{"id":"https://openalex.org/W2148089832","doi":"https://doi.org/10.1109/tec.1957.5222012","title":"The Theory of Nets","display_name":"The Theory of Nets","publication_year":1957,"publication_date":"1957-09-01","ids":{"openalex":"https://openalex.org/W2148089832","doi":"https://doi.org/10.1109/tec.1957.5222012","mag":"2148089832"},"language":"en","primary_location":{"id":"doi:10.1109/tec.1957.5222012","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tec.1957.5222012","pdf_url":null,"source":{"id":"https://openalex.org/S60436882","display_name":"IEEE Transactions on Electronic Computers","issn_l":"0367-7508","issn":["0367-7508"],"is_oa":false,"is_in_doaj":false,"is_core":false,"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 Electronic Computers","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/A5075911858","display_name":"Franz E. Hohn","orcid":null},"institutions":[{"id":"https://openalex.org/I2801919071","display_name":"University of Illinois System","ror":"https://ror.org/05e94g991","country_code":"US","type":"education","lineage":["https://openalex.org/I2801919071"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"F. E. Hohn","raw_affiliation_strings":["University of Illinois, Urbana, IL, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Illinois, Urbana, IL, USA","institution_ids":["https://openalex.org/I2801919071"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5029237377","display_name":"S. Seshu","orcid":null},"institutions":[{"id":"https://openalex.org/I2801919071","display_name":"University of Illinois System","ror":"https://ror.org/05e94g991","country_code":"US","type":"education","lineage":["https://openalex.org/I2801919071"]},{"id":"https://openalex.org/I70983195","display_name":"Syracuse University","ror":"https://ror.org/025r5qe02","country_code":"US","type":"education","lineage":["https://openalex.org/I70983195"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"S. Seshu","raw_affiliation_strings":["Syracuse University, Syracuse, NY, USA","University of Illinois, Urbana, IL, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Syracuse University, Syracuse, NY, USA","institution_ids":["https://openalex.org/I70983195"]},{"raw_affiliation_string":"University of Illinois, Urbana, IL, USA","institution_ids":["https://openalex.org/I2801919071"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5003979611","display_name":"D. D. Aufenkamp","orcid":null},"institutions":[{"id":"https://openalex.org/I1287521167","display_name":"Lockheed Martin (United States)","ror":"https://ror.org/026er9r08","country_code":"US","type":"company","lineage":["https://openalex.org/I1287521167"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"D. D. Aufenkamp","raw_affiliation_strings":["Lockheed Missile Systems Division, Sunnyvale, CA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Lockheed Missile Systems Division, Sunnyvale, CA, USA","institution_ids":["https://openalex.org/I1287521167"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":9.6224,"has_fulltext":false,"cited_by_count":44,"citation_normalized_percentile":{"value":0.97866149,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":null,"biblio":{"volume":"EC-6","issue":"3","first_page":"154","last_page":"161"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T12162","display_name":"Cellular Automata and Applications","score":0.9983000159263611,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T12029","display_name":"DNA and Biological Computing","score":0.9965000152587891,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.6925240159034729},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.678740918636322},{"id":"https://openalex.org/keywords/variety","display_name":"Variety (cybernetics)","score":0.5980857014656067},{"id":"https://openalex.org/keywords/graph-theory","display_name":"Graph theory","score":0.5920441150665283},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.5685818791389465},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.5196582078933716},{"id":"https://openalex.org/keywords/net","display_name":"Net (polyhedron)","score":0.48072126507759094},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.349199116230011},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.33434683084487915},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3160440921783447},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1815112829208374}],"concepts":[{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.6925240159034729},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.678740918636322},{"id":"https://openalex.org/C136197465","wikidata":"https://www.wikidata.org/wiki/Q1729295","display_name":"Variety (cybernetics)","level":2,"score":0.5980857014656067},{"id":"https://openalex.org/C88230418","wikidata":"https://www.wikidata.org/wiki/Q131476","display_name":"Graph theory","level":2,"score":0.5920441150665283},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.5685818791389465},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5196582078933716},{"id":"https://openalex.org/C14166107","wikidata":"https://www.wikidata.org/wiki/Q253829","display_name":"Net (polyhedron)","level":2,"score":0.48072126507759094},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.349199116230011},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.33434683084487915},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3160440921783447},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1815112829208374},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tec.1957.5222012","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tec.1957.5222012","pdf_url":null,"source":{"id":"https://openalex.org/S60436882","display_name":"IEEE Transactions on Electronic Computers","issn_l":"0367-7508","issn":["0367-7508"],"is_oa":false,"is_in_doaj":false,"is_core":false,"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 Electronic Computers","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":25,"referenced_works":["https://openalex.org/W156955290","https://openalex.org/W222727035","https://openalex.org/W1970871468","https://openalex.org/W1981502496","https://openalex.org/W1985241583","https://openalex.org/W2000393536","https://openalex.org/W2004459113","https://openalex.org/W2010307518","https://openalex.org/W2014738319","https://openalex.org/W2051866164","https://openalex.org/W2061108769","https://openalex.org/W2069087105","https://openalex.org/W2075773711","https://openalex.org/W2089904802","https://openalex.org/W2112463242","https://openalex.org/W2126160338","https://openalex.org/W2150477894","https://openalex.org/W2152971731","https://openalex.org/W2315880903","https://openalex.org/W2320295636","https://openalex.org/W2327177511","https://openalex.org/W2331664353","https://openalex.org/W2604272341","https://openalex.org/W3177082579","https://openalex.org/W4250266778"],"related_works":["https://openalex.org/W2808944898","https://openalex.org/W3196207352","https://openalex.org/W2951724202","https://openalex.org/W3084261076","https://openalex.org/W4387820098","https://openalex.org/W1996614773","https://openalex.org/W2576399385","https://openalex.org/W2963408011","https://openalex.org/W4236324517","https://openalex.org/W1586813864"],"abstract_inverted_index":{"This":[0],"paper":[1],"presents":[2],"the":[3,21,45,68,76,79],"general":[4],"concept":[5],"of":[6,23,33,42,48,78,81],"a":[7,14,24,30,49],"weighted":[8],"directed":[9],"graph":[10],"which":[11],"we":[12],"call":[13],"net.":[15],"Illustrative":[16],"examples":[17],"leading":[18],"up":[19],"to":[20,29,59],"definition":[22],"net":[25,50],"indicate":[26],"its":[27],"applicability":[28],"wide":[31],"variety":[32],"problems":[34],"in":[35,75],"communication":[36],"and":[37,62],"network":[38],"theory.":[39],"A":[40,53],"number":[41],"theorems":[43],"concerning":[44],"proper":[46],"paths":[47],"are":[51],"established.":[52],"non-arithmetic":[54],"matrix":[55],"calculus":[56],"is":[57],"developed":[58],"facilitate":[60],"computations":[61],"formalize":[63],"proofs.":[64],"In":[65],"later":[66],"papers,":[67],"techniques":[69],"presented":[70],"here":[71],"will":[72],"be":[73],"exploited":[74],"study":[77],"theory":[80],"sequential":[82],"machines.":[83]},"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2016-06-24T00:00:00"}
