{"id":"https://openalex.org/W7160643049","doi":"https://doi.org/10.1016/j.tcs.2026.116013","title":"Deterministic color-optimal self-stabilizing semi-synchronous gathering: Two certified algorithms","display_name":"Deterministic color-optimal self-stabilizing semi-synchronous gathering: Two certified algorithms","publication_year":2026,"publication_date":"2026-05-08","ids":{"openalex":"https://openalex.org/W7160643049","doi":"https://doi.org/10.1016/j.tcs.2026.116013"},"language":"en","primary_location":{"id":"doi:10.1016/j.tcs.2026.116013","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.tcs.2026.116013","pdf_url":null,"source":{"id":"https://openalex.org/S90727058","display_name":"Theoretical Computer Science","issn_l":"0304-3975","issn":["0304-3975","1879-2294"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Theoretical Computer Science","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://doi.org/10.1016/j.tcs.2026.116013","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5135661887","display_name":"Fran\u00e7ois Bonnet","orcid":"https://orcid.org/0000-0001-6625-0035"},"institutions":[{"id":"https://openalex.org/I4400009020","display_name":"Institute of Science Tokyo","ror":"https://ror.org/05dqf9946","country_code":null,"type":"education","lineage":["https://openalex.org/I4400009020"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Fran\u00e7ois Bonnet","raw_affiliation_strings":["Institute of Science Tokyo, Japan"],"raw_orcid":"https://orcid.org/0000-0001-6625-0035","affiliations":[{"raw_affiliation_string":"Institute of Science Tokyo, Japan","institution_ids":["https://openalex.org/I4400009020"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5135728281","display_name":"Quentin Bramas","orcid":"https://orcid.org/0000-0003-0612-5616"},"institutions":[{"id":"https://openalex.org/I4210100283","display_name":"Laboratoire des Sciences de l'Ing\u00e9nieur, de l'Informatique et de l'Imagerie","ror":"https://ror.org/00k4e5n71","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I2801509770","https://openalex.org/I4210095849","https://openalex.org/I4210100283","https://openalex.org/I4210159245","https://openalex.org/I68947357"]},{"id":"https://openalex.org/I68947357","display_name":"Universit\u00e9 de Strasbourg","ror":"https://ror.org/00pg6eq24","country_code":"FR","type":"education","lineage":["https://openalex.org/I68947357"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Quentin Bramas","raw_affiliation_strings":["University of Strasbourg, ICUBE, France"],"raw_orcid":"https://orcid.org/0000-0003-0612-5616","affiliations":[{"raw_affiliation_string":"University of Strasbourg, ICUBE, France","institution_ids":["https://openalex.org/I68947357","https://openalex.org/I4210100283"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5058685624","display_name":"Pierre Courtieu","orcid":null},"institutions":[{"id":"https://openalex.org/I124158823","display_name":"Conservatoire National des Arts et M\u00e9tiers","ror":"https://ror.org/0175hh227","country_code":"FR","type":"education","lineage":["https://openalex.org/I124158823","https://openalex.org/I4210134562"]},{"id":"https://openalex.org/I4210145724","display_name":"Centre d'Etudes et De Recherche en Informatique et Communications","ror":"https://ror.org/044j5mm75","country_code":"FR","type":"facility","lineage":["https://openalex.org/I4210145724"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Pierre Courtieu","raw_affiliation_strings":["CNAM, C\u00e9dric, France"],"raw_orcid":"https://orcid.org/0000-0001-8789-9781","affiliations":[{"raw_affiliation_string":"CNAM, C\u00e9dric, France","institution_ids":["https://openalex.org/I4210145724","https://openalex.org/I124158823"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5135671266","display_name":"Xavier D\u00e9fago","orcid":null},"institutions":[{"id":"https://openalex.org/I4400009020","display_name":"Institute of Science Tokyo","ror":"https://ror.org/05dqf9946","country_code":null,"type":"education","lineage":["https://openalex.org/I4400009020"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Xavier D\u00e9fago","raw_affiliation_strings":["Institute of Science Tokyo, Japan"],"raw_orcid":"https://orcid.org/0000-0002-2377-205X","affiliations":[{"raw_affiliation_string":"Institute of Science Tokyo, Japan","institution_ids":["https://openalex.org/I4400009020"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5135710728","display_name":"Lionel Rieg","orcid":"https://orcid.org/0009-0001-5751-3806"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4210156361","display_name":"Verimag","ror":"https://ror.org/05afmzm11","country_code":"FR","type":"facility","lineage":["https://openalex.org/I106785703","https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I4210156361","https://openalex.org/I4210159245","https://openalex.org/I899635006"]},{"id":"https://openalex.org/I899635006","display_name":"Universit\u00e9 Grenoble Alpes","ror":"https://ror.org/02rx3b187","country_code":"FR","type":"education","lineage":["https://openalex.org/I899635006"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Lionel Rieg","raw_affiliation_strings":["Grenoble INP - UGA, CNRS (UMR 5104), Verimag, France"],"raw_orcid":"https://orcid.org/0009-0001-5751-3806","affiliations":[{"raw_affiliation_string":"Grenoble INP - UGA, CNRS (UMR 5104), Verimag, France","institution_ids":["https://openalex.org/I4210156361","https://openalex.org/I1294671590","https://openalex.org/I899635006"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5135658590","display_name":"S\u00e9bastien Tixeuil","orcid":"https://orcid.org/0000-0002-0948-7172"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I185839726","display_name":"Institut Universitaire de France","ror":"https://ror.org/055khg266","country_code":"FR","type":"education","lineage":["https://openalex.org/I185839726"]},{"id":"https://openalex.org/I39804081","display_name":"Sorbonne Universit\u00e9","ror":"https://ror.org/02en5vm52","country_code":"FR","type":"education","lineage":["https://openalex.org/I39804081"]},{"id":"https://openalex.org/I4210159731","display_name":"LIP6","ror":"https://ror.org/05krcen59","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I39804081","https://openalex.org/I4210159245","https://openalex.org/I4210159731"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"S\u00e9bastien Tixeuil","raw_affiliation_strings":["Institut Universitaire de France, France","Sorbonne University, CNRS, LIP6, France"],"raw_orcid":"https://orcid.org/0000-0002-0948-7172","affiliations":[{"raw_affiliation_string":"Institut Universitaire de France, France","institution_ids":["https://openalex.org/I185839726"]},{"raw_affiliation_string":"Sorbonne University, CNRS, LIP6, France","institution_ids":["https://openalex.org/I4210159731","https://openalex.org/I1294671590","https://openalex.org/I39804081"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5135699639","display_name":"Xavier Urbain","orcid":"https://orcid.org/0000-0001-7442-2538"},"institutions":[{"id":"https://openalex.org/I100532134","display_name":"Universit\u00e9 Claude Bernard Lyon 1","ror":"https://ror.org/029brtt94","country_code":"FR","type":"education","lineage":["https://openalex.org/I100532134","https://openalex.org/I203339264"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4210155607","display_name":"Laboratoire d'Informatique en Images et Syst\u00e8mes d'Information","ror":"https://ror.org/04dv4he91","country_code":"FR","type":"facility","lineage":["https://openalex.org/I100532134","https://openalex.org/I112936343","https://openalex.org/I1294671590","https://openalex.org/I188626449","https://openalex.org/I203339264","https://openalex.org/I203339264","https://openalex.org/I203339264","https://openalex.org/I203339264","https://openalex.org/I4210155607","https://openalex.org/I48430043"]},{"id":"https://openalex.org/I4210159731","display_name":"LIP6","ror":"https://ror.org/05krcen59","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I39804081","https://openalex.org/I4210159245","https://openalex.org/I4210159731"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Xavier Urbain","raw_affiliation_strings":["CNRS, LIP6 UMR7606, France","Universite Claude Bernard Lyon 1, CNRS, LIRIS UMR5205, France"],"raw_orcid":"https://orcid.org/0000-0001-7442-2538","affiliations":[{"raw_affiliation_string":"CNRS, LIP6 UMR7606, France","institution_ids":["https://openalex.org/I4210159731","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"Universite Claude Bernard Lyon 1, CNRS, LIRIS UMR5205, France","institution_ids":["https://openalex.org/I100532134","https://openalex.org/I1294671590","https://openalex.org/I4210155607"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":7,"corresponding_author_ids":["https://openalex.org/A5058685624","https://openalex.org/A5135658590","https://openalex.org/A5135661887","https://openalex.org/A5135671266","https://openalex.org/A5135699639","https://openalex.org/A5135710728","https://openalex.org/A5135728281"],"corresponding_institution_ids":["https://openalex.org/I100532134","https://openalex.org/I124158823","https://openalex.org/I1294671590","https://openalex.org/I185839726","https://openalex.org/I39804081","https://openalex.org/I4210100283","https://openalex.org/I4210145724","https://openalex.org/I4210155607","https://openalex.org/I4210156361","https://openalex.org/I4210159731","https://openalex.org/I4400009020","https://openalex.org/I68947357","https://openalex.org/I899635006"],"apc_list":{"value":2690,"currency":"USD","value_usd":2690},"apc_paid":{"value":2690,"currency":"USD","value_usd":2690},"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.68543334,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"1078","issue":null,"first_page":"116013","last_page":"116013"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12288","display_name":"Optimization and Search Problems","score":0.3723999857902527,"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":0.3723999857902527,"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/T10249","display_name":"Distributed Control Multi-Agent Systems","score":0.3650999963283539,"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/T10772","display_name":"Distributed systems and fault tolerance","score":0.08330000191926956,"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/certification","display_name":"Certification","score":0.259799987077713},{"id":"https://openalex.org/keywords/efficient-algorithm","display_name":"Efficient algorithm","score":0.24969999492168427},{"id":"https://openalex.org/keywords/time-complexity","display_name":"Time complexity","score":0.23690000176429749}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6021999716758728},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.529699981212616},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3447999954223633},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.33980000019073486},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.2662999927997589},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.2603999972343445},{"id":"https://openalex.org/C46304622","wikidata":"https://www.wikidata.org/wiki/Q374814","display_name":"Certification","level":2,"score":0.259799987077713},{"id":"https://openalex.org/C3018263672","wikidata":"https://www.wikidata.org/wiki/Q1296251","display_name":"Efficient algorithm","level":2,"score":0.24969999492168427},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.23690000176429749},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.2353000044822693}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1016/j.tcs.2026.116013","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.tcs.2026.116013","pdf_url":null,"source":{"id":"https://openalex.org/S90727058","display_name":"Theoretical Computer Science","issn_l":"0304-3975","issn":["0304-3975","1879-2294"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Theoretical Computer Science","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-05627194v1","is_oa":false,"landing_page_url":"https://hal.science/hal-05627194","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Theoretical Computer Science, 2026, 1078, pp.116013. ⟨10.1016/j.tcs.2026.116013⟩","raw_type":"Journal articles"}],"best_oa_location":{"id":"doi:10.1016/j.tcs.2026.116013","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.tcs.2026.116013","pdf_url":null,"source":{"id":"https://openalex.org/S90727058","display_name":"Theoretical Computer Science","issn_l":"0304-3975","issn":["0304-3975","1879-2294"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Theoretical Computer Science","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W1802748673","https://openalex.org/W2052126600","https://openalex.org/W2082183470","https://openalex.org/W2087073465","https://openalex.org/W2111132249","https://openalex.org/W2119517221","https://openalex.org/W2338820189","https://openalex.org/W2548603685","https://openalex.org/W2625145304","https://openalex.org/W2965788437","https://openalex.org/W3182674124","https://openalex.org/W4309624616","https://openalex.org/W4321019928"],"related_works":[],"abstract_inverted_index":{"We":[0,69],"consider":[1],"the":[2,11,39,56,95,115,129,134],"problem":[3,49],"of":[4,19,84,111,123],"gathering":[5,73],"in":[6,94],"finite":[7],"time":[8],"and":[9,79,104],"at":[10],"same":[12],"location,":[13],"not":[14],"known":[15,51],"beforehand,":[16],"a":[17,36,81],"set":[18,93],"deterministic":[20,72],"semi-synchronous":[21],"robots,":[22],"starting":[23],"from":[24],"an":[25],"arbitrary":[26],"initial":[27,96],"configuration":[28,37],"that":[29,60],"may":[30,77,88],"even":[31],"be":[32,53,89],"bivalent":[33],"(that":[34],"is,":[35,61],"where":[38,75],"robots":[40,57,76],"are":[41,58,100],"evenly":[42],"split":[43],"on":[44],"two":[45,71],"different":[46],"locations).":[47],"This":[48,86],"is":[50,125],"to":[52],"unsolvable":[54],"when":[55,62],"oblivious,":[59],"they":[63],"cannot":[64],"remember":[65,78],"their":[66],"past":[67],"actions.":[68],"present":[70],"algorithms":[74],"communicate":[80],"single":[82],"bit":[83,87],"memory.":[85],"arbitrarily":[90],"(and":[91],"adversarially)":[92],"configuration.":[97],"Our":[98],"solutions":[99],"thus":[101],"memory":[102],"optimal":[103],"self-stabilizing.":[105],"The":[106],"first":[107],"algorithm":[108],"makes":[109],"use":[110],"multiplicity":[112],"detection,":[113],"while":[114],"second":[116],"solely":[117],"uses":[118],"robot":[119],"colors.":[120],"Their":[121],"proof":[122,131],"correctness":[124],"formally":[126],"certified":[127],"by":[128],"Coq":[130],"assistant":[132],"using":[133],"Pactole":[135],"framework.":[136]},"counts_by_year":[],"updated_date":"2026-06-15T08:34:33.830935","created_date":"2026-05-09T00:00:00"}