{"id":"https://openalex.org/W2171305488","doi":"https://doi.org/10.1145/1529282.1529453","title":"Two lower bounds for self-assemblies at temperature 1","display_name":"Two lower bounds for self-assemblies at temperature 1","publication_year":2009,"publication_date":"2009-03-08","ids":{"openalex":"https://openalex.org/W2171305488","doi":"https://doi.org/10.1145/1529282.1529453","mag":"2171305488"},"language":"en","primary_location":{"id":"doi:10.1145/1529282.1529453","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1529282.1529453","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2009 ACM symposium on Applied Computing","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/A5002286397","display_name":"J\u00e1n Ma\u0148uch","orcid":"https://orcid.org/0000-0002-6937-249X"},"institutions":[{"id":"https://openalex.org/I18014758","display_name":"Simon Fraser University","ror":"https://ror.org/0213rcc28","country_code":"CA","type":"education","lineage":["https://openalex.org/I18014758"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"J\u00e1n Ma\u0148uch","raw_affiliation_strings":["Simon Fraser University, Burnaby, BC, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Simon Fraser University, Burnaby, BC, Canada","institution_ids":["https://openalex.org/I18014758"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5085438222","display_name":"Ladislav Stacho","orcid":null},"institutions":[{"id":"https://openalex.org/I18014758","display_name":"Simon Fraser University","ror":"https://ror.org/0213rcc28","country_code":"CA","type":"education","lineage":["https://openalex.org/I18014758"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Ladislav Stacho","raw_affiliation_strings":["Simon Fraser University, Burnaby, BC, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Simon Fraser University, Burnaby, BC, Canada","institution_ids":["https://openalex.org/I18014758"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5045726151","display_name":"Christine Stoll","orcid":null},"institutions":[{"id":"https://openalex.org/I18014758","display_name":"Simon Fraser University","ror":"https://ror.org/0213rcc28","country_code":"CA","type":"education","lineage":["https://openalex.org/I18014758"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Christine Stoll","raw_affiliation_strings":["Simon Fraser University, Burnaby, BC, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Simon Fraser University, Burnaby, BC, Canada","institution_ids":["https://openalex.org/I18014758"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.4108,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.65039588,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":null,"issue":null,"first_page":"808","last_page":"809"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10207","display_name":"Advanced biosensing and bioanalysis techniques","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T10207","display_name":"Advanced biosensing and bioanalysis techniques","score":0.9998999834060669,"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"}},{"id":"https://openalex.org/T12029","display_name":"DNA and Biological Computing","score":0.9994999766349792,"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"}},{"id":"https://openalex.org/T12784","display_name":"Modular Robots and Swarm Intelligence","score":0.9987999796867371,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/tile","display_name":"Tile","score":0.9674928188323975},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.6141626238822937},{"id":"https://openalex.org/keywords/process","display_name":"Process (computing)","score":0.5809776186943054},{"id":"https://openalex.org/keywords/square","display_name":"Square (algebra)","score":0.5718048810958862},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.49246200919151306},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.44529420137405396},{"id":"https://openalex.org/keywords/self-assembly","display_name":"Self-assembly","score":0.4349464178085327},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.42077067494392395},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.40132641792297363},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.2776762843132019},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2425273358821869},{"id":"https://openalex.org/keywords/nanotechnology","display_name":"Nanotechnology","score":0.2304125726222992},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.202935129404068},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.19521278142929077},{"id":"https://openalex.org/keywords/composite-material","display_name":"Composite material","score":0.10399556159973145}],"concepts":[{"id":"https://openalex.org/C2780728851","wikidata":"https://www.wikidata.org/wiki/Q468402","display_name":"Tile","level":2,"score":0.9674928188323975},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.6141626238822937},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.5809776186943054},{"id":"https://openalex.org/C135692309","wikidata":"https://www.wikidata.org/wiki/Q111124","display_name":"Square (algebra)","level":2,"score":0.5718048810958862},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.49246200919151306},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.44529420137405396},{"id":"https://openalex.org/C26856880","wikidata":"https://www.wikidata.org/wiki/Q910150","display_name":"Self-assembly","level":2,"score":0.4349464178085327},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.42077067494392395},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.40132641792297363},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.2776762843132019},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2425273358821869},{"id":"https://openalex.org/C171250308","wikidata":"https://www.wikidata.org/wiki/Q11468","display_name":"Nanotechnology","level":1,"score":0.2304125726222992},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.202935129404068},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.19521278142929077},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.10399556159973145},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","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},{"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/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/1529282.1529453","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1529282.1529453","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2009 ACM symposium on Applied Computing","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":13,"referenced_works":["https://openalex.org/W1503647233","https://openalex.org/W1513937643","https://openalex.org/W1567090568","https://openalex.org/W1785874214","https://openalex.org/W1794991410","https://openalex.org/W1983241546","https://openalex.org/W1983382833","https://openalex.org/W2042061702","https://openalex.org/W2062802768","https://openalex.org/W2068744615","https://openalex.org/W2147682069","https://openalex.org/W2167160788","https://openalex.org/W2784847360"],"related_works":["https://openalex.org/W2114959296","https://openalex.org/W38346124","https://openalex.org/W2502442966","https://openalex.org/W2138666621","https://openalex.org/W2383936314","https://openalex.org/W1992771654","https://openalex.org/W2022661278","https://openalex.org/W115184458","https://openalex.org/W2167981378","https://openalex.org/W2024827079"],"abstract_inverted_index":{"Self-assembly":[0,17],"is":[1,143,155,198,205,209,247],"an":[2,210],"autonomous":[3],"process":[4,61,152,222],"by":[5,71,157,164,168,249],"which":[6],"small":[7],"simple":[8],"parts":[9],"assemble":[10],"into":[11],"larger":[12],"and":[13,29,53,73,86,162,262],"more":[14],"complex":[15,178,197],"objects.":[16],"occurs":[18],"in":[19],"nature,":[20],"for":[21,47],"example,":[22],"when":[23],"atoms":[24],"combine":[25,31],"to":[26,32,175,194,230],"form":[27,33,124],"molecules,":[28],"molecules":[30],"crystals.":[34],"It":[35,204],"has":[36,97,240],"been":[37],"suggested":[38],"that":[39,114,207,236],"intricate":[40],"self-assembly":[41,63,154],"schemes":[42],"will":[43],"ultimately":[44],"be":[45,228],"useful":[46],"circuit":[48],"fabrication,":[49],"nanorobotics,":[50],"DNA":[51],"computing,":[52],"amorphous":[54],"computing":[55],"[2,":[56],"7].":[57],"To":[58],"study":[59],"the":[60,66,79,102,128,132,136,144,147,176,186,189,195,201,231,237,250,253,258,263],"of":[62,81,89,101,105,140,146,153,188,191,213,215,255,260],"we":[64,234],"use":[65],"Tile":[67],"Assembly":[68],"Model":[69],"proposed":[70],"Rothemund":[72],"Winfree":[74],"[5].":[75],"This":[76],"model":[77],"considers":[78],"assembly":[80],"square":[82],"blocks":[83],"called":[84,91],"\"tiles\"":[85],"a":[87,98,106,110,125,158],"set":[88,254],"glues":[90,261],"\"binding":[92],"domains\".":[93],"Each":[94,100],"binding":[95,129,149],"domain":[96],"strength.":[99],"four":[103],"sides":[104,134],"tile":[107,161,171,217,226,238,245,256],"can":[108,172,227],"have":[109],"glue":[111],"on":[112,131],"it":[113,180],"determines":[115],"interactions":[116],"with":[117],"neighbouring":[118,122],"tiles.":[119],"The":[120,138,151],"two":[121],"tiles":[123,166,214],"bond":[126,142],"if":[127,179,185],"domains":[130],"touching":[133],"are":[135],"same.":[137],"strength":[139,145],"this":[141,220,242],"matching":[148],"domain.":[150],"initiated":[156],"single":[159],"seed":[160,251],"proceeds":[163],"attaching":[165],"one":[167],"one.":[169],"A":[170,244],"only":[173],"attach":[174],"growing":[177,221],"binds":[181],"strongly":[182],"enough,":[183],"i.e.,":[184,224],"sum":[187],"strengths":[190,259],"its":[192],"bonds":[193],"existing":[196,232],"at":[199],"least":[200],"temperature":[202],"\u03c4.":[203],"assumed":[206],"there":[208],"infinite":[211],"supply":[212],"each":[216],"type.":[218],"When":[219],"stops,":[223],"no":[225],"attached":[229],"complex,":[233],"say":[235],"system":[239,246],"assembled":[241],"shape.":[243],"specified":[248],"tile,":[252],"types,":[257],"temperature.":[264]},"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}