{"id":"https://openalex.org/W2748107296","doi":"https://doi.org/10.1007/s00446-017-0309-z","title":"Terminating distributed construction of shapes and patterns in a fair solution of automata","display_name":"Terminating distributed construction of shapes and patterns in a fair solution of automata","publication_year":2017,"publication_date":"2017-08-23","ids":{"openalex":"https://openalex.org/W2748107296","doi":"https://doi.org/10.1007/s00446-017-0309-z","mag":"2748107296"},"language":"en","primary_location":{"id":"doi:10.1007/s00446-017-0309-z","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00446-017-0309-z","pdf_url":"https://link.springer.com/content/pdf/10.1007%2Fs00446-017-0309-z.pdf","source":{"id":"https://openalex.org/S139349430","display_name":"Distributed Computing","issn_l":"0178-2770","issn":["0178-2770","1432-0452"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Distributed Computing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007%2Fs00446-017-0309-z.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5002991731","display_name":"Othon Michail","orcid":"https://orcid.org/0000-0002-6234-3960"},"institutions":[{"id":"https://openalex.org/I146655781","display_name":"University of Liverpool","ror":"https://ror.org/04xs57h96","country_code":"GB","type":"education","lineage":["https://openalex.org/I146655781"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Othon Michail","raw_affiliation_strings":["Department of Computer Science, University of Liverpool, Ashton Street, Liverpool, L69 3BX, UK"],"raw_orcid":"https://orcid.org/0000-0002-6234-3960","affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Liverpool, Ashton Street, Liverpool, L69 3BX, UK","institution_ids":["https://openalex.org/I146655781"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5002991731"],"corresponding_institution_ids":["https://openalex.org/I146655781"],"apc_list":{"value":3090,"currency":"USD","value_usd":3090},"apc_paid":{"value":3090,"currency":"USD","value_usd":3090},"fwci":0.5077,"has_fulltext":true,"cited_by_count":10,"citation_normalized_percentile":{"value":0.63852689,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"31","issue":"5","first_page":"343","last_page":"365"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12784","display_name":"Modular Robots and Swarm Intelligence","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T12784","display_name":"Modular Robots and Swarm Intelligence","score":0.9998999834060669,"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/T12288","display_name":"Optimization and Search Problems","score":0.9983000159263611,"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/T12029","display_name":"DNA and Biological Computing","score":0.9976999759674072,"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/computer-science","display_name":"Computer science","score":0.7442787885665894},{"id":"https://openalex.org/keywords/node","display_name":"Node (physics)","score":0.5617309212684631},{"id":"https://openalex.org/keywords/distributed-computing","display_name":"Distributed computing","score":0.5616376996040344},{"id":"https://openalex.org/keywords/normalization-property","display_name":"Normalization property","score":0.5277016162872314},{"id":"https://openalex.org/keywords/modular-design","display_name":"Modular design","score":0.4907130002975464},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.4768318235874176},{"id":"https://openalex.org/keywords/constructive","display_name":"Constructive","score":0.4530413746833801},{"id":"https://openalex.org/keywords/subroutine","display_name":"Subroutine","score":0.43053919076919556},{"id":"https://openalex.org/keywords/cellular-automaton","display_name":"Cellular automaton","score":0.4268481135368347},{"id":"https://openalex.org/keywords/automaton","display_name":"Automaton","score":0.4105425477027893},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.32524213194847107},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2620377540588379},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2271636426448822},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.09998396039009094}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7442787885665894},{"id":"https://openalex.org/C62611344","wikidata":"https://www.wikidata.org/wiki/Q1062658","display_name":"Node (physics)","level":2,"score":0.5617309212684631},{"id":"https://openalex.org/C120314980","wikidata":"https://www.wikidata.org/wiki/Q180634","display_name":"Distributed computing","level":1,"score":0.5616376996040344},{"id":"https://openalex.org/C159333733","wikidata":"https://www.wikidata.org/wiki/Q7051809","display_name":"Normalization property","level":2,"score":0.5277016162872314},{"id":"https://openalex.org/C101468663","wikidata":"https://www.wikidata.org/wiki/Q1620158","display_name":"Modular design","level":2,"score":0.4907130002975464},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.4768318235874176},{"id":"https://openalex.org/C2778701210","wikidata":"https://www.wikidata.org/wiki/Q28130034","display_name":"Constructive","level":3,"score":0.4530413746833801},{"id":"https://openalex.org/C96147967","wikidata":"https://www.wikidata.org/wiki/Q190686","display_name":"Subroutine","level":2,"score":0.43053919076919556},{"id":"https://openalex.org/C35527583","wikidata":"https://www.wikidata.org/wiki/Q189156","display_name":"Cellular automaton","level":2,"score":0.4268481135368347},{"id":"https://openalex.org/C112505250","wikidata":"https://www.wikidata.org/wiki/Q787116","display_name":"Automaton","level":2,"score":0.4105425477027893},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.32524213194847107},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2620377540588379},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2271636426448822},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.09998396039009094},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.0},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00446-017-0309-z","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00446-017-0309-z","pdf_url":"https://link.springer.com/content/pdf/10.1007%2Fs00446-017-0309-z.pdf","source":{"id":"https://openalex.org/S139349430","display_name":"Distributed Computing","issn_l":"0178-2770","issn":["0178-2770","1432-0452"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Distributed Computing","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1007/s00446-017-0309-z","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00446-017-0309-z","pdf_url":"https://link.springer.com/content/pdf/10.1007%2Fs00446-017-0309-z.pdf","source":{"id":"https://openalex.org/S139349430","display_name":"Distributed Computing","issn_l":"0178-2770","issn":["0178-2770","1432-0452"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Distributed Computing","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320320300","display_name":"European Commission","ror":"https://ror.org/00k4n6c32"},{"id":"https://openalex.org/F4320320323","display_name":"University of Liverpool","ror":"https://ror.org/04xs57h96"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2748107296.pdf","grobid_xml":"https://content.openalex.org/works/W2748107296.grobid-xml"},"referenced_works_count":53,"referenced_works":["https://openalex.org/W593891028","https://openalex.org/W1501097462","https://openalex.org/W1503647233","https://openalex.org/W1526359699","https://openalex.org/W1676436804","https://openalex.org/W1817560729","https://openalex.org/W1968191405","https://openalex.org/W1974930680","https://openalex.org/W1975760509","https://openalex.org/W1977312644","https://openalex.org/W1983241546","https://openalex.org/W1983403768","https://openalex.org/W1991095994","https://openalex.org/W1999156420","https://openalex.org/W2000567812","https://openalex.org/W2006072889","https://openalex.org/W2008591003","https://openalex.org/W2027032283","https://openalex.org/W2030775133","https://openalex.org/W2042677290","https://openalex.org/W2044484214","https://openalex.org/W2044709436","https://openalex.org/W2048610995","https://openalex.org/W2063465004","https://openalex.org/W2064761790","https://openalex.org/W2078130991","https://openalex.org/W2084011432","https://openalex.org/W2105431882","https://openalex.org/W2122466171","https://openalex.org/W2123429492","https://openalex.org/W2157203763","https://openalex.org/W2189116479","https://openalex.org/W2228543233","https://openalex.org/W2294959121","https://openalex.org/W2474103057","https://openalex.org/W2489161073","https://openalex.org/W2562659721","https://openalex.org/W2605357398","https://openalex.org/W2611515161","https://openalex.org/W2706788079","https://openalex.org/W2751862591","https://openalex.org/W2951788333","https://openalex.org/W2952021439","https://openalex.org/W2962683004","https://openalex.org/W2963486750","https://openalex.org/W3106753174","https://openalex.org/W3182674124","https://openalex.org/W4212850904","https://openalex.org/W4242886849","https://openalex.org/W4251986490","https://openalex.org/W4301441647","https://openalex.org/W6630531908","https://openalex.org/W6814088746"],"related_works":["https://openalex.org/W1485627940","https://openalex.org/W2141340743","https://openalex.org/W795903369","https://openalex.org/W1986687552","https://openalex.org/W1655879455","https://openalex.org/W2072905640","https://openalex.org/W581193529","https://openalex.org/W2223521144","https://openalex.org/W84336305","https://openalex.org/W1601446253"],"abstract_inverted_index":{"In":[0],"this":[1,271],"work,":[2],"we":[3,87],"consider":[4],"a":[5,16,91,123,215,255,274],"solution":[6,18],"of":[7,22,42,70,75,95,127,143,152,191,195,199,204,250,262,306],"automata":[8],"(or":[9,100],"nodes":[10,48,66,109,120,291],")":[11,102],"that":[12,86,107,203,208,224,238,285],"move":[13],"passively":[14],"in":[15,31,39,57,218,276],"well-mixed":[17,212],"without":[19],"being":[20],"capable":[21,151],"controlling":[23],"their":[24,43],"movement.":[25],"Nodes":[26],"can":[27,67,116,239],"cooperate":[28],"by":[29],"interacting":[30],"pairs":[32],"and":[33,138,176,188,213],"every":[34],"such":[35],"interaction":[36],"may":[37,49],"result":[38],"an":[40],"update":[41],"local":[44,128],"states.":[45],"Additionally,":[46],"the":[47,105,108,149,186,196,206,209,259,263,290,307],"also":[50],"choose":[51],"to":[52,54,59,112,118,141,220,234,243,278,292],"connect":[53,117],"each":[55],"other":[56,119],"order":[58,219,277],"start":[60],"forming":[61,153],"some":[62,164],"required":[63],"structure.":[64],"Such":[65],"be":[68,240],"thought":[69],"as":[71,273],"small":[72],"programmable":[73,82],"pieces":[74],"matter":[76],",":[77,146,172,175,283],"like":[78,169],"tiny":[79],"nanorobots":[80],"or":[81,155],"molecules.":[83],"The":[84],"model":[85,150],"introduce":[88],"here":[89],"is":[90,202,211,254,287],"more":[92],"applied":[93],"version":[94],"network":[96],"constructors,":[97],"imposing":[98],"physical":[99],"geometric":[101],"constraints":[103],"on":[104],"connections":[106,142],"are":[110,132,139,225],"allowed":[111],"form.":[113],"Each":[114],"node":[115],"only":[121],"via":[122],"very":[124],"limited":[125],"number":[126],"ports":[129,145],".":[130,158,178,230,248,309],"Connections":[131],"always":[133],"made":[134],"at":[135],"unit":[136],"distance":[137],"perpendicular":[140],"neighboring":[144],"which":[147],"makes":[148],"2D":[154],"3D":[156],"shapes":[157,301],"We":[159,179,268],"provide":[160],"direct":[161],"constructors":[162,282],"for":[163,184,289],"basic":[165],"shape":[166],"construction":[167,308],"problems,":[168],"spanning":[170,173],"line":[171],"square":[174],"self-replication":[177],"then":[180,269],"develop":[181,235,279],"new":[182],"techniques":[183],"determining":[185],"computational":[187],"constructive":[189],"capabilities":[190],"our":[192,200,251,280],"model.":[193],"One":[194,249],"main":[197,252],"novelties":[198],"approach":[201],"exploiting":[205],"assumptions":[207],"system":[210,264],"has":[214],"unique":[216],"leader,":[217],"give":[221],"terminating":[222,236,256],"protocols":[223,247],"correct":[226],"with":[227,265,295],"high":[228,266,296],"probability":[229,297],"This":[231],"allows":[232],"us":[233],"subroutines":[237],"sequentially":[241],"composed":[242],"form":[244],"larger":[245],"modular":[246],"results":[253],"protocol":[257,272],"counting":[258],"size":[260],"n":[261],"probability.":[267],"use":[270],"subroutine":[275],"universal":[281],"establishing":[284],"it":[286],"possible":[288],"become":[293],"self-organized":[294],"into":[298],"arbitrarily":[299],"complex":[300],"while":[302],"still":[303],"detecting":[304],"termination":[305]},"counts_by_year":[{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":3},{"year":2019,"cited_by_count":2},{"year":2017,"cited_by_count":1}],"updated_date":"2026-07-31T08:31:51.225901","created_date":"2025-10-10T00:00:00"}