{"id":"https://openalex.org/W2072034064","doi":"https://doi.org/10.1109/tct.1968.1082820","title":"Topological Formulas for General Linear Networks","display_name":"Topological Formulas for General Linear Networks","publication_year":1968,"publication_date":"1968-01-01","ids":{"openalex":"https://openalex.org/W2072034064","doi":"https://doi.org/10.1109/tct.1968.1082820","mag":"2072034064"},"language":"en","primary_location":{"id":"doi:10.1109/tct.1968.1082820","doi":"https://doi.org/10.1109/tct.1968.1082820","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tct.1968.1082820","pdf_url":null,"source":{"id":"https://openalex.org/S73818907","display_name":"IEEE Transactions on Circuit Theory","issn_l":"0018-9324","issn":["0018-9324","2374-9555"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"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 Circuit Theory","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"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/A5064808044","display_name":"Maw-Tsuey Jong","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Maw-Tsuey Jong","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5008564994","display_name":"George W. Zobrist","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"G. Zobrist","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":3.9857,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.91855286,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":88,"max":93},"biblio":{"volume":"15","issue":"3","first_page":"251","last_page":"258"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12899","display_name":"Engineering and Technology Innovations","score":0.4690000116825104,"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/T12899","display_name":"Engineering and Technology Innovations","score":0.4690000116825104,"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/T10323","display_name":"Analog and Mixed-Signal Circuit Design","score":0.24819999933242798,"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/T11476","display_name":"Graph theory and applications","score":0.11800000071525574,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/topological-formulas","display_name":"topological formulas","score":0.8240000009536743},{"id":"https://openalex.org/keywords/network-functions","display_name":"network functions","score":0.9950000047683716},{"id":"https://openalex.org/keywords/dependent-sources","display_name":"dependent sources","score":0.9089999794960022},{"id":"https://openalex.org/keywords/gyrator","display_name":"gyrator","score":0.9959999918937683},{"id":"https://openalex.org/keywords/coupled-coils","display_name":"coupled coils","score":0.9950000047683716},{"id":"https://openalex.org/keywords/ideal-transformer","display_name":"ideal transformer","score":0.9980000257492065}],"concepts":[{"id":"https://openalex.org/C2780186347","wikidata":"https://www.wikidata.org/wiki/Q11414","display_name":"Subnetwork","level":2,"score":0.9663476347923279},{"id":"https://openalex.org/C2777742833","wikidata":"https://www.wikidata.org/wiki/Q1964083","display_name":"Reciprocal","level":2,"score":0.7565569877624512},{"id":"https://openalex.org/C103113521","wikidata":"https://www.wikidata.org/wiki/Q677197","display_name":"Gyrator","level":2,"score":0.68040531873703},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.6457091569900513},{"id":"https://openalex.org/C108811297","wikidata":"https://www.wikidata.org/wiki/Q214518","display_name":"Admittance","level":3,"score":0.6024248003959656},{"id":"https://openalex.org/C66322947","wikidata":"https://www.wikidata.org/wiki/Q11658","display_name":"Transformer","level":3,"score":0.46982836723327637},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4537712037563324},{"id":"https://openalex.org/C199845137","wikidata":"https://www.wikidata.org/wiki/Q145490","display_name":"Network topology","level":2,"score":0.4532907009124756},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4432344436645508},{"id":"https://openalex.org/C17829176","wikidata":"https://www.wikidata.org/wiki/Q179043","display_name":"Electrical impedance","level":2,"score":0.20002257823944092},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.15668925642967224},{"id":"https://openalex.org/C24326235","wikidata":"https://www.wikidata.org/wiki/Q126095","display_name":"Electronic engineering","level":1,"score":0.12795749306678772},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.12027397751808167},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.08957529067993164},{"id":"https://openalex.org/C165801399","wikidata":"https://www.wikidata.org/wiki/Q25428","display_name":"Voltage","level":2,"score":0.08540311455726624},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.07862585783004761},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tct.1968.1082820","doi":"https://doi.org/10.1109/tct.1968.1082820","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tct.1968.1082820","pdf_url":null,"source":{"id":"https://openalex.org/S73818907","display_name":"IEEE Transactions on Circuit Theory","issn_l":"0018-9324","issn":["0018-9324","2374-9555"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"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 Circuit Theory","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":19,"referenced_works":["https://openalex.org/W659038795","https://openalex.org/W1605496935","https://openalex.org/W1987801231","https://openalex.org/W1995302912","https://openalex.org/W2013499152","https://openalex.org/W2018402214","https://openalex.org/W2034722446","https://openalex.org/W2040309571","https://openalex.org/W2051112522","https://openalex.org/W2054708350","https://openalex.org/W2067151028","https://openalex.org/W2074099251","https://openalex.org/W2091801569","https://openalex.org/W2109401761","https://openalex.org/W2118705382","https://openalex.org/W2152955317","https://openalex.org/W2162735150","https://openalex.org/W2163465723","https://openalex.org/W2482828452"],"related_works":["https://openalex.org/W2129389452","https://openalex.org/W2109959194","https://openalex.org/W2067151028","https://openalex.org/W2040309571","https://openalex.org/W2011943489","https://openalex.org/W2027021925","https://openalex.org/W2091801569","https://openalex.org/W2162735150","https://openalex.org/W2169465512","https://openalex.org/W2058775463"],"abstract_inverted_index":{"A":[0],"method":[1],"is":[2,34],"presented":[3],"which":[4,16],"uses":[5],"topological":[6,52],"formulas":[7,53],"to":[8],"find":[9],"network":[10,33,56],"functions":[11,57],"for":[12],"general":[13,31],"linear":[14,32],"networks":[15],"may":[17],"contain":[18],"any":[19],"type":[20],"of":[21,45,60,64,72,83],"dependent":[22],"sources,":[23],"gyrators,":[24],"coupled":[25],"coils,":[26],"and":[27,41,78],"ideal":[28],"transformers.":[29],"The":[30,51],"divided":[35],"into":[36],"a":[37,42],"passive":[38,66,85],"reciprocal":[39,67,86],"subnetwork":[40,43],"consisting":[44],"the":[46,55,61,65,70,73,84],"active":[47,74],"and/or":[48,69,75],"nonreciprocal":[49,76],"elements.":[50],"express":[54],"in":[58],"terms":[59],"tree-admittance":[62],"products":[63,82],"subnetwork,":[68],"products'":[71],"elements":[77],"the(k":[79],"+":[80],"1)-tree":[81],"subnetwork.":[87]},"counts_by_year":[{"year":2019,"cited_by_count":1}],"updated_date":"2026-07-29T09:40:50.615796","created_date":"2016-06-24T00:00:00"}