{"id":"https://openalex.org/W2103665038","doi":"https://doi.org/10.1002/net.3230110411","title":"Some theoretical results in multiple path definition in networks","display_name":"Some theoretical results in multiple path definition in networks","publication_year":1981,"publication_date":"1981-12-01","ids":{"openalex":"https://openalex.org/W2103665038","doi":"https://doi.org/10.1002/net.3230110411","mag":"2103665038"},"language":"en","primary_location":{"id":"doi:10.1002/net.3230110411","is_oa":false,"landing_page_url":"https://doi.org/10.1002/net.3230110411","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/A5084200296","display_name":"Franklin H. Moss","orcid":null},"institutions":[{"id":"https://openalex.org/I4210114115","display_name":"IBM Research - Thomas J. Watson Research Center","ror":"https://ror.org/0265w5591","country_code":"US","type":"facility","lineage":["https://openalex.org/I1341412227","https://openalex.org/I4210114115"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Franklin H. Moss","raw_affiliation_strings":["IBM T. J. Watson Research Center, Yorktown Heights, New York 10598"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"IBM T. J. Watson Research Center, Yorktown Heights, New York 10598","institution_ids":["https://openalex.org/I4210114115"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5111465284","display_name":"Philip M. Merlin","orcid":null},"institutions":[{"id":"https://openalex.org/I174306211","display_name":"Technion \u2013 Israel Institute of Technology","ror":"https://ror.org/03qryx823","country_code":"IL","type":"education","lineage":["https://openalex.org/I174306211"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Philip M. Merlin","raw_affiliation_strings":["Department of Electrical Engineering, Technion, Haifa, Israel","Department of Electrical Engineering Technion, Haifa, Israel"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Technion, Haifa, Israel","institution_ids":["https://openalex.org/I174306211"]},{"raw_affiliation_string":"Department of Electrical Engineering Technion, Haifa, Israel","institution_ids":["https://openalex.org/I174306211"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5084200296"],"corresponding_institution_ids":["https://openalex.org/I4210114115"],"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":0.23401063,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"11","issue":"4","first_page":"401","last_page":"411"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10847","display_name":"Advanced Optical Network Technologies","score":1.0,"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/T10847","display_name":"Advanced Optical Network Technologies","score":1.0,"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/T10829","display_name":"Interconnection Networks and Systems","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T10138","display_name":"Network Traffic and Congestion Control","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/path","display_name":"Path (computing)","score":0.6386563777923584},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6099047064781189},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.6067426204681396},{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.605592668056488},{"id":"https://openalex.org/keywords/routing","display_name":"Routing (electronic design automation)","score":0.5786332488059998},{"id":"https://openalex.org/keywords/network-packet","display_name":"Network packet","score":0.5033285021781921},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.4679006338119507},{"id":"https://openalex.org/keywords/network-topology","display_name":"Network topology","score":0.45087122917175293},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4245506227016449},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4069669246673584},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3585662245750427},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.23405751585960388},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.0979108214378357}],"concepts":[{"id":"https://openalex.org/C2777735758","wikidata":"https://www.wikidata.org/wiki/Q817765","display_name":"Path (computing)","level":2,"score":0.6386563777923584},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6099047064781189},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.6067426204681396},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.605592668056488},{"id":"https://openalex.org/C74172769","wikidata":"https://www.wikidata.org/wiki/Q1446839","display_name":"Routing (electronic design automation)","level":2,"score":0.5786332488059998},{"id":"https://openalex.org/C158379750","wikidata":"https://www.wikidata.org/wiki/Q214111","display_name":"Network packet","level":2,"score":0.5033285021781921},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.4679006338119507},{"id":"https://openalex.org/C199845137","wikidata":"https://www.wikidata.org/wiki/Q145490","display_name":"Network topology","level":2,"score":0.45087122917175293},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4245506227016449},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4069669246673584},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3585662245750427},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.23405751585960388},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0979108214378357},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1002/net.3230110411","is_oa":false,"landing_page_url":"https://doi.org/10.1002/net.3230110411","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":3,"referenced_works":["https://openalex.org/W2011282943","https://openalex.org/W2089957823","https://openalex.org/W2131840823"],"related_works":["https://openalex.org/W2086397253","https://openalex.org/W2133122801","https://openalex.org/W600422426","https://openalex.org/W2007156430","https://openalex.org/W2170882281","https://openalex.org/W3081478936","https://openalex.org/W1975289146","https://openalex.org/W2785612136","https://openalex.org/W1539291615","https://openalex.org/W2027014711"],"abstract_inverted_index":{"Abstract":[0],"This":[1],"paper":[2],"is":[3,24,32],"concerned":[4],"with":[5],"the":[6,30,57,64,90],"problem":[7,31],"of":[8,15,59,66,71,77],"defining":[9],"K":[10],"multiple":[11],"paths":[12,72,88],"between":[13],"pairs":[14],"nodes":[16],"in":[17,41],"a":[18,26,35,60,81],"network.":[19],"The":[20,75],"treatment":[21],"presented":[22,49],"here":[23],"on":[25,56],"theoretical":[27],"level,":[28],"although":[29],"motivated":[33],"by":[34],"practical":[36],"scheme":[37],"for":[38,85],"message":[39],"routing":[40],"store\u2010and\u2010forward":[42],"packet":[43],"switched":[44],"computer":[45],"networks.":[46],"Theorems":[47],"are":[48,93],"which":[50,62],"offer":[51],"readily":[52],"testable":[53],"sufficient":[54,91],"conditions":[55,92],"topology":[58],"network":[61],"guarantee":[63],"existence":[65],"at":[67],"least":[68],"one":[69],"set":[70],"under":[73],"consideration.":[74],"proof":[76],"this":[78],"theorem":[79],"provides":[80],"generalized":[82],"systematic":[83],"method":[84],"constructing":[86],"these":[87],"if":[89],"met.":[94]},"counts_by_year":[],"updated_date":"2026-05-21T09:19:25.381259","created_date":"2025-10-10T00:00:00"}
