{"id":"https://openalex.org/W2126020962","doi":"https://doi.org/10.1109/tcsii.2010.2067791","title":"Computational Complexity Analysis of Determinant Decision Diagram","display_name":"Computational Complexity Analysis of Determinant Decision Diagram","publication_year":2010,"publication_date":"2010-09-20","ids":{"openalex":"https://openalex.org/W2126020962","doi":"https://doi.org/10.1109/tcsii.2010.2067791","mag":"2126020962"},"language":"en","primary_location":{"id":"doi:10.1109/tcsii.2010.2067791","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcsii.2010.2067791","pdf_url":null,"source":{"id":"https://openalex.org/S93916849","display_name":"IEEE Transactions on Circuits & Systems II Express Briefs","issn_l":"1549-7747","issn":["1549-7747","1558-3791"],"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 Circuits and Systems II: Express Briefs","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/A5072810436","display_name":"Guoyong Shi","orcid":"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]"],"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":null,"apc_paid":null,"fwci":2.8864,"has_fulltext":false,"cited_by_count":16,"citation_normalized_percentile":{"value":0.91395102,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"57","issue":"10","first_page":"828","last_page":"832"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10363","display_name":"Low-power high-performance VLSI design","score":0.9998999834060669,"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/T10363","display_name":"Low-power high-performance VLSI design","score":0.9998999834060669,"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":0.9998000264167786,"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"}},{"id":"https://openalex.org/T11522","display_name":"VLSI and FPGA Design Techniques","score":0.9998000264167786,"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/binary-decision-diagram","display_name":"Binary decision diagram","score":0.8366762399673462},{"id":"https://openalex.org/keywords/diagram","display_name":"Diagram","score":0.5822440385818481},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5821437835693359},{"id":"https://openalex.org/keywords/symbol","display_name":"Symbol (formal)","score":0.5820679068565369},{"id":"https://openalex.org/keywords/computational-complexity-theory","display_name":"Computational complexity theory","score":0.5466658473014832},{"id":"https://openalex.org/keywords/logical-matrix","display_name":"Logical matrix","score":0.5413117408752441},{"id":"https://openalex.org/keywords/time-complexity","display_name":"Time complexity","score":0.5394871830940247},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5202770829200745},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.5155384540557861},{"id":"https://openalex.org/keywords/column","display_name":"Column (typography)","score":0.5037283301353455},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.47657132148742676},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.46394750475883484},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.41553381085395813},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.37450093030929565},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.360105037689209},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.14266690611839294},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.12383171916007996}],"concepts":[{"id":"https://openalex.org/C3309909","wikidata":"https://www.wikidata.org/wiki/Q864155","display_name":"Binary decision diagram","level":2,"score":0.8366762399673462},{"id":"https://openalex.org/C186399060","wikidata":"https://www.wikidata.org/wiki/Q959962","display_name":"Diagram","level":2,"score":0.5822440385818481},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5821437835693359},{"id":"https://openalex.org/C134400042","wikidata":"https://www.wikidata.org/wiki/Q2372244","display_name":"Symbol (formal)","level":2,"score":0.5820679068565369},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.5466658473014832},{"id":"https://openalex.org/C163561899","wikidata":"https://www.wikidata.org/wiki/Q1994977","display_name":"Logical matrix","level":3,"score":0.5413117408752441},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.5394871830940247},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5202770829200745},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.5155384540557861},{"id":"https://openalex.org/C2780551164","wikidata":"https://www.wikidata.org/wiki/Q2306599","display_name":"Column (typography)","level":3,"score":0.5037283301353455},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.47657132148742676},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.46394750475883484},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.41553381085395813},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.37450093030929565},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.360105037689209},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.14266690611839294},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.12383171916007996},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C178790620","wikidata":"https://www.wikidata.org/wiki/Q11351","display_name":"Organic chemistry","level":1,"score":0.0},{"id":"https://openalex.org/C13355873","wikidata":"https://www.wikidata.org/wiki/Q2920850","display_name":"Connection (principal bundle)","level":2,"score":0.0},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"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:10.1109/tcsii.2010.2067791","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcsii.2010.2067791","pdf_url":null,"source":{"id":"https://openalex.org/S93916849","display_name":"IEEE Transactions on Circuits & Systems II Express Briefs","issn_l":"1549-7747","issn":["1549-7747","1558-3791"],"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 Circuits and Systems II: Express Briefs","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","score":0.7599999904632568,"id":"https://metadata.un.org/sdg/16"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":9,"referenced_works":["https://openalex.org/W1936897052","https://openalex.org/W1975335740","https://openalex.org/W1980616911","https://openalex.org/W2080267935","https://openalex.org/W2103188990","https://openalex.org/W2149678407","https://openalex.org/W2152211357","https://openalex.org/W2152998349","https://openalex.org/W2164540960"],"related_works":["https://openalex.org/W2307932686","https://openalex.org/W1993456173","https://openalex.org/W2369684278","https://openalex.org/W2904730515","https://openalex.org/W2038757167","https://openalex.org/W1914985697","https://openalex.org/W2107287896","https://openalex.org/W2373218001","https://openalex.org/W2126020962","https://openalex.org/W2359199758"],"abstract_inverted_index":{"Abstract-A":[0],"determinant":[1,14],"decision":[2,8],"diagram":[3,9],"(DDD)":[4],"uses":[5],"a":[6,13,28,34,65,73,129],"binary":[7],"(BDD)":[10],"to":[11,110],"calculate":[12],"symbolically,":[15],"which":[16],"is":[17,30,43,57,63,78,108],"then":[18],"applied":[19],"for":[20,64,83,119],"symbolic":[21],"circuit":[22],"analysis.":[23],"The":[24,104],"efficiency":[25],"of":[26,52,98],"such":[27],"technique":[29],"determined":[31],"mainly":[32],"by":[33],"symbol":[35,41],"ordering":[36],"scheme.":[37],"Finding":[38],"an":[39,44,60,79,120],"optimal":[40,61,80,105],"order":[42,62,77,82],"non-deterministic":[45],"polynomial-time":[46],"hard":[47],"problem":[48],"in":[49,86,138],"the":[50,87,90,95,101,139],"practice":[51],"BDD.":[53],"So":[54],"far,":[55],"it":[56],"unknown":[58],"what":[59],"general":[66],"sparse":[67],"matrix.":[68,125],"This":[69,126],"brief":[70],"shows":[71],"that":[72,89,133],"row-wise":[74],"(or":[75],"column-wise)":[76],"BDD":[81],"full":[84,124],"matrices":[85],"sense":[88],"DDD":[91,102,106,130],"graph":[92],"constructed":[93],"has":[94,134],"minimum":[96],"number":[97],"vertices":[99],"(i.e.,":[100],"size).":[103],"size":[107,127],"proven":[109],"be":[111],"(n":[112],"\u00b7":[113],"2":[114],"<sup":[115],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[116],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">n-1</sup>":[117],")":[118],"n":[121,123],"\u00d7":[122],"provides":[128],"complexity":[131],"measure":[132],"rarely":[135],"been":[136],"investigated":[137],"literature.":[140]},"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
