{"id":"https://openalex.org/W2034498767","doi":"https://doi.org/10.1109/tcad.2012.2217963","title":"Graph-Pair Decision Diagram Construction for Topological Symbolic Circuit Analysis","display_name":"Graph-Pair Decision Diagram Construction for Topological Symbolic Circuit Analysis","publication_year":2013,"publication_date":"2013-01-21","ids":{"openalex":"https://openalex.org/W2034498767","doi":"https://doi.org/10.1109/tcad.2012.2217963","mag":"2034498767"},"language":"en","primary_location":{"id":"doi:10.1109/tcad.2012.2217963","doi":"https://doi.org/10.1109/tcad.2012.2217963","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcad.2012.2217963","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,"listed_in":["ccf-a","cwts-core","dongbi-a","jufo-2","norway-1","poland-100","russia-white-list-1"],"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"},"volume":null,"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/A5072810436","display_name":"Guoyong Shi","orcid":"https://orcid.org/0000-0002-8655-3487","observed_orcids":["https://orcid.org/0000-0002-8655-3487"]},"institutions":[{"id":"https://openalex.org/I183067930","display_name":"Shanghai Jiao Tong University","ror":"https://ror.org/0220qvk04","country_code":"CN","type":"education","lineage":["https://openalex.org/I183067930"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Guoyong Shi","raw_affiliation_strings":["School of Microelectronics, Shanghai Jiaotong University, Shanghai, China","[Sch. of Microelectron., Shanghai Jiao Tong Univ., Shanghai, China]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Microelectronics, Shanghai Jiaotong University, Shanghai, China","institution_ids":["https://openalex.org/I183067930"]},{"raw_affiliation_string":"[Sch. of Microelectron., Shanghai Jiao Tong Univ., Shanghai, China]","institution_ids":["https://openalex.org/I183067930"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5072810436"],"corresponding_institution_ids":["https://openalex.org/I183067930"],"apc_list":{"value":2645,"currency":"USD","value_usd":2645},"apc_paid":null,"fwci":6.9411,"has_fulltext":false,"cited_by_count":50,"citation_normalized_percentile":{"value":0.97292326,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"32","issue":"2","first_page":"275","last_page":"288"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10142","display_name":"Formal Methods in Verification","score":0.6518999934196472,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T10142","display_name":"Formal Methods in Verification","score":0.6518999934196472,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T11522","display_name":"VLSI and FPGA Design Techniques","score":0.22830000519752502,"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/T11032","display_name":"VLSI and Analog Circuit Testing","score":0.0272000003606081,"subfield":{"id":"https://openalex.org/subfields/1708","display_name":"Hardware and Architecture"},"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/binary-decision-diagrams","display_name":"binary decision diagrams","score":0.7350000143051147},{"id":"https://openalex.org/keywords/symbolic-circuit-analysis","display_name":"symbolic circuit analysis","score":0.9789999723434448}],"concepts":[{"id":"https://openalex.org/C3309909","wikidata":"https://www.wikidata.org/wiki/Q864155","display_name":"Binary decision diagram","level":2,"score":0.8668496608734131},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6244807243347168},{"id":"https://openalex.org/C65620979","wikidata":"https://www.wikidata.org/wiki/Q7661176","display_name":"Symbolic data analysis","level":2,"score":0.6081043481826782},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5758672952651978},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5693235397338867},{"id":"https://openalex.org/C162319229","wikidata":"https://www.wikidata.org/wiki/Q175263","display_name":"Data structure","level":2,"score":0.519485354423523},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.5160412788391113},{"id":"https://openalex.org/C88230418","wikidata":"https://www.wikidata.org/wiki/Q131476","display_name":"Graph theory","level":2,"score":0.502509593963623},{"id":"https://openalex.org/C20837028","wikidata":"https://www.wikidata.org/wiki/Q623966","display_name":"Influence diagram","level":3,"score":0.48582908511161804},{"id":"https://openalex.org/C23123167","wikidata":"https://www.wikidata.org/wiki/Q7661193","display_name":"Symbolic trajectory evaluation","level":3,"score":0.4386729598045349},{"id":"https://openalex.org/C187455244","wikidata":"https://www.wikidata.org/wiki/Q942353","display_name":"Boolean function","level":2,"score":0.42604196071624756},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.4216897487640381},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.26653921604156494},{"id":"https://openalex.org/C84525736","wikidata":"https://www.wikidata.org/wiki/Q831366","display_name":"Decision tree","level":2,"score":0.23134756088256836},{"id":"https://openalex.org/C110251889","wikidata":"https://www.wikidata.org/wiki/Q1569697","display_name":"Model checking","level":2,"score":0.20261633396148682},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.18833333253860474},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.12024682760238647},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.07950526475906372},{"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.2012.2217963","doi":"https://doi.org/10.1109/tcad.2012.2217963","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcad.2012.2217963","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,"listed_in":["ccf-a","cwts-core","dongbi-a","jufo-2","norway-1","poland-100","russia-white-list-1"],"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":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":44,"referenced_works":["https://openalex.org/W625187745","https://openalex.org/W1525626016","https://openalex.org/W1895485193","https://openalex.org/W1965356556","https://openalex.org/W1975335740","https://openalex.org/W2021570329","https://openalex.org/W2023179565","https://openalex.org/W2042054208","https://openalex.org/W2066739382","https://openalex.org/W2075277179","https://openalex.org/W2078279553","https://openalex.org/W2080267935","https://openalex.org/W2096784653","https://openalex.org/W2099171747","https://openalex.org/W2112369634","https://openalex.org/W2114430625","https://openalex.org/W2116164133","https://openalex.org/W2116394695","https://openalex.org/W2117377214","https://openalex.org/W2122471955","https://openalex.org/W2122691518","https://openalex.org/W2126020962","https://openalex.org/W2127420676","https://openalex.org/W2130635027","https://openalex.org/W2131750054","https://openalex.org/W2132187000","https://openalex.org/W2132741311","https://openalex.org/W2135453964","https://openalex.org/W2136620308","https://openalex.org/W2139030761","https://openalex.org/W2139100131","https://openalex.org/W2143802986","https://openalex.org/W2151567680","https://openalex.org/W2154124883","https://openalex.org/W2154430877","https://openalex.org/W2164540960","https://openalex.org/W2604023631","https://openalex.org/W2799004609","https://openalex.org/W3142214036","https://openalex.org/W3143189837","https://openalex.org/W3147616483","https://openalex.org/W4242609991","https://openalex.org/W4246301495","https://openalex.org/W4248662816"],"related_works":["https://openalex.org/W243035818","https://openalex.org/W86849356","https://openalex.org/W2164540960","https://openalex.org/W4246301495","https://openalex.org/W2066739382","https://openalex.org/W2154124883","https://openalex.org/W7097457222","https://openalex.org/W1491763066","https://openalex.org/W1590786928","https://openalex.org/W2032733423"],"abstract_inverted_index":{"Symbolic":[0],"circuit":[1,9,73,105],"analysis":[2,74],"is":[3,23,35,93,106,112,155,158,166],"concerned":[4],"with":[5,40],"analytical":[6,63],"construction":[7,86,145],"of":[8,48,101,170,174,194],"response":[10],"in":[11,172],"the":[12,30,41,104,117,130,143,161,184],"frequency":[13],"(or":[14],"time)":[15],"domain,":[16],"for":[17,71,79,142,179],"which":[18,59,109,123],"an":[19,76],"efficient":[20,77],"data":[21,38],"structure":[22,39],"required.":[24],"Recent":[25],"research":[26],"has":[27,187],"justified":[28],"that":[29,160,169],"binary":[31],"decision":[32,90,133],"diagram":[33,91,134],"(BDD)":[34],"a":[36,45,56,84,96,99,110,149,190],"superior":[37],"following":[42],"distinguishing":[43],"feature:":[44],"large":[46],"number":[47,193],"product":[49,196],"terms":[50,173],"can":[51,65],"be":[52,66],"compactly":[53],"represented":[54],"by":[55,114],"BDD,":[57],"on":[58],"numerical":[60],"computations":[61],"and":[62,139,148,176],"deductions":[64],"performed":[67],"directly.":[68],"Using":[69],"BDD":[70],"symbolic":[72,126,181,195],"requires":[75],"method":[78],"construction.":[80],"In":[81],"this":[82],"paper,":[83],"graph-based":[85],"method,":[87],"called":[88],"graph-pair":[89],"(GPDD),":[92],"developed.":[94],"Given":[95],"small-signal":[97],"circuit,":[98],"pair":[100],"graphs":[102],"representing":[103],"created,":[107],"from":[108,129],"GPDD":[111,121,144,165,185],"constructed":[113],"successively":[115],"reducing":[116],"graph":[118],"pair.":[119],"The":[120],"algorithm,":[122],"generates":[124],"cancellation-free":[125],"terms,":[127],"differs":[128],"existing":[131],"determinant":[132],"(DDD)":[135],"algorithm.":[136],"Detailed":[137],"theory":[138],"implementable":[140],"algorithms":[141],"are":[146],"developed,":[147],"runtime":[150,162],"performance":[151,163],"comparison":[152],"to":[153,168,188],"DDD":[154,171],"made.":[156],"It":[157],"demonstrated":[159],"using":[164],"comparable":[167],"time":[175],"memory":[177],"complexity":[178],"exact":[180],"analysis,":[182],"although":[183],"algorithm":[186],"generate":[189],"much":[191],"larger":[192],"terms.":[197]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":6},{"year":2017,"cited_by_count":5},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":6},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":6}],"updated_date":"2026-10-16T09:59:22.235173","created_date":"2016-06-24T00:00:00"}
