{"id":"https://openalex.org/W1972623104","doi":"https://doi.org/10.1002/net.3230150105","title":"A routing procedure for an IC module with many pins\u2014a solution to a circular permutation layout problem","display_name":"A routing procedure for an IC module with many pins\u2014a solution to a circular permutation layout problem","publication_year":1985,"publication_date":"1985-03-01","ids":{"openalex":"https://openalex.org/W1972623104","doi":"https://doi.org/10.1002/net.3230150105","mag":"1972623104"},"language":"en","primary_location":{"id":"doi:10.1002/net.3230150105","is_oa":false,"landing_page_url":"https://doi.org/10.1002/net.3230150105","pdf_url":null,"source":{"id":"https://openalex.org/S191798613","display_name":"Networks","issn_l":"0028-3045","issn":["0028-3045","1097-0037"],"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":"Networks","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/A5108196794","display_name":"Takao Ozawa","orcid":null},"institutions":[{"id":"https://openalex.org/I22299242","display_name":"Kyoto University","ror":"https://ror.org/02kpeqv85","country_code":"JP","type":"education","lineage":["https://openalex.org/I22299242"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Takao Ozawa","raw_affiliation_strings":["Department of Electrical Engineering, Kyoto University, Kyoto, 606 Japan","Department of Electrical Engineering , Kyoto University , Kyoto, 606, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Kyoto University, Kyoto, 606 Japan","institution_ids":["https://openalex.org/I22299242"]},{"raw_affiliation_string":"Department of Electrical Engineering , Kyoto University , Kyoto, 606, Japan","institution_ids":["https://openalex.org/I22299242"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5108196794"],"corresponding_institution_ids":["https://openalex.org/I22299242"],"apc_list":{"value":3400,"currency":"USD","value_usd":3400},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.08457624,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"15","issue":"1","first_page":"33","last_page":"48"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11522","display_name":"VLSI and FPGA Design Techniques","score":0.9973000288009644,"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":0.9973000288009644,"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/T12176","display_name":"Optimization and Packing Problems","score":0.991100013256073,"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/T11032","display_name":"VLSI and Analog Circuit Testing","score":0.9883000254631042,"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/routing","display_name":"Routing (electronic design automation)","score":0.762954831123352},{"id":"https://openalex.org/keywords/permutation","display_name":"Permutation (music)","score":0.6683095097541809},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5453115105628967},{"id":"https://openalex.org/keywords/recursion","display_name":"Recursion (computer science)","score":0.48758572340011597},{"id":"https://openalex.org/keywords/multipath-routing","display_name":"Multipath routing","score":0.4871949553489685},{"id":"https://openalex.org/keywords/equal-cost-multi-path-routing","display_name":"Equal-cost multi-path routing","score":0.4244422912597656},{"id":"https://openalex.org/keywords/process","display_name":"Process (computing)","score":0.4187842011451721},{"id":"https://openalex.org/keywords/static-routing","display_name":"Static routing","score":0.4076415002346039},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.36222246289253235},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.33678698539733887},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.2598210573196411},{"id":"https://openalex.org/keywords/routing-protocol","display_name":"Routing protocol","score":0.11295321583747864},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.05996030569076538}],"concepts":[{"id":"https://openalex.org/C74172769","wikidata":"https://www.wikidata.org/wiki/Q1446839","display_name":"Routing (electronic design automation)","level":2,"score":0.762954831123352},{"id":"https://openalex.org/C21308566","wikidata":"https://www.wikidata.org/wiki/Q7169365","display_name":"Permutation (music)","level":2,"score":0.6683095097541809},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5453115105628967},{"id":"https://openalex.org/C168773036","wikidata":"https://www.wikidata.org/wiki/Q264164","display_name":"Recursion (computer science)","level":2,"score":0.48758572340011597},{"id":"https://openalex.org/C76522221","wikidata":"https://www.wikidata.org/wiki/Q5035396","display_name":"Multipath routing","level":5,"score":0.4871949553489685},{"id":"https://openalex.org/C115443555","wikidata":"https://www.wikidata.org/wiki/Q5367790","display_name":"Equal-cost multi-path routing","level":5,"score":0.4244422912597656},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.4187842011451721},{"id":"https://openalex.org/C204948658","wikidata":"https://www.wikidata.org/wiki/Q1119410","display_name":"Static routing","level":4,"score":0.4076415002346039},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.36222246289253235},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.33678698539733887},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.2598210573196411},{"id":"https://openalex.org/C104954878","wikidata":"https://www.wikidata.org/wiki/Q1648707","display_name":"Routing protocol","level":3,"score":0.11295321583747864},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.05996030569076538},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","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":1,"locations":[{"id":"doi:10.1002/net.3230150105","is_oa":false,"landing_page_url":"https://doi.org/10.1002/net.3230150105","pdf_url":null,"source":{"id":"https://openalex.org/S191798613","display_name":"Networks","issn_l":"0028-3045","issn":["0028-3045","1097-0037"],"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":"Networks","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/W1966283864","https://openalex.org/W4239272098"],"related_works":["https://openalex.org/W2181601090","https://openalex.org/W3127002380","https://openalex.org/W2068473861","https://openalex.org/W757657516","https://openalex.org/W2351878639","https://openalex.org/W2539097916","https://openalex.org/W2148093630","https://openalex.org/W2136173851","https://openalex.org/W4253436398","https://openalex.org/W2124642421"],"abstract_inverted_index":{"Abstract":[0],"This":[1,135],"article":[2],"considers":[3],"routing":[4,53,62,102,119,144,153,175],"for":[5,19,145],"an":[6,21],"IC":[7,22],"module":[8,23,83,147],"with":[9],"many":[10],"pins":[11,35,40,71,95,212],"which":[12],"is":[13,28,59,72,96,113,117,125,137,148,154,208],"mounted":[14],"on":[15,84],"a":[16,64,104,121,172,222,225],"board.":[17,86],"Routing":[18],"such":[20],"must":[24],"be":[25,90,219],"planar.":[26],"It":[27],"also":[29],"constrained":[30],"by":[31],"the":[32,37,50,78,82,85,92,111,131,142,146,157,160,165,168,178,188,192,203,209,214],"order":[33,75],"of":[34,43,49,81,94,110,130,167,191,211,213],"and":[36,170,187,199],"congestion":[38],"between":[39,46,68],"(the":[41],"number":[42,210],"wires":[44],"passing":[45,67],"adjacent":[47,70],"pins)":[48],"module.":[51,215],"The":[52,184,216],"procedure":[54,161,193,217],"presented":[55],"in":[56,74,108,128,156,202],"this":[57,88,116],"paper":[58],"recursive:":[60],"First,":[61],"to":[63,76,103,120,164,224],"particular":[65],"pin":[66,105,122],"two":[69,99,107,124],"tried":[73,126],"fix":[77],"relative":[79],"position":[80],"If":[87,115,150],"can":[89,218],"done,":[91],"set":[93],"divided":[97],"into":[98],"subsets.":[100,134],"Then":[101],"or":[106,123],"each":[109,129],"subsets":[112],"tried.":[114],"successful,":[118],"again":[127],"resulting":[132],"smaller":[133],"process":[136],"repeated,":[138],"if":[139],"possible,":[140],"until":[141,176],"entire":[143],"completed.":[149],"no":[151],"legal":[152],"found":[155],"recursion":[158,169],"process,":[159],"goes":[162],"back":[163],"beginning":[166],"tries":[171],"new":[173],"initial":[174,180],"all":[177],"possible":[179],"routings":[181],"are":[182,194],"exhausted.":[183],"time":[185],"complexity":[186,190],"space":[189],"O(":[195],"l":[196,207],"2":[197],")":[198],"O(l),":[200],"respectively,":[201],"worst":[204],"case":[205],"where":[206],"regarded":[220],"as":[221],"solution":[223],"circular":[226],"permutation":[227],"layout":[228],"problem.":[229]},"counts_by_year":[],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
