.org/keywords/subspace-topology","display_name":"Subspace topology","score":0.4971063435077667},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.47383174300193787},{"id":"https://openalex.org/keywords/line","display_name":"Line (geometry)","score":0.4599882662296295},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3684096932411194},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3544642925262451},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.17059969902038574},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1469992995262146},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.0801967978477478},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.07363495230674744}],"concepts":[{"id":"https://openalex.org/C187691185","wikidata":"https://www.wikidata.org/wiki/Q2020720","display_name":"Grid","level":2,"score":0.7365803122520447},{"id":"https://openalex.org/C92757383","wikidata":"https://www.wikidata.org/wiki/Q382497","display_name":"Affine transformation","level":2,"score":0.7035661935806274},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.6366950869560242},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6031304001808167},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5308669209480286},{"id":"https://openalex.org/C13355873","wikidata":"https://www.wikidata.org/wiki/Q2920850","display_name":"Connection (principal bundle)","level":2,"score":0.5288535356521606},{"id":"https://openalex.org/C32834561","wikidata":"https://www.wikidata.org/wiki/Q660730","display_name":"Subspace topology","level":2,"score":0.4971063435077667},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.47383174300193787},{"id":"https://openalex.org/C198352243","wikidata":"https://www.wikidata.org/wiki/Q37105","display_name":"Line (geometry)","level":2,"score":0.4599882662296295},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3684096932411194},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3544642925262451},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.17059969902038574},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1469992995262146},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0801967978477478},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.07363495230674744}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-540-68880-8_25","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-68880-8_25","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W50156612","https://openalex.org/W1515986906","https://openalex.org/W1533046786","https://openalex.org/W1539895965","https://openalex.org/W1555475515","https://openalex.org/W1812746088","https://openalex.org/W1966946221","https://openalex.org/W1982686221","https://openalex.org/W2003529351","https://openalex.org/W2011343037","https://openalex.org/W2026207439","https://openalex.org/W2028268419","https://openalex.org/W2052723037","https://openalex.org/W2071474047","https://openalex.org/W2084476854","https://openalex.org/W2130760369","https://openalex.org/W2143386956","https://openalex.org/W2157290820","https://openalex.org/W2159205115","https://openalex.org/W2162369562","https://openalex.org/W4213108673","https://openalex.org/W4239989929","https://openalex.org/W6604082220"],"related_works":["https://openalex.org/W1980381208","https://openalex.org/W587735977","https://openalex.org/W2364594919","https://openalex.org/W2167092671","https://openalex.org/W1978142926","https://openalex.org/W1861706286","https://openalex.org/W3157395178","https://openalex.org/W2219338811","https://openalex.org/W2149583853","https://openalex.org/W2143002539"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1}],"updated_date":"2026-04-11T08:14:18.477133","created_date":"2025-10-10T00:00:00"}
