{"id":"https://openalex.org/W2047154829","doi":"https://doi.org/10.1002/net.3230220206","title":"A reliability\u2010improving graph transformation with applications to network reliability","display_name":"A reliability\u2010improving graph transformation with applications to network reliability","publication_year":1992,"publication_date":"1992-03-01","ids":{"openalex":"https://openalex.org/W2047154829","doi":"https://doi.org/10.1002/net.3230220206","mag":"2047154829"},"language":"en","primary_location":{"id":"doi:10.1002/net.3230220206","is_oa":false,"landing_page_url":"https://doi.org/10.1002/net.3230220206","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/A5043170226","display_name":"A. Satyanarayana","orcid":null},"institutions":[{"id":"https://openalex.org/I108468826","display_name":"Stevens Institute of Technology","ror":"https://ror.org/02z43xh36","country_code":"US","type":"education","lineage":["https://openalex.org/I108468826"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"A. Satyanarayana","raw_affiliation_strings":["Stevens Institute of Technology Hoboken, New Jersey 07030","Stevens Institute of Technology , Hoboken, New Jersey, 07030"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Stevens Institute of Technology Hoboken, New Jersey 07030","institution_ids":["https://openalex.org/I108468826"]},{"raw_affiliation_string":"Stevens Institute of Technology , Hoboken, New Jersey, 07030","institution_ids":["https://openalex.org/I108468826"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5021897983","display_name":"L. Schoppmann","orcid":null},"institutions":[{"id":"https://openalex.org/I108468826","display_name":"Stevens Institute of Technology","ror":"https://ror.org/02z43xh36","country_code":"US","type":"education","lineage":["https://openalex.org/I108468826"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"L. Schoppmann","raw_affiliation_strings":["Stevens Institute of Technology Hoboken, New Jersey 07030","Stevens Institute of Technology , Hoboken, New Jersey, 07030"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Stevens Institute of Technology Hoboken, New Jersey 07030","institution_ids":["https://openalex.org/I108468826"]},{"raw_affiliation_string":"Stevens Institute of Technology , Hoboken, New Jersey, 07030","institution_ids":["https://openalex.org/I108468826"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5020820519","display_name":"C Suffel","orcid":null},"institutions":[{"id":"https://openalex.org/I108468826","display_name":"Stevens Institute of Technology","ror":"https://ror.org/02z43xh36","country_code":"US","type":"education","lineage":["https://openalex.org/I108468826"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"C. L. Suffel","raw_affiliation_strings":["Stevens Institute of Technology Hoboken, New Jersey 07030","Stevens Institute of Technology , Hoboken, New Jersey, 07030"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Stevens Institute of Technology Hoboken, New Jersey 07030","institution_ids":["https://openalex.org/I108468826"]},{"raw_affiliation_string":"Stevens Institute of Technology , Hoboken, New Jersey, 07030","institution_ids":["https://openalex.org/I108468826"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5043170226"],"corresponding_institution_ids":["https://openalex.org/I108468826"],"apc_list":{"value":3400,"currency":"USD","value_usd":3400},"apc_paid":null,"fwci":4.4045,"has_fulltext":false,"cited_by_count":45,"citation_normalized_percentile":{"value":0.93911757,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"22","issue":"2","first_page":"209","last_page":"216"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10780","display_name":"Reliability and Maintenance Optimization","score":0.9909999966621399,"subfield":{"id":"https://openalex.org/subfields/2213","display_name":"Safety, Risk, Reliability and Quality"},"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/T10780","display_name":"Reliability and Maintenance Optimization","score":0.9909999966621399,"subfield":{"id":"https://openalex.org/subfields/2213","display_name":"Safety, Risk, Reliability and Quality"},"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/combinatorics","display_name":"Combinatorics","score":0.7071647644042969},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5628625154495239},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.552081286907196},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.5361082553863525},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.5070335865020752},{"id":"https://openalex.org/keywords/strength-of-a-graph","display_name":"Strength of a graph","score":0.46337810158729553},{"id":"https://openalex.org/keywords/complement-graph","display_name":"Complement graph","score":0.46308499574661255},{"id":"https://openalex.org/keywords/null-graph","display_name":"Null graph","score":0.4612599313259125},{"id":"https://openalex.org/keywords/connectivity","display_name":"Connectivity","score":0.4516174793243408},{"id":"https://openalex.org/keywords/butterfly-graph","display_name":"Butterfly graph","score":0.4341754615306854},{"id":"https://openalex.org/keywords/spanning-tree","display_name":"Spanning tree","score":0.4327438175678253},{"id":"https://openalex.org/keywords/graph-factorization","display_name":"Graph factorization","score":0.41904813051223755},{"id":"https://openalex.org/keywords/graph-power","display_name":"Graph power","score":0.3712061047554016},{"id":"https://openalex.org/keywords/voltage-graph","display_name":"Voltage graph","score":0.3378910720348358}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7071647644042969},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5628625154495239},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.552081286907196},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5361082553863525},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5070335865020752},{"id":"https://openalex.org/C19332903","wikidata":"https://www.wikidata.org/wiki/Q7623247","display_name":"Strength of a graph","level":5,"score":0.46337810158729553},{"id":"https://openalex.org/C168291704","wikidata":"https://www.wikidata.org/wiki/Q902252","display_name":"Complement graph","level":5,"score":0.46308499574661255},{"id":"https://openalex.org/C17169500","wikidata":"https://www.wikidata.org/wiki/Q3033506","display_name":"Null graph","level":5,"score":0.4612599313259125},{"id":"https://openalex.org/C76444178","wikidata":"https://www.wikidata.org/wiki/Q72897900","display_name":"Connectivity","level":3,"score":0.4516174793243408},{"id":"https://openalex.org/C18819970","wikidata":"https://www.wikidata.org/wiki/Q3035340","display_name":"Butterfly graph","level":5,"score":0.4341754615306854},{"id":"https://openalex.org/C64331007","wikidata":"https://www.wikidata.org/wiki/Q831672","display_name":"Spanning tree","level":2,"score":0.4327438175678253},{"id":"https://openalex.org/C128115575","wikidata":"https://www.wikidata.org/wiki/Q5597083","display_name":"Graph factorization","level":5,"score":0.41904813051223755},{"id":"https://openalex.org/C149530733","wikidata":"https://www.wikidata.org/wiki/Q5597091","display_name":"Graph power","level":4,"score":0.3712061047554016},{"id":"https://openalex.org/C22149727","wikidata":"https://www.wikidata.org/wiki/Q7940747","display_name":"Voltage graph","level":4,"score":0.3378910720348358}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1002/net.3230220206","is_oa":false,"landing_page_url":"https://doi.org/10.1002/net.3230220206","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":8,"referenced_works":["https://openalex.org/W1985099574","https://openalex.org/W2079375590","https://openalex.org/W2080875657","https://openalex.org/W2102406336","https://openalex.org/W2143474538","https://openalex.org/W2320198223","https://openalex.org/W2328755268","https://openalex.org/W6670999497"],"related_works":["https://openalex.org/W2278094798","https://openalex.org/W2900680118","https://openalex.org/W3175246409","https://openalex.org/W2371151138","https://openalex.org/W2071056049","https://openalex.org/W2014355235","https://openalex.org/W2065459306","https://openalex.org/W2108781142","https://openalex.org/W2048112267","https://openalex.org/W2900755677"],"abstract_inverted_index":{"Abstract":[0],"This":[1],"paper":[2],"considers":[3],"a":[4,42,131,160],"probabilistic":[5],"graph":[6,30,66,89,104,156,162],"in":[7,33,61],"which":[8],"the":[9,15,38,56,88,97,107,127,136,165],"points":[10,111,169],"are":[11],"perfectly":[12],"reliable":[13],"but":[14],"edges":[16,40,95,113,171],"operate":[17],"independently":[18],"of":[19,46,53,110,135,168],"one":[20],"another,":[21],"all":[22,120,180],"with":[23,106,164],"some":[24],"known":[25],"probability":[26,57],"p":[27,123,183],".":[28,48,148],"The":[29,49],"G":[31,47,54,59,105,147,157,173],"is":[32,55,60,72,76,87,152],"an":[34,62],"operating":[35,63],"state":[36],"if":[37,85],"surviving":[39],"induce":[41],"spanning":[43,143],"connected":[44],"subgraph":[45],"all\u2010terminal":[50],"reliability":[51],"R(G,p)":[52,118,178],"that":[58,78,139,153,175],"state.":[64],"A":[65],"transformation,":[67],"called":[68],"\u201cthe":[69],"swing":[70,128],"surgery,\u201d":[71],"introduced,":[73],"and":[74,112,170],"it":[75],"shown":[77],"this":[79],"surgery":[80,129],"has":[81,141],"important":[82,150],"properties.":[83],"First,":[84],"H":[86,140],"obtained":[90],"by":[91],"deleting":[92],"m":[93],"independent":[94],"from":[96],"complete":[98],"graph,":[99],"then":[100],"for":[101,119,179],"any":[102,155],"other":[103],"same":[108,166],"number":[109,167],"as":[114,172],"H,":[115],"R(H,p)":[116],"&gt;":[117],"0":[121,181],"&lt;":[122,124,182,184],"1.":[125,185],"Moreover,":[126],"yields":[130],"simple":[132],"topological":[133],"proof":[134],"well\u2010known":[137],"result":[138],"more":[142],"trees":[144],"than":[145],"does":[146],"Another":[149],"consequence":[151],"given":[154],"there":[158],"exists":[159],"threshold":[161],"T":[163],"such":[174],"R(T,p)":[176],"\u2264":[177]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":3},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":6},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":3},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-05-21T09:19:25.381259","created_date":"2025-10-10T00:00:00"}
