{"id":"https://openalex.org/W2036327440","doi":"https://doi.org/10.1109/acc.2012.6315460","title":"Growing optimally rigid formations","display_name":"Growing optimally rigid formations","publication_year":2012,"publication_date":"2012-06-01","ids":{"openalex":"https://openalex.org/W2036327440","doi":"https://doi.org/10.1109/acc.2012.6315460","mag":"2036327440"},"language":"en","primary_location":{"id":"doi:10.1109/acc.2012.6315460","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2012.6315460","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2012 American Control Conference (ACC)","raw_type":"proceedings-article"},"type":"article","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/A5047488984","display_name":"Daniel Zelazo","orcid":"https://orcid.org/0000-0002-2931-245X"},"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":"D. Zelazo","raw_affiliation_strings":["Institute for Systems Theory and Automatic Control at the University of Stuttgart, Stuttgart, Germany","Institute for Systems Theory and Automatic Control at the University of Stuttgart, Pfaffenwaldring 9, 70569 Stuttgart, Germany"],"affiliations":[{"raw_affiliation_string":"Institute for Systems Theory and Automatic Control at the University of Stuttgart, Stuttgart, Germany","institution_ids":["https://openalex.org/I100066346"]},{"raw_affiliation_string":"Institute for Systems Theory and Automatic Control at the University of Stuttgart, Pfaffenwaldring 9, 70569 Stuttgart, Germany","institution_ids":["https://openalex.org/I100066346"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5001090900","display_name":"Frank Allg\u00f6wer","orcid":"https://orcid.org/0000-0002-3702-3658"},"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":false,"raw_author_name":"F. Allgower","raw_affiliation_strings":["Institute for Systems Theory and Automatic Control at the University of Stuttgart, Stuttgart, Germany","Institute for Systems Theory and Automatic Control at the University of Stuttgart, Pfaffenwaldring 9, 70569 Stuttgart, Germany"],"affiliations":[{"raw_affiliation_string":"Institute for Systems Theory and Automatic Control at the University of Stuttgart, Stuttgart, Germany","institution_ids":["https://openalex.org/I100066346"]},{"raw_affiliation_string":"Institute for Systems Theory and Automatic Control at the University of Stuttgart, Pfaffenwaldring 9, 70569 Stuttgart, Germany","institution_ids":["https://openalex.org/I100066346"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5047488984"],"corresponding_institution_ids":["https://openalex.org/I100066346"],"apc_list":null,"apc_paid":null,"fwci":5.3189,"has_fulltext":false,"cited_by_count":19,"citation_normalized_percentile":{"value":0.95860148,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"3901","last_page":"3906"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10249","display_name":"Distributed Control Multi-Agent Systems","score":0.9997000098228455,"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/T10249","display_name":"Distributed Control Multi-Agent Systems","score":0.9997000098228455,"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":0.9947999715805054,"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/T10080","display_name":"Energy Efficient Wireless Sensor Networks","score":0.9934999942779541,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.5524043440818787},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.517758309841156},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.49018388986587524},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4526921212673187},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.36326539516448975},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2979941964149475},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.28433123230934143}],"concepts":[{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.5524043440818787},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.517758309841156},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.49018388986587524},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4526921212673187},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.36326539516448975},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2979941964149475},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.28433123230934143}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/acc.2012.6315460","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2012.6315460","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2012 American Control Conference (ACC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W100354579","https://openalex.org/W179069837","https://openalex.org/W581677283","https://openalex.org/W613360614","https://openalex.org/W1483882723","https://openalex.org/W1938116388","https://openalex.org/W2003885039","https://openalex.org/W2043694964","https://openalex.org/W2053788000","https://openalex.org/W2067461601","https://openalex.org/W2070842753","https://openalex.org/W2077371116","https://openalex.org/W2097543956","https://openalex.org/W2108261524","https://openalex.org/W2130403046","https://openalex.org/W2130532917","https://openalex.org/W2130647945","https://openalex.org/W2133754447","https://openalex.org/W2139834426","https://openalex.org/W2152060796","https://openalex.org/W2163705292","https://openalex.org/W2171867977","https://openalex.org/W2483722916","https://openalex.org/W2998757566","https://openalex.org/W3022149692","https://openalex.org/W4232814014","https://openalex.org/W6604081787","https://openalex.org/W6607301457"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2748952813","https://openalex.org/W2051487156","https://openalex.org/W2073681303","https://openalex.org/W2390279801","https://openalex.org/W2358668433","https://openalex.org/W4396701345","https://openalex.org/W2376932109","https://openalex.org/W2001405890","https://openalex.org/W3111310291"],"abstract_inverted_index":{"This":[0],"work":[1],"extends":[2],"the":[3,16,28,39,59,67,78],"theory":[4],"on":[5],"rigid":[6,51,64,108],"frameworks":[7],"for":[8,23,62,100],"formation":[9],"keeping":[10],"in":[11,66],"multi-agent":[12],"systems.":[13],"We":[14,53],"introduce":[15],"H":[17,41,79,103],"<sub":[18,42,80,104],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[19,43,81,105],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">2</sub>":[20,44,82,106],"performance":[21,71],"measure":[22],"relative":[24,109],"sensing":[25,30,45,74,110],"networks":[26],"where":[27],"underlying":[29],"graph":[31,46],"is":[32],"rigid.":[33],"The":[34],"first":[35],"contribution":[36],"shows":[37],"that":[38],"optimal":[40,83],"must":[47],"be":[48],"a":[49,56,97],"minimally":[50],"graph.":[52],"then":[54,93],"describe":[55],"variation":[57],"of":[58],"Herrenberg":[60],"construction":[61],"generating":[63,101],"graphs":[65],"plane":[68],"by":[69],"adding":[70],"requirements":[72],"and":[73,86],"constraints,":[75],"leading":[76],"to":[77,95],"vertex":[84],"addition":[85],"edge":[87],"splitting":[88],"procedures.":[89],"These":[90],"results":[91],"are":[92],"used":[94],"derive":[96],"centralized":[98],"algorithm":[99],"an":[102],"optimally":[107],"network.":[111]},"counts_by_year":[{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":2},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":7},{"year":2013,"cited_by_count":5}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
