{"id":"https://openalex.org/W1927407638","doi":"https://doi.org/10.1109/iscas.2003.1206326","title":"Placement with symmetry constraints for analog layout using red-black trees","display_name":"Placement with symmetry constraints for analog layout using red-black trees","publication_year":2003,"publication_date":"2003-11-04","ids":{"openalex":"https://openalex.org/W1927407638","doi":"https://doi.org/10.1109/iscas.2003.1206326","mag":"1927407638"},"language":"en","primary_location":{"id":"doi:10.1109/iscas.2003.1206326","is_oa":false,"landing_page_url":"https://doi.org/10.1109/iscas.2003.1206326","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2003 International Symposium on Circuits and Systems, 2003. ISCAS '03.","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/A5037935163","display_name":"Sarat C. Maruvada","orcid":null},"institutions":[{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]},{"id":"https://openalex.org/I39422238","display_name":"University of Illinois Chicago","ror":"https://ror.org/02mpq6x41","country_code":"US","type":"education","lineage":["https://openalex.org/I39422238"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"S.C. Maruvada","raw_affiliation_strings":["Department of Computer Science, University of Illinois, Chicago, USA","Dept. of Comput. Sci., Illinois Univ., Chicago, IL, USA#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Illinois, Chicago, USA","institution_ids":["https://openalex.org/I39422238"]},{"raw_affiliation_string":"Dept. of Comput. Sci., Illinois Univ., Chicago, IL, USA#TAB#","institution_ids":["https://openalex.org/I157725225"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5000730328","display_name":"Karthik Krishnamoorthy","orcid":null},"institutions":[{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]},{"id":"https://openalex.org/I39422238","display_name":"University of Illinois Chicago","ror":"https://ror.org/02mpq6x41","country_code":"US","type":"education","lineage":["https://openalex.org/I39422238"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"K. Krishnamoorthy","raw_affiliation_strings":["Department of Computer Science, University of Illinois, Chicago, USA","Dept. of Comput. Sci., Illinois Univ., Chicago, IL, USA#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Illinois, Chicago, USA","institution_ids":["https://openalex.org/I39422238"]},{"raw_affiliation_string":"Dept. of Comput. Sci., Illinois Univ., Chicago, IL, USA#TAB#","institution_ids":["https://openalex.org/I157725225"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5024945907","display_name":"S. Annojvala","orcid":null},"institutions":[{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]},{"id":"https://openalex.org/I39422238","display_name":"University of Illinois Chicago","ror":"https://ror.org/02mpq6x41","country_code":"US","type":"education","lineage":["https://openalex.org/I39422238"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"S. Annojvala","raw_affiliation_strings":["Department of Computer Science, University of Illinois, Chicago, USA","Dept. of Comput. Sci., Illinois Univ., Chicago, IL, USA#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Illinois, Chicago, USA","institution_ids":["https://openalex.org/I39422238"]},{"raw_affiliation_string":"Dept. of Comput. Sci., Illinois Univ., Chicago, IL, USA#TAB#","institution_ids":["https://openalex.org/I157725225"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5026837255","display_name":"Florin Balasa","orcid":null},"institutions":[{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]},{"id":"https://openalex.org/I39422238","display_name":"University of Illinois Chicago","ror":"https://ror.org/02mpq6x41","country_code":"US","type":"education","lineage":["https://openalex.org/I39422238"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"F. Balasa","raw_affiliation_strings":["Department of Computer Science, University of Illinois, Chicago, USA","Dept. of Comput. Sci., Illinois Univ., Chicago, IL, USA#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Illinois, Chicago, USA","institution_ids":["https://openalex.org/I39422238"]},{"raw_affiliation_string":"Dept. of Comput. Sci., Illinois Univ., Chicago, IL, USA#TAB#","institution_ids":["https://openalex.org/I157725225"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.3543,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.60883559,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"5","issue":null,"first_page":"V","last_page":"489"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11522","display_name":"VLSI and FPGA Design Techniques","score":1.0,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic 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/T11522","display_name":"VLSI and FPGA Design Techniques","score":1.0,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic 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/T11527","display_name":"3D IC and TSV technologies","score":0.9979000091552734,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic 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/T10363","display_name":"Low-power high-performance VLSI design","score":0.9976999759674072,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic 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/computer-science","display_name":"Computer science","score":0.6696790456771851},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.6563094258308411},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5828168392181396},{"id":"https://openalex.org/keywords/integrated-circuit-layout","display_name":"Integrated circuit layout","score":0.5500791668891907},{"id":"https://openalex.org/keywords/tree","display_name":"Tree (set theory)","score":0.5394834280014038},{"id":"https://openalex.org/keywords/symmetry","display_name":"Symmetry (geometry)","score":0.49776390194892883},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.45892149209976196},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.4503350853919983},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.42897215485572815},{"id":"https://openalex.org/keywords/plane","display_name":"Plane (geometry)","score":0.42482486367225647},{"id":"https://openalex.org/keywords/routing","display_name":"Routing (electronic design automation)","score":0.4245795011520386},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3518093526363373},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.21190392971038818},{"id":"https://openalex.org/keywords/integrated-circuit","display_name":"Integrated circuit","score":0.1651107370853424},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.11180737614631653},{"id":"https://openalex.org/keywords/embedded-system","display_name":"Embedded system","score":0.08048820495605469}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6696790456771851},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.6563094258308411},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5828168392181396},{"id":"https://openalex.org/C2765594","wikidata":"https://www.wikidata.org/wiki/Q2624187","display_name":"Integrated circuit layout","level":3,"score":0.5500791668891907},{"id":"https://openalex.org/C113174947","wikidata":"https://www.wikidata.org/wiki/Q2859736","display_name":"Tree (set theory)","level":2,"score":0.5394834280014038},{"id":"https://openalex.org/C2779886137","wikidata":"https://www.wikidata.org/wiki/Q21030012","display_name":"Symmetry (geometry)","level":2,"score":0.49776390194892883},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.45892149209976196},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.4503350853919983},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.42897215485572815},{"id":"https://openalex.org/C17825722","wikidata":"https://www.wikidata.org/wiki/Q17285","display_name":"Plane (geometry)","level":2,"score":0.42482486367225647},{"id":"https://openalex.org/C74172769","wikidata":"https://www.wikidata.org/wiki/Q1446839","display_name":"Routing (electronic design automation)","level":2,"score":0.4245795011520386},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3518093526363373},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.21190392971038818},{"id":"https://openalex.org/C530198007","wikidata":"https://www.wikidata.org/wiki/Q80831","display_name":"Integrated circuit","level":2,"score":0.1651107370853424},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.11180737614631653},{"id":"https://openalex.org/C149635348","wikidata":"https://www.wikidata.org/wiki/Q193040","display_name":"Embedded system","level":1,"score":0.08048820495605469},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/iscas.2003.1206326","is_oa":false,"landing_page_url":"https://doi.org/10.1109/iscas.2003.1206326","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2003 International Symposium on Circuits and Systems, 2003. ISCAS '03.","raw_type":"proceedings-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.135.3452","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.135.3452","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cs.uic.edu/~fbalasa/iscas03.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":9,"referenced_works":["https://openalex.org/W1554522304","https://openalex.org/W2021615496","https://openalex.org/W2100776169","https://openalex.org/W2131979475","https://openalex.org/W2145458600","https://openalex.org/W2148777220","https://openalex.org/W2154462472","https://openalex.org/W6633258237","https://openalex.org/W6681916600"],"related_works":["https://openalex.org/W2158511068","https://openalex.org/W2167484077","https://openalex.org/W2108092114","https://openalex.org/W2013797485","https://openalex.org/W4247948903","https://openalex.org/W2155675690","https://openalex.org/W3146494560","https://openalex.org/W2111071331","https://openalex.org/W1980984060","https://openalex.org/W1538254313"],"abstract_inverted_index":{"The":[0,90],"traditional":[1,110],"way":[2],"of":[3,23,59,62,69,73,76,86,105,121,138],"approaching":[4],"placement":[5,27,53],"problems":[6],"in":[7,34],"computer-aided":[8],"design":[9],"(CAD)":[10],"tools":[11],"for":[12],"analog":[13,52],"layout":[14],"is":[15,78,116],"to":[16,41,118,132],"explore":[17],"an":[18,70],"extremely":[19],"large":[20],"search":[21],"space":[22],"feasible":[24],"or":[25],"unfeasible":[26],"configurations,":[28],"where":[29,65],"the":[30,35,57,63,66,84,87,106,109,119],"cells":[31],"are":[32,98],"moved":[33],"chip":[36],"plane":[37],"(being":[38],"even":[39],"allowed":[40],"overlap)":[42],"by":[43,94,128],"a":[44,50,124],"stochastic":[45],"optimizer.":[46],"This":[47,113],"paper":[48],"presents":[49],"novel":[51,96],"technique":[54],"operating":[55],"on":[56,135],"set":[58],"tree":[60],"representations":[61],"layout,":[64],"typical":[67],"presence":[68],"arbitrary":[71],"number":[72],"symmetry":[74],"groups":[75],"devices":[77],"directly":[79],"taken":[80],"into":[81],"account":[82],"during":[83],"exploration":[85,111],"solution":[88],"space.":[89],"computation":[91],"times":[92,101],"exhibited":[93],"this":[95],"approach":[97],"typically":[99],"3-6":[100],"better":[102],"than":[103],"those":[104],"algorithms":[107],"using":[108],"strategy.":[112],"superior":[114],"efficiency":[115],"due":[117],"use":[120],"red-black":[122],"trees,":[123],"data":[125],"structure":[126],"introduced":[127],"Guibas":[129],"and":[130],"Sedgewick":[131],"support":[133],"operations":[134],"dynamic":[136],"sets":[137],"intervals.":[139]},"counts_by_year":[{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":2}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}