{"id":"https://openalex.org/W1988452151","doi":"https://doi.org/10.1002/scj.4690170901","title":"Minimum separation layout for cmos circuits realizing tree\u2010shape monotone decreasing logic circuits","display_name":"Minimum separation layout for cmos circuits realizing tree\u2010shape monotone decreasing logic circuits","publication_year":1986,"publication_date":"1986-01-01","ids":{"openalex":"https://openalex.org/W1988452151","doi":"https://doi.org/10.1002/scj.4690170901","mag":"1988452151"},"language":"en","primary_location":{"id":"doi:10.1002/scj.4690170901","is_oa":false,"landing_page_url":"https://doi.org/10.1002/scj.4690170901","pdf_url":null,"source":{"id":"https://openalex.org/S58208175","display_name":"Systems and Computers in Japan","issn_l":"0882-1666","issn":["0882-1666","1520-684X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Systems and Computers in Japan","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/A5012625317","display_name":"Yoshifumi Manabe","orcid":"https://orcid.org/0000-0002-6312-257X"},"institutions":[{"id":"https://openalex.org/I2251713219","display_name":"NTT (Japan)","ror":"https://ror.org/00berct97","country_code":"JP","type":"company","lineage":["https://openalex.org/I2251713219"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Yoshifumi Manabe","raw_affiliation_strings":["NTT Electrical Communications Laboratories, Musashino, Japan 180"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"NTT Electrical Communications Laboratories, Musashino, Japan 180","institution_ids":["https://openalex.org/I2251713219"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5111729293","display_name":"Kenichi Hagihara","orcid":null},"institutions":[{"id":"https://openalex.org/I98285908","display_name":"The University of Osaka","ror":"https://ror.org/035t8zc32","country_code":"JP","type":"education","lineage":["https://openalex.org/I98285908"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Ken'Ichi Hagihara","raw_affiliation_strings":["Faculty of Engineering Science, Osaka University, Toyonaka, Japan 560"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Engineering Science, Osaka University, Toyonaka, Japan 560","institution_ids":["https://openalex.org/I98285908"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5112263709","display_name":"Nobuki Tokura","orcid":null},"institutions":[{"id":"https://openalex.org/I98285908","display_name":"The University of Osaka","ror":"https://ror.org/035t8zc32","country_code":"JP","type":"education","lineage":["https://openalex.org/I98285908"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Nobuki Tokura","raw_affiliation_strings":["Faculty of Engineering Science, Osaka University, Toyonaka, Japan 560"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Engineering Science, Osaka University, Toyonaka, Japan 560","institution_ids":["https://openalex.org/I98285908"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.10394882,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"17","issue":"9","first_page":"1","last_page":"10"},"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":0.9995999932289124,"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":0.9995999932289124,"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/T11522","display_name":"VLSI and FPGA Design Techniques","score":0.9966999888420105,"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":0.9948999881744385,"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/merge","display_name":"Merge (version control)","score":0.5942884683609009},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5220410823822021},{"id":"https://openalex.org/keywords/electronic-circuit","display_name":"Electronic circuit","score":0.517140805721283},{"id":"https://openalex.org/keywords/monotone-polygon","display_name":"Monotone polygon","score":0.467183381319046},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3704833984375},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.36911076307296753},{"id":"https://openalex.org/keywords/electrical-engineering","display_name":"Electrical engineering","score":0.13621830940246582},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.10799363255500793},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.08952635526657104},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.08457529544830322}],"concepts":[{"id":"https://openalex.org/C197129107","wikidata":"https://www.wikidata.org/wiki/Q1921621","display_name":"Merge (version control)","level":2,"score":0.5942884683609009},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5220410823822021},{"id":"https://openalex.org/C134146338","wikidata":"https://www.wikidata.org/wiki/Q1815901","display_name":"Electronic circuit","level":2,"score":0.517140805721283},{"id":"https://openalex.org/C2834757","wikidata":"https://www.wikidata.org/wiki/Q4925424","display_name":"Monotone polygon","level":2,"score":0.467183381319046},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3704833984375},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.36911076307296753},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.13621830940246582},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.10799363255500793},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.08952635526657104},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.08457529544830322}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1002/scj.4690170901","is_oa":false,"landing_page_url":"https://doi.org/10.1002/scj.4690170901","pdf_url":null,"source":{"id":"https://openalex.org/S58208175","display_name":"Systems and Computers in Japan","issn_l":"0882-1666","issn":["0882-1666","1520-684X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Systems and Computers in Japan","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":2,"referenced_works":["https://openalex.org/W1987067207","https://openalex.org/W4213214460"],"related_works":["https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W4245490552","https://openalex.org/W4225152035","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W1587224694","https://openalex.org/W2911598644","https://openalex.org/W2042127053"],"abstract_inverted_index":{"Abstract":[0],"In":[1,25],"CMOS":[2],"circuits":[3],"transistors":[4],"in":[5,84,130],"a":[6,14,27,58,85,111,131,156,159,167,179,196,207],"p\u2010MOS":[7],"circuit":[8,11,47,59,90,114,164],"and":[9,144,166,195,201,206],"n\u2010MOS":[10],"that":[12,78,123],"have":[13],"common":[15],"gate":[16],"input":[17],"are":[18,33,171],"often":[19],"placed":[20],"next":[21],"to":[22,41,44,55,134],"each":[23,96,216],"other.":[24],"such":[26],"case,":[28],"if":[29],"adjacent":[30],"diffusion":[31],"areas":[32],"of":[34,65,95,137,140,147,181,215,219],"the":[35,46,62,69,79,92,102,107,124,135,138,141,145,148,192,199,203,210,213],"same":[36],"potential,":[37],"it":[38,75],"is":[39,53,71,76,82,99,155,221],"possible":[40],"merge":[42,70],"them":[43],"reduce":[45],"area.":[48],"Therefore":[49],"an":[50],"important":[51],"problem":[52],"how":[54],"obtain":[56,191,202],"efficiently":[57],"layout":[60,180,197,208],"with":[61,198,209],"minimum":[63,80,108,193,204,211],"number":[64,94,139,146],"places":[66],"(separation)":[67],"where":[68,151],"impossible.":[72],"At":[73],"present,":[74],"known":[77],"separation":[81,109,184,194,205],"zero":[83],"tree\u2010shape":[86,160],"monotone":[87,161],"decreasing":[88,162],"logic":[89,97,149,163,217],"when":[91,158,212],"fan\u2010in":[93,214],"element":[98,218],"odd.":[100],"However,":[101],"time":[103,132],"complexity":[104],"for":[105,110],"obtaining":[106],"given":[112],"arbitrary":[113],"has":[115],"not":[116,176],"been":[117],"reported":[118],"yet.":[119],"This":[120],"paper":[121],"shows":[122],"following":[125],"problems":[126],"can":[127],"be":[128],"solved":[129],"linear":[133],"sum":[136],"logical":[142],"variables":[143],"elements":[150],"k":[152,170,185],"or":[153,175,186,223],"h":[154,222],"constant":[157],"C":[165,182,220],"nonnegative":[168],"integer":[169],"given,":[172],"determining":[173],"whether":[174],"there":[177],"exists":[178],"having":[183],"less.":[187,224],"If":[188],"one":[189],"exists,":[190],"minimum;":[200]},"counts_by_year":[],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
