{"id":"https://openalex.org/W1480113909","doi":"https://doi.org/10.1007/978-3-642-18381-2_15","title":"Collisionless Gathering of Robots with an Extent","display_name":"Collisionless Gathering of Robots with an Extent","publication_year":2011,"publication_date":"2011-01-01","ids":{"openalex":"https://openalex.org/W1480113909","doi":"https://doi.org/10.1007/978-3-642-18381-2_15","mag":"1480113909"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-642-18381-2_15","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-18381-2_15","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/A5036679726","display_name":"Andreas Cord-Landwehr","orcid":null},"institutions":[{"id":"https://openalex.org/I206945453","display_name":"Paderborn University","ror":"https://ror.org/058kzsd48","country_code":"DE","type":"education","lineage":["https://openalex.org/I206945453"]},{"id":"https://openalex.org/I4210152224","display_name":"Heinz Nixdorf Stiftung","ror":"https://ror.org/04j2tkk21","country_code":"DE","type":"nonprofit","lineage":["https://openalex.org/I4210152224"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Andreas Cord-Landwehr","raw_affiliation_strings":["Heinz Nixdorf Institute, Computer Science Department, University of Paderborn, Germany","Heinz Nixdorf Institute, Computer Science Department, University of Paderborn"],"affiliations":[{"raw_affiliation_string":"Heinz Nixdorf Institute, Computer Science Department, University of Paderborn, Germany","institution_ids":["https://openalex.org/I4210152224","https://openalex.org/I206945453"]},{"raw_affiliation_string":"Heinz Nixdorf Institute, Computer Science Department, University of Paderborn","institution_ids":["https://openalex.org/I206945453"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5066191243","display_name":"Bastian Degener","orcid":null},"institutions":[{"id":"https://openalex.org/I206945453","display_name":"Paderborn University","ror":"https://ror.org/058kzsd48","country_code":"DE","type":"education","lineage":["https://openalex.org/I206945453"]},{"id":"https://openalex.org/I4210152224","display_name":"Heinz Nixdorf Stiftung","ror":"https://ror.org/04j2tkk21","country_code":"DE","type":"nonprofit","lineage":["https://openalex.org/I4210152224"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Bastian Degener","raw_affiliation_strings":["Heinz Nixdorf Institute, Computer Science Department, University of Paderborn, Germany","Heinz Nixdorf Institute, Computer Science Department, University of Paderborn"],"affiliations":[{"raw_affiliation_string":"Heinz Nixdorf Institute, Computer Science Department, University of Paderborn, Germany","institution_ids":["https://openalex.org/I4210152224","https://openalex.org/I206945453"]},{"raw_affiliation_string":"Heinz Nixdorf Institute, Computer Science Department, University of Paderborn","institution_ids":["https://openalex.org/I206945453"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101897736","display_name":"Matthias Fischer","orcid":"https://orcid.org/0000-0002-3338-8406"},"institutions":[{"id":"https://openalex.org/I4210152224","display_name":"Heinz Nixdorf Stiftung","ror":"https://ror.org/04j2tkk21","country_code":"DE","type":"nonprofit","lineage":["https://openalex.org/I4210152224"]},{"id":"https://openalex.org/I206945453","display_name":"Paderborn University","ror":"https://ror.org/058kzsd48","country_code":"DE","type":"education","lineage":["https://openalex.org/I206945453"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Matthias Fischer","raw_affiliation_strings":["Heinz Nixdorf Institute, Computer Science Department, University of Paderborn, Germany","Heinz Nixdorf Institute, Computer Science Department, University of Paderborn"],"affiliations":[{"raw_affiliation_string":"Heinz Nixdorf Institute, Computer Science Department, University of Paderborn, Germany","institution_ids":["https://openalex.org/I4210152224","https://openalex.org/I206945453"]},{"raw_affiliation_string":"Heinz Nixdorf Institute, Computer Science Department, University of Paderborn","institution_ids":["https://openalex.org/I206945453"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5060827874","display_name":"Martina H\u00fcllmann","orcid":null},"institutions":[{"id":"https://openalex.org/I4210152224","display_name":"Heinz Nixdorf Stiftung","ror":"https://ror.org/04j2tkk21","country_code":"DE","type":"nonprofit","lineage":["https://openalex.org/I4210152224"]},{"id":"https://openalex.org/I206945453","display_name":"Paderborn University","ror":"https://ror.org/058kzsd48","country_code":"DE","type":"education","lineage":["https://openalex.org/I206945453"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Martina H\u00fcllmann","raw_affiliation_strings":["Heinz Nixdorf Institute, Computer Science Department, University of Paderborn, Germany","Heinz Nixdorf Institute, Computer Science Department, University of Paderborn"],"affiliations":[{"raw_affiliation_string":"Heinz Nixdorf Institute, Computer Science Department, University of Paderborn, Germany","institution_ids":["https://openalex.org/I4210152224","https://openalex.org/I206945453"]},{"raw_affiliation_string":"Heinz Nixdorf Institute, Computer Science Department, University of Paderborn","institution_ids":["https://openalex.org/I206945453"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5057341664","display_name":"Barbara Kempkes","orcid":null},"institutions":[{"id":"https://openalex.org/I4210152224","display_name":"Heinz Nixdorf Stiftung","ror":"https://ror.org/04j2tkk21","country_code":"DE","type":"nonprofit","lineage":["https://openalex.org/I4210152224"]},{"id":"https://openalex.org/I206945453","display_name":"Paderborn University","ror":"https://ror.org/058kzsd48","country_code":"DE","type":"education","lineage":["https://openalex.org/I206945453"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Barbara Kempkes","raw_affiliation_strings":["Heinz Nixdorf Institute, Computer Science Department, University of Paderborn, Germany","Heinz Nixdorf Institute, Computer Science Department, University of Paderborn"],"affiliations":[{"raw_affiliation_string":"Heinz Nixdorf Institute, Computer Science Department, University of Paderborn, Germany","institution_ids":["https://openalex.org/I4210152224","https://openalex.org/I206945453"]},{"raw_affiliation_string":"Heinz Nixdorf Institute, Computer Science Department, University of Paderborn","institution_ids":["https://openalex.org/I206945453"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5025670770","display_name":"Alexander Klaas","orcid":null},"institutions":[{"id":"https://openalex.org/I206945453","display_name":"Paderborn University","ror":"https://ror.org/058kzsd48","country_code":"DE","type":"education","lineage":["https://openalex.org/I206945453"]},{"id":"https://openalex.org/I4210152224","display_name":"Heinz Nixdorf Stiftung","ror":"https://ror.org/04j2tkk21","country_code":"DE","type":"nonprofit","lineage":["https://openalex.org/I4210152224"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Alexander Klaas","raw_affiliation_strings":["Heinz Nixdorf Institute, Computer Science Department, University of Paderborn, Germany","Heinz Nixdorf Institute, Computer Science Department, University of Paderborn"],"affiliations":[{"raw_affiliation_string":"Heinz Nixdorf Institute, Computer Science Department, University of Paderborn, Germany","institution_ids":["https://openalex.org/I4210152224","https://openalex.org/I206945453"]},{"raw_affiliation_string":"Heinz Nixdorf Institute, Computer Science Department, University of Paderborn","institution_ids":["https://openalex.org/I206945453"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5007675663","display_name":"Peter Kling","orcid":"https://orcid.org/0000-0003-0000-8689"},"institutions":[{"id":"https://openalex.org/I4210152224","display_name":"Heinz Nixdorf Stiftung","ror":"https://ror.org/04j2tkk21","country_code":"DE","type":"nonprofit","lineage":["https://openalex.org/I4210152224"]},{"id":"https://openalex.org/I206945453","display_name":"Paderborn University","ror":"https://ror.org/058kzsd48","country_code":"DE","type":"education","lineage":["https://openalex.org/I206945453"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Peter Kling","raw_affiliation_strings":["Heinz Nixdorf Institute, Computer Science Department, University of Paderborn, Germany","Heinz Nixdorf Institute, Computer Science Department, University of Paderborn"],"affiliations":[{"raw_affiliation_string":"Heinz Nixdorf Institute, Computer Science Department, University of Paderborn, Germany","institution_ids":["https://openalex.org/I4210152224","https://openalex.org/I206945453"]},{"raw_affiliation_string":"Heinz Nixdorf Institute, Computer Science Department, University of Paderborn","institution_ids":["https://openalex.org/I206945453"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5062363369","display_name":"Sven Kurras","orcid":null},"institutions":[{"id":"https://openalex.org/I4210152224","display_name":"Heinz Nixdorf Stiftung","ror":"https://ror.org/04j2tkk21","country_code":"DE","type":"nonprofit","lineage":["https://openalex.org/I4210152224"]},{"id":"https://openalex.org/I206945453","display_name":"Paderborn University","ror":"https://ror.org/058kzsd48","country_code":"DE","type":"education","lineage":["https://openalex.org/I206945453"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Sven Kurras","raw_affiliation_strings":["Heinz Nixdorf Institute, Computer Science Department, University of Paderborn, Germany","Heinz Nixdorf Institute, Computer Science Department, University of Paderborn"],"affiliations":[{"raw_affiliation_string":"Heinz Nixdorf Institute, Computer Science Department, University of Paderborn, Germany","institution_ids":["https://openalex.org/I4210152224","https://openalex.org/I206945453"]},{"raw_affiliation_string":"Heinz Nixdorf Institute, Computer Science Department, University of Paderborn","institution_ids":["https://openalex.org/I206945453"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5048850147","display_name":"Marcus M\u00e4rtens","orcid":"https://orcid.org/0000-0003-1950-7111"},"institutions":[{"id":"https://openalex.org/I4210152224","display_name":"Heinz Nixdorf Stiftung","ror":"https://ror.org/04j2tkk21","country_code":"DE","type":"nonprofit","lineage":["https://openalex.org/I4210152224"]},{"id":"https://openalex.org/I206945453","display_name":"Paderborn University","ror":"https://ror.org/058kzsd48","country_code":"DE","type":"education","lineage":["https://openalex.org/I206945453"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Marcus M\u00e4rtens","raw_affiliation_strings":["Heinz Nixdorf Institute, Computer Science Department, University of Paderborn, Germany","Heinz Nixdorf Institute, Computer Science Department, University of Paderborn"],"affiliations":[{"raw_affiliation_string":"Heinz Nixdorf Institute, Computer Science Department, University of Paderborn, Germany","institution_ids":["https://openalex.org/I4210152224","https://openalex.org/I206945453"]},{"raw_affiliation_string":"Heinz Nixdorf Institute, Computer Science Department, University of Paderborn","institution_ids":["https://openalex.org/I206945453"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5109961260","display_name":"Friedhelm Meyer auf der Heide","orcid":null},"institutions":[{"id":"https://openalex.org/I206945453","display_name":"Paderborn University","ror":"https://ror.org/058kzsd48","country_code":"DE","type":"education","lineage":["https://openalex.org/I206945453"]},{"id":"https://openalex.org/I4210152224","display_name":"Heinz Nixdorf Stiftung","ror":"https://ror.org/04j2tkk21","country_code":"DE","type":"nonprofit","lineage":["https://openalex.org/I4210152224"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Friedhelm Meyer auf der Heide","raw_affiliation_strings":["Heinz Nixdorf Institute, Computer Science Department, University of Paderborn, Germany","Heinz Nixdorf Institute, Computer Science Department, University of Paderborn"],"affiliations":[{"raw_affiliation_string":"Heinz Nixdorf Institute, Computer Science Department, University of Paderborn, Germany","institution_ids":["https://openalex.org/I4210152224","https://openalex.org/I206945453"]},{"raw_affiliation_string":"Heinz Nixdorf Institute, Computer Science Department, University of Paderborn","institution_ids":["https://openalex.org/I206945453"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5064952973","display_name":"Christoph Raupach","orcid":null},"institutions":[{"id":"https://openalex.org/I4210152224","display_name":"Heinz Nixdorf Stiftung","ror":"https://ror.org/04j2tkk21","country_code":"DE","type":"nonprofit","lineage":["https://openalex.org/I4210152224"]},{"id":"https://openalex.org/I206945453","display_name":"Paderborn University","ror":"https://ror.org/058kzsd48","country_code":"DE","type":"education","lineage":["https://openalex.org/I206945453"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Christoph Raupach","raw_affiliation_strings":["Heinz Nixdorf Institute, Computer Science Department, University of Paderborn, Germany","Heinz Nixdorf Institute, Computer Science Department, University of Paderborn"],"affiliations":[{"raw_affiliation_string":"Heinz Nixdorf Institute, Computer Science Department, University of Paderborn, Germany","institution_ids":["https://openalex.org/I4210152224","https://openalex.org/I206945453"]},{"raw_affiliation_string":"Heinz Nixdorf Institute, Computer Science Department, University of Paderborn","institution_ids":["https://openalex.org/I206945453"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5052737993","display_name":"Kamil Swierkot","orcid":null},"institutions":[{"id":"https://openalex.org/I4210152224","display_name":"Heinz Nixdorf Stiftung","ror":"https://ror.org/04j2tkk21","country_code":"DE","type":"nonprofit","lineage":["https://openalex.org/I4210152224"]},{"id":"https://openalex.org/I206945453","display_name":"Paderborn University","ror":"https://ror.org/058kzsd48","country_code":"DE","type":"education","lineage":["https://openalex.org/I206945453"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Kamil Swierkot","raw_affiliation_strings":["Heinz Nixdorf Institute, Computer Science Department, University of Paderborn, Germany","Heinz Nixdorf Institute, Computer Science Department, University of Paderborn"],"affiliations":[{"raw_affiliation_string":"Heinz Nixdorf Institute, Computer Science Department, University of Paderborn, Germany","institution_ids":["https://openalex.org/I4210152224","https://openalex.org/I206945453"]},{"raw_affiliation_string":"Heinz Nixdorf Institute, Computer Science Department, University of Paderborn","institution_ids":["https://openalex.org/I206945453"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5010748834","display_name":"Daniel J. Warner","orcid":null},"institutions":[{"id":"https://openalex.org/I206945453","display_name":"Paderborn University","ror":"https://ror.org/058kzsd48","country_code":"DE","type":"education","lineage":["https://openalex.org/I206945453"]},{"id":"https://openalex.org/I4210152224","display_name":"Heinz Nixdorf Stiftung","ror":"https://ror.org/04j2tkk21","country_code":"DE","type":"nonprofit","lineage":["https://openalex.org/I4210152224"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Daniel Warner","raw_affiliation_strings":["Heinz Nixdorf Institute, Computer Science Department, University of Paderborn, Germany","Heinz Nixdorf Institute, Computer Science Department, University of Paderborn"],"affiliations":[{"raw_affiliation_string":"Heinz Nixdorf Institute, Computer Science Department, University of Paderborn, Germany","institution_ids":["https://openalex.org/I4210152224","https://openalex.org/I206945453"]},{"raw_affiliation_string":"Heinz Nixdorf Institute, Computer Science Department, University of Paderborn","institution_ids":["https://openalex.org/I206945453"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5072016413","display_name":"Christoph Weddemann","orcid":null},"institutions":[{"id":"https://openalex.org/I4210152224","display_name":"Heinz Nixdorf Stiftung","ror":"https://ror.org/04j2tkk21","country_code":"DE","type":"nonprofit","lineage":["https://openalex.org/I4210152224"]},{"id":"https://openalex.org/I206945453","display_name":"Paderborn University","ror":"https://ror.org/058kzsd48","country_code":"DE","type":"education","lineage":["https://openalex.org/I206945453"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Christoph Weddemann","raw_affiliation_strings":["Heinz Nixdorf Institute, Computer Science Department, University of Paderborn, Germany","Heinz Nixdorf Institute, Computer Science Department, University of Paderborn"],"affiliations":[{"raw_affiliation_string":"Heinz Nixdorf Institute, Computer Science Department, University of Paderborn, Germany","institution_ids":["https://openalex.org/I4210152224","https://openalex.org/I206945453"]},{"raw_affiliation_string":"Heinz Nixdorf Institute, Computer Science Department, University of Paderborn","institution_ids":["https://openalex.org/I206945453"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5043271085","display_name":"Daniel Wonisch","orcid":null},"institutions":[{"id":"https://openalex.org/I206945453","display_name":"Paderborn University","ror":"https://ror.org/058kzsd48","country_code":"DE","type":"education","lineage":["https://openalex.org/I206945453"]},{"id":"https://openalex.org/I4210152224","display_name":"Heinz Nixdorf Stiftung","ror":"https://ror.org/04j2tkk21","country_code":"DE","type":"nonprofit","lineage":["https://openalex.org/I4210152224"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Daniel Wonisch","raw_affiliation_strings":["Heinz Nixdorf Institute, Computer Science Department, University of Paderborn, Germany","Heinz Nixdorf Institute, Computer Science Department, University of Paderborn"],"affiliations":[{"raw_affiliation_string":"Heinz Nixdorf Institute, Computer Science Department, University of Paderborn, Germany","institution_ids":["https://openalex.org/I4210152224","https://openalex.org/I206945453"]},{"raw_affiliation_string":"Heinz Nixdorf Institute, Computer Science Department, University of Paderborn","institution_ids":["https://openalex.org/I206945453"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":15,"corresponding_author_ids":["https://openalex.org/A5036679726"],"corresponding_institution_ids":["https://openalex.org/I206945453","https://openalex.org/I4210152224"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":11.4147,"has_fulltext":false,"cited_by_count":42,"citation_normalized_percentile":{"value":0.98699255,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"178","last_page":"189"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12288","display_name":"Optimization and Search Problems","score":1.0,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T12288","display_name":"Optimization and Search Problems","score":1.0,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T12784","display_name":"Modular Robots and Swarm Intelligence","score":0.9908000230789185,"subfield":{"id":"https://openalex.org/subfields/2210","display_name":"Mechanical Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10586","display_name":"Robotic Path Planning Algorithms","score":0.9617999792098999,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/robot","display_name":"Robot","score":0.8069623708724976},{"id":"https://openalex.org/keywords/block","display_name":"Block (permutation group theory)","score":0.6185599565505981},{"id":"https://openalex.org/keywords/euclidean-geometry","display_name":"Euclidean geometry","score":0.585949182510376},{"id":"https://openalex.org/keywords/mobile-robot","display_name":"Mobile robot","score":0.5835686326026917},{"id":"https://openalex.org/keywords/plane","display_name":"Plane (geometry)","score":0.5364450216293335},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.5257701873779297},{"id":"https://openalex.org/keywords/center","display_name":"Center (category theory)","score":0.48702532052993774},{"id":"https://openalex.org/keywords/radius","display_name":"RADIUS","score":0.45767685770988464},{"id":"https://openalex.org/keywords/position","display_name":"Position (finance)","score":0.45484575629234314},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.45089414715766907},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4399973750114441},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3596039414405823},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.25945496559143066},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2162875235080719}],"concepts":[{"id":"https://openalex.org/C90509273","wikidata":"https://www.wikidata.org/wiki/Q11012","display_name":"Robot","level":2,"score":0.8069623708724976},{"id":"https://openalex.org/C2777210771","wikidata":"https://www.wikidata.org/wiki/Q4927124","display_name":"Block (permutation group theory)","level":2,"score":0.6185599565505981},{"id":"https://openalex.org/C129782007","wikidata":"https://www.wikidata.org/wiki/Q162886","display_name":"Euclidean geometry","level":2,"score":0.585949182510376},{"id":"https://openalex.org/C19966478","wikidata":"https://www.wikidata.org/wiki/Q4810574","display_name":"Mobile robot","level":3,"score":0.5835686326026917},{"id":"https://openalex.org/C17825722","wikidata":"https://www.wikidata.org/wiki/Q17285","display_name":"Plane (geometry)","level":2,"score":0.5364450216293335},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.5257701873779297},{"id":"https://openalex.org/C2779463800","wikidata":"https://www.wikidata.org/wiki/Q5062222","display_name":"Center (category theory)","level":2,"score":0.48702532052993774},{"id":"https://openalex.org/C178635117","wikidata":"https://www.wikidata.org/wiki/Q747499","display_name":"RADIUS","level":2,"score":0.45767685770988464},{"id":"https://openalex.org/C198082294","wikidata":"https://www.wikidata.org/wiki/Q3399648","display_name":"Position (finance)","level":2,"score":0.45484575629234314},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.45089414715766907},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4399973750114441},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3596039414405823},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.25945496559143066},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2162875235080719},{"id":"https://openalex.org/C8010536","wikidata":"https://www.wikidata.org/wiki/Q160398","display_name":"Crystallography","level":1,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","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},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-642-18381-2_15","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-18381-2_15","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":24,"referenced_works":["https://openalex.org/W316034286","https://openalex.org/W1515418527","https://openalex.org/W1531196731","https://openalex.org/W1555199033","https://openalex.org/W1567376369","https://openalex.org/W1569673105","https://openalex.org/W1588762506","https://openalex.org/W1832373781","https://openalex.org/W1878407411","https://openalex.org/W1950782218","https://openalex.org/W1968094522","https://openalex.org/W1970322539","https://openalex.org/W1988889787","https://openalex.org/W2002501738","https://openalex.org/W2024735613","https://openalex.org/W2040689398","https://openalex.org/W2041571902","https://openalex.org/W2097569568","https://openalex.org/W2119517221","https://openalex.org/W2144182788","https://openalex.org/W2507101588","https://openalex.org/W2569364308","https://openalex.org/W4252586874","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W4254193423","https://openalex.org/W4220683287","https://openalex.org/W2361792188","https://openalex.org/W1941846586","https://openalex.org/W2389801762","https://openalex.org/W2018172311","https://openalex.org/W2949958925","https://openalex.org/W2350404877","https://openalex.org/W4297042251","https://openalex.org/W2108626633"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":7},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":9}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
