{"id":"https://openalex.org/W2161661658","doi":"https://doi.org/10.1109/tcad.2012.2201155","title":"A Hierarchy-Based Distributed Algorithm for Layout Geometry Operations","display_name":"A Hierarchy-Based Distributed Algorithm for Layout Geometry Operations","publication_year":2012,"publication_date":"2012-09-15","ids":{"openalex":"https://openalex.org/W2161661658","doi":"https://doi.org/10.1109/tcad.2012.2201155","mag":"2161661658"},"language":"en","primary_location":{"id":"doi:10.1109/tcad.2012.2201155","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcad.2012.2201155","pdf_url":null,"source":{"id":"https://openalex.org/S100835903","display_name":"IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems","issn_l":"0278-0070","issn":["0278-0070","1937-4151"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems","raw_type":"journal-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/A5034097330","display_name":"Kai-Ti Hsu","orcid":null},"institutions":[{"id":"https://openalex.org/I91807558","display_name":"National Cheng Kung University","ror":"https://ror.org/01b8kcc49","country_code":"TW","type":"education","lineage":["https://openalex.org/I91807558"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"Kai-Ti Hsu","raw_affiliation_strings":["Department of Computer Science and Information Engineering, National Cheng Kung University, Tainan, Taiwan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science and Information Engineering, National Cheng Kung University, Tainan, Taiwan","institution_ids":["https://openalex.org/I91807558"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5108545002","display_name":"Subarna Sinha","orcid":null},"institutions":[{"id":"https://openalex.org/I91807558","display_name":"National Cheng Kung University","ror":"https://ror.org/01b8kcc49","country_code":"TW","type":"education","lineage":["https://openalex.org/I91807558"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"Subarna Sinha","raw_affiliation_strings":["Department of Computer Science and Information Engineering, National Cheng Kung University, Tainan, Taiwan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science and Information Engineering, National Cheng Kung University, Tainan, Taiwan","institution_ids":["https://openalex.org/I91807558"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5043368134","display_name":"Yu-Chuan Pi","orcid":null},"institutions":[{"id":"https://openalex.org/I91807558","display_name":"National Cheng Kung University","ror":"https://ror.org/01b8kcc49","country_code":"TW","type":"education","lineage":["https://openalex.org/I91807558"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"Yu-Chuan Pi","raw_affiliation_strings":["Department of Computer Science and Information Engineering, National Cheng Kung University, Tainan, Taiwan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science and Information Engineering, National Cheng Kung University, Tainan, Taiwan","institution_ids":["https://openalex.org/I91807558"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5062800747","display_name":"Tsung-Yi Ho","orcid":"https://orcid.org/0000-0001-7348-5625"},"institutions":[{"id":"https://openalex.org/I91807558","display_name":"National Cheng Kung University","ror":"https://ror.org/01b8kcc49","country_code":"TW","type":"education","lineage":["https://openalex.org/I91807558"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"Tsung-Yi Ho","raw_affiliation_strings":["Department of Computer Science and Information Engineering, National Cheng Kung University, Tainan, Taiwan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science and Information Engineering, National Cheng Kung University, Tainan, Taiwan","institution_ids":["https://openalex.org/I91807558"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.23631722,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":96,"max":97},"biblio":{"volume":"31","issue":"10","first_page":"1546","last_page":"1557"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12176","display_name":"Optimization and Packing Problems","score":0.9983000159263611,"subfield":{"id":"https://openalex.org/subfields/2209","display_name":"Industrial and Manufacturing 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/T12176","display_name":"Optimization and Packing Problems","score":0.9983000159263611,"subfield":{"id":"https://openalex.org/subfields/2209","display_name":"Industrial and Manufacturing 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/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9968000054359436,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"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/T11159","display_name":"Manufacturing Process and Optimization","score":0.9944000244140625,"subfield":{"id":"https://openalex.org/subfields/2209","display_name":"Industrial and Manufacturing 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/partition","display_name":"Partition (number theory)","score":0.7347831726074219},{"id":"https://openalex.org/keywords/scalability","display_name":"Scalability","score":0.7113471031188965},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6606937646865845},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5801408886909485},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.49971914291381836},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4911065101623535},{"id":"https://openalex.org/keywords/process","display_name":"Process (computing)","score":0.42295122146606445},{"id":"https://openalex.org/keywords/key","display_name":"Key (lock)","score":0.4110104441642761},{"id":"https://openalex.org/keywords/database","display_name":"Database","score":0.20703396201133728},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.17683976888656616},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.10499057173728943}],"concepts":[{"id":"https://openalex.org/C42812","wikidata":"https://www.wikidata.org/wiki/Q1082910","display_name":"Partition (number theory)","level":2,"score":0.7347831726074219},{"id":"https://openalex.org/C48044578","wikidata":"https://www.wikidata.org/wiki/Q727490","display_name":"Scalability","level":2,"score":0.7113471031188965},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6606937646865845},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5801408886909485},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.49971914291381836},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4911065101623535},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.42295122146606445},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.4110104441642761},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.20703396201133728},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.17683976888656616},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.10499057173728943},{"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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tcad.2012.2201155","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcad.2012.2201155","pdf_url":null,"source":{"id":"https://openalex.org/S100835903","display_name":"IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems","issn_l":"0278-0070","issn":["0278-0070","1937-4151"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Industry, innovation and infrastructure","score":0.47999998927116394,"id":"https://metadata.un.org/sdg/9"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W1522176661","https://openalex.org/W1547557438","https://openalex.org/W1559717218","https://openalex.org/W1896018452","https://openalex.org/W1963585332","https://openalex.org/W2017270088","https://openalex.org/W2033266778","https://openalex.org/W2050576295","https://openalex.org/W2097724798","https://openalex.org/W2101497303","https://openalex.org/W2118624726","https://openalex.org/W2127528134","https://openalex.org/W2270503553","https://openalex.org/W4229669947","https://openalex.org/W7056556511"],"related_works":["https://openalex.org/W2389214306","https://openalex.org/W2965083567","https://openalex.org/W4235240664","https://openalex.org/W1838576100","https://openalex.org/W2757182831","https://openalex.org/W2095886385","https://openalex.org/W2089704382","https://openalex.org/W1983399550","https://openalex.org/W2152844235","https://openalex.org/W2376454312"],"abstract_inverted_index":{"This":[0,147],"paper":[1],"introduces":[2],"a":[3,58,90,93,153,180],"novel":[4],"distributed":[5,68,219],"algorithm":[6,69,101,167,212],"for":[7,70,192,197],"performing":[8,71],"the":[9,33,36,99,103,127,133,157,165,183,198,202,208],"layout":[10,19,51,74,91,96,104,112,159,194,200],"geometry":[11,75,97,113,136,195],"operations":[12,76,114,137],"usually":[13],"found":[14],"in":[15,117,215],"design":[16],"rule":[17],"checking,":[18],"verification,":[20],"and":[21,66,85,92,132,187,229],"mask":[22,37,86],"synthesis.":[23],"A":[24,161],"large":[25,59,223],"number":[26],"of":[27,61,73,79,95,111,130,135,164,182],"machines":[28,42],"are":[29,124,190],"typically":[30],"available":[31],"to":[32,57,82,178],"user":[34],"during":[35],"synthesis":[38,87],"flow.":[39],"As":[40],"multiple":[41],"or":[43],"cores":[44],"become":[45],"more":[46],"ubiquitous,":[47],"even":[48],"designers":[49,84],"using":[50],"verification":[52],"tools":[53],"will":[54,77],"have":[55],"access":[56],"set":[60,129],"machines.":[62],"Therefore,":[63],"an":[64,217],"efficient":[65],"scalable":[67],"sequences":[72],"be":[78],"great":[80],"value":[81],"both":[83],"engineers.":[88],"Given":[89],"sequence":[94,110,134],"operations,":[98],"proposed":[100,166,211],"divides":[102],"into":[105],"several":[106],"partitions.":[107,121,209],"The":[108,210],"given":[109],"is":[115,138,168,171,176],"executed":[116],"parallel":[118],"on":[119,140,206,222],"different":[120],"New":[122],"partitions":[123,131,142],"derived":[125],"from":[126],"original":[128],"repeated":[139],"larger":[141],"with":[143],"much":[144],"fewer":[145],"polygons.":[146],"process":[148],"continues":[149],"until":[150],"it":[151,170],"produces":[152],"partition":[154,175],"that":[155,169],"covers":[156],"entire":[158,199],"area.":[160],"key":[162],"feature":[163],"correct-by-construction,":[172],"i.e.,":[173],"each":[174,193],"guaranteed":[177],"generate":[179],"subset":[181],"correct":[184,188],"results.":[185],"Complete":[186],"results":[189],"generated":[191],"operation":[196,203],"when":[201],"completes":[204],"execution":[205],"all":[207],"was":[213],"implemented":[214],"Gearman,":[216],"open-source":[218],"framework.":[220],"Results":[221],"industrial":[224],"layouts":[225],"show":[226],"good":[227],"performance":[228],"scalability.":[230]},"counts_by_year":[{"year":2016,"cited_by_count":3}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}