{"id":"https://openalex.org/W4200053984","doi":"https://doi.org/10.1109/csit52700.2021.9648742","title":"A set of nets planarization with two chains of contacts","display_name":"A set of nets planarization with two chains of contacts","publication_year":2021,"publication_date":"2021-09-22","ids":{"openalex":"https://openalex.org/W4200053984","doi":"https://doi.org/10.1109/csit52700.2021.9648742"},"language":"en","primary_location":{"id":"doi:10.1109/csit52700.2021.9648742","is_oa":false,"landing_page_url":"https://doi.org/10.1109/csit52700.2021.9648742","pdf_url":null,"source":{"id":"https://openalex.org/S4363608067","display_name":"2021 IEEE 16th International Conference on Computer Sciences and Information Technologies (CSIT)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2021 IEEE 16th International Conference on Computer Sciences and Information Technologies (CSIT)","raw_type":"proceedings-article"},"type":"conference-paper","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/A5088530992","display_name":"Roman Bazylevych","orcid":"https://orcid.org/0000-0002-7949-1353"},"institutions":[{"id":"https://openalex.org/I98435010","display_name":"Lviv Polytechnic National University","ror":"https://ror.org/0542q3127","country_code":"UA","type":"education","lineage":["https://openalex.org/I98435010"]}],"countries":["UA"],"is_corresponding":false,"raw_author_name":"Roman Bazylevych","raw_affiliation_strings":["Department of Software, Lviv Polytechnic National University, Lviv, Ukraine"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Software, Lviv Polytechnic National University, Lviv, Ukraine","institution_ids":["https://openalex.org/I98435010"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5068584153","display_name":"Lubov Bazylevych","orcid":null},"institutions":[{"id":"https://openalex.org/I4210145787","display_name":"Pidstryhach Institute for Applied Problems of Mechanics and Mathematics","ror":"https://ror.org/05dry3213","country_code":"UA","type":"facility","lineage":["https://openalex.org/I149851306","https://openalex.org/I4210145787"]}],"countries":["UA"],"is_corresponding":false,"raw_author_name":"Lubov Bazylevych","raw_affiliation_strings":["Institute of Applied Problems of Mechanics and Mathematics of NASU, Lviv, Ukraine"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Applied Problems of Mechanics and Mathematics of NASU, Lviv, Ukraine","institution_ids":["https://openalex.org/I4210145787"]}]}],"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":0.17000958,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"6","issue":null,"first_page":"202","last_page":"205"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12923","display_name":"Digital Image Processing Techniques","score":0.9970999956130981,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/T12923","display_name":"Digital Image Processing Techniques","score":0.9970999956130981,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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":0.9958000183105469,"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/T11159","display_name":"Manufacturing Process and Optimization","score":0.9918000102043152,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/chemical-mechanical-planarization","display_name":"Chemical-mechanical planarization","score":0.8930771350860596},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5332934856414795},{"id":"https://openalex.org/keywords/planar","display_name":"Planar","score":0.5202739834785461},{"id":"https://openalex.org/keywords/grid","display_name":"Grid","score":0.5136253237724304},{"id":"https://openalex.org/keywords/electronic-design-automation","display_name":"Electronic design automation","score":0.46967560052871704},{"id":"https://openalex.org/keywords/path","display_name":"Path (computing)","score":0.4577547311782837},{"id":"https://openalex.org/keywords/electronic-circuit","display_name":"Electronic circuit","score":0.4557092785835266},{"id":"https://openalex.org/keywords/automation","display_name":"Automation","score":0.4522923529148102},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.41896528005599976},{"id":"https://openalex.org/keywords/ball","display_name":"Ball (mathematics)","score":0.4136180281639099},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.41322046518325806},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.33022627234458923},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.17902901768684387},{"id":"https://openalex.org/keywords/electrical-engineering","display_name":"Electrical engineering","score":0.16853275895118713},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.15366768836975098},{"id":"https://openalex.org/keywords/polishing","display_name":"Polishing","score":0.1211114227771759},{"id":"https://openalex.org/keywords/embedded-system","display_name":"Embedded system","score":0.11921995878219604},{"id":"https://openalex.org/keywords/mechanical-engineering","display_name":"Mechanical engineering","score":0.09181004762649536},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.08885177969932556},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.07999047636985779}],"concepts":[{"id":"https://openalex.org/C180088628","wikidata":"https://www.wikidata.org/wiki/Q1069404","display_name":"Chemical-mechanical planarization","level":3,"score":0.8930771350860596},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5332934856414795},{"id":"https://openalex.org/C134786449","wikidata":"https://www.wikidata.org/wiki/Q3391255","display_name":"Planar","level":2,"score":0.5202739834785461},{"id":"https://openalex.org/C187691185","wikidata":"https://www.wikidata.org/wiki/Q2020720","display_name":"Grid","level":2,"score":0.5136253237724304},{"id":"https://openalex.org/C64260653","wikidata":"https://www.wikidata.org/wiki/Q1194864","display_name":"Electronic design automation","level":2,"score":0.46967560052871704},{"id":"https://openalex.org/C2777735758","wikidata":"https://www.wikidata.org/wiki/Q817765","display_name":"Path (computing)","level":2,"score":0.4577547311782837},{"id":"https://openalex.org/C134146338","wikidata":"https://www.wikidata.org/wiki/Q1815901","display_name":"Electronic circuit","level":2,"score":0.4557092785835266},{"id":"https://openalex.org/C115901376","wikidata":"https://www.wikidata.org/wiki/Q184199","display_name":"Automation","level":2,"score":0.4522923529148102},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.41896528005599976},{"id":"https://openalex.org/C122041747","wikidata":"https://www.wikidata.org/wiki/Q838611","display_name":"Ball (mathematics)","level":2,"score":0.4136180281639099},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.41322046518325806},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.33022627234458923},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.17902901768684387},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.16853275895118713},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.15366768836975098},{"id":"https://openalex.org/C138113353","wikidata":"https://www.wikidata.org/wiki/Q611639","display_name":"Polishing","level":2,"score":0.1211114227771759},{"id":"https://openalex.org/C149635348","wikidata":"https://www.wikidata.org/wiki/Q193040","display_name":"Embedded system","level":1,"score":0.11921995878219604},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.09181004762649536},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.08885177969932556},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.07999047636985779},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/csit52700.2021.9648742","is_oa":false,"landing_page_url":"https://doi.org/10.1109/csit52700.2021.9648742","pdf_url":null,"source":{"id":"https://openalex.org/S4363608067","display_name":"2021 IEEE 16th International Conference on Computer Sciences and Information Technologies (CSIT)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2021 IEEE 16th International Conference on Computer Sciences and Information Technologies (CSIT)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W648741105","https://openalex.org/W1519244190","https://openalex.org/W1520127302","https://openalex.org/W1596502788","https://openalex.org/W1875640138","https://openalex.org/W1908738628","https://openalex.org/W2011039300","https://openalex.org/W2021496690","https://openalex.org/W2024491681","https://openalex.org/W2048361468","https://openalex.org/W2140411614","https://openalex.org/W2465509162","https://openalex.org/W3121469970","https://openalex.org/W3162493965","https://openalex.org/W4243981176","https://openalex.org/W7016091377","https://openalex.org/W7066710765"],"related_works":["https://openalex.org/W2350003910","https://openalex.org/W1481257890","https://openalex.org/W1999768459","https://openalex.org/W2489206082","https://openalex.org/W2130148791","https://openalex.org/W2163264803","https://openalex.org/W2468495246","https://openalex.org/W1495339469","https://openalex.org/W74903192","https://openalex.org/W3214257365"],"abstract_inverted_index":{"An":[0],"efficient":[1],"approach":[2],"for":[3,26,35,136],"finding":[4],"all":[5,126],"maximal":[6],"and":[7,44,49,69,128],"close":[8,129],"to":[9,87,99,121,130],"them":[10],"planar":[11],"subsets":[12],"of":[13,31,58,61,83,102,110],"nets":[14,111],"with":[15],"contacts":[16,64],"on":[17,65,73,92],"two":[18,59,77],"chains":[19],"has":[20],"been":[21],"developed.":[22],"It":[23],"is":[24,86],"useful":[25],"the":[27,36,76,84,89,93,100,107,134],"physical":[28],"design":[29,139],"automation":[30],"electronic":[32],"devices,":[33],"spefically":[34],"printed":[37],"circuit":[38],"board,":[39],"system-on-a-chip,":[40],"integrated":[41],"circuits,":[42],"thin":[43],"fine":[45],"ball":[46],"grid":[47],"arrays,":[48],"others.":[50],"The":[51,81,118],"proposed":[52],"approach,":[53],"unlike":[54],"other":[55,138],"methods,":[56],"uses":[57],"types":[60],"relations":[62,75],"between":[63],"chains:":[66],"strict":[67,70],"direct":[68],"inverse.":[71],"Based":[72],"these":[74],"graphs":[78],"are":[79],"constructed.":[80],"solution":[82],"problem":[85],"find":[88,122],"longest":[90],"paths":[91],"graphs.":[94],"Each":[95],"such":[96],"path":[97],"corresponds":[98],"one":[101],"possible":[103],"optimal":[104,127],"solutions,":[105,124],"i.e.,":[106],"largest":[108],"number":[109],"that":[112],"can":[113],"be":[114],"layed":[115],"without":[116],"intersections.":[117],"method":[119],"allows":[120],"different":[123],"as":[125],"them,":[131],"which":[132],"creates":[133],"conditions":[135],"considering":[137],"requirements":[140],"besides":[141],"planarization.":[142]},"counts_by_year":[],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}