{"id":"https://openalex.org/W2053353321","doi":"https://doi.org/10.1002/(sici)1097-0037(199712)30:4<255::aid-net3>3.0.co;2-i","title":"Graphs with given connectivity properties","display_name":"Graphs with given connectivity properties","publication_year":1997,"publication_date":"1997-12-01","ids":{"openalex":"https://openalex.org/W2053353321","doi":"https://doi.org/10.1002/(sici)1097-0037(199712)30:4<255::aid-net3>3.0.co;2-i","mag":"2053353321"},"language":"en","primary_location":{"id":"doi:10.1002/(sici)1097-0037(199712)30:4<255::aid-net3>3.0.co;2-i","is_oa":false,"landing_page_url":"https://doi.org/10.1002/(sici)1097-0037(199712)30:4<255::aid-net3>3.0.co;2-i","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/A5014702862","display_name":"Serge Lawrencenko","orcid":"https://orcid.org/0000-0002-5198-1633"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Serge Lawrencenko","raw_affiliation_strings":["Sturwalnaya 7-1-45, Moscow 123363, Russia"],"affiliations":[{"raw_affiliation_string":"Sturwalnaya 7-1-45, Moscow 123363, Russia","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5031331564","display_name":"Qiang Luo","orcid":"https://orcid.org/0000-0002-3557-6638"},"institutions":[{"id":"https://openalex.org/I37461747","display_name":"Wuhan University","ror":"https://ror.org/033vjfk17","country_code":"CN","type":"education","lineage":["https://openalex.org/I37461747"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Qiang Luo","raw_affiliation_strings":["Wuhan University of Hydrologic and Electronic Engineering, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"Wuhan University of Hydrologic and Electronic Engineering, People's Republic of China","institution_ids":["https://openalex.org/I37461747"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5014702862"],"corresponding_institution_ids":[],"apc_list":{"value":3400,"currency":"USD","value_usd":3400},"apc_paid":null,"fwci":0.4868,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.72986729,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"30","issue":"4","first_page":"255","last_page":"261"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10829","display_name":"Interconnection Networks and Systems","score":0.9998000264167786,"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"}},"topics":[{"id":"https://openalex.org/T10829","display_name":"Interconnection Networks and Systems","score":0.9998000264167786,"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/T10374","display_name":"Advanced Graph Theory Research","score":0.9986000061035156,"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/T10796","display_name":"Cooperative Communication and Network Coding","score":0.9976999759674072,"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/social-connectedness","display_name":"Social connectedness","score":0.8371744155883789},{"id":"https://openalex.org/keywords/redundancy","display_name":"Redundancy (engineering)","score":0.6515434384346008},{"id":"https://openalex.org/keywords/connectivity","display_name":"Connectivity","score":0.6012654900550842},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5920650959014893},{"id":"https://openalex.org/keywords/quotient","display_name":"Quotient","score":0.5902746319770813},{"id":"https://openalex.org/keywords/node","display_name":"Node (physics)","score":0.4599728584289551},{"id":"https://openalex.org/keywords/strongly-connected-component","display_name":"Strongly connected component","score":0.4589892327785492},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4571722149848938},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4491257667541504},{"id":"https://openalex.org/keywords/path","display_name":"Path (computing)","score":0.44600406289100647},{"id":"https://openalex.org/keywords/connected-component","display_name":"Connected component","score":0.4438701868057251},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.37771302461624146},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3511159420013428},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3248645067214966},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.3073608875274658},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.22083154320716858}],"concepts":[{"id":"https://openalex.org/C201943243","wikidata":"https://www.wikidata.org/wiki/Q7551008","display_name":"Social connectedness","level":2,"score":0.8371744155883789},{"id":"https://openalex.org/C152124472","wikidata":"https://www.wikidata.org/wiki/Q1204361","display_name":"Redundancy (engineering)","level":2,"score":0.6515434384346008},{"id":"https://openalex.org/C76444178","wikidata":"https://www.wikidata.org/wiki/Q72897900","display_name":"Connectivity","level":3,"score":0.6012654900550842},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5920650959014893},{"id":"https://openalex.org/C199422724","wikidata":"https://www.wikidata.org/wiki/Q41118","display_name":"Quotient","level":2,"score":0.5902746319770813},{"id":"https://openalex.org/C62611344","wikidata":"https://www.wikidata.org/wiki/Q1062658","display_name":"Node (physics)","level":2,"score":0.4599728584289551},{"id":"https://openalex.org/C38754835","wikidata":"https://www.wikidata.org/wiki/Q2003238","display_name":"Strongly connected component","level":2,"score":0.4589892327785492},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4571722149848938},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4491257667541504},{"id":"https://openalex.org/C2777735758","wikidata":"https://www.wikidata.org/wiki/Q817765","display_name":"Path (computing)","level":2,"score":0.44600406289100647},{"id":"https://openalex.org/C193435613","wikidata":"https://www.wikidata.org/wiki/Q2997928","display_name":"Connected component","level":2,"score":0.4438701868057251},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.37771302461624146},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3511159420013428},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3248645067214966},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.3073608875274658},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.22083154320716858},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C542102704","wikidata":"https://www.wikidata.org/wiki/Q183257","display_name":"Psychotherapist","level":1,"score":0.0},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.0},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1002/(sici)1097-0037(199712)30:4<255::aid-net3>3.0.co;2-i","is_oa":false,"landing_page_url":"https://doi.org/10.1002/(sici)1097-0037(199712)30:4<255::aid-net3>3.0.co;2-i","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":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":3,"referenced_works":["https://openalex.org/W1484040084","https://openalex.org/W1991548216","https://openalex.org/W2125993726"],"related_works":["https://openalex.org/W938372727","https://openalex.org/W4379118151","https://openalex.org/W4230093114","https://openalex.org/W2039866832","https://openalex.org/W2014594560","https://openalex.org/W3019714789","https://openalex.org/W1999992729","https://openalex.org/W1984251932","https://openalex.org/W2804933047","https://openalex.org/W4287829382"],"abstract_inverted_index":{"A":[0],"node":[1],"of":[2,7,40,94,111,134,143,153],"a":[3,10,63,67,78,83,90,132],"graph":[4],"G,":[5],"thought":[6],"as":[8,99,102],"representing":[9],"communication":[11,84],"network,":[12],"is":[13],"said":[14],"to":[15,36,156],"be":[16],"redundant":[17],"provided":[18],"that":[19],"its":[20],"removal":[21],"does":[22],"not":[23],"diminish":[24],"the":[25,37,43,45,47,50,126,151,154,157],"connectivity.":[26],"In":[27],"constructing":[28],"networks,":[29],"we":[30,81],"require":[31],"reliable":[32,49,64],"connectedness":[33,121],"in":[34,107,148],"addition":[35],"usual":[38],"requirement":[39],"reliability":[41],"(i.e.,":[42],"higher":[44],"connectivity,":[46],"more":[48],"network).":[51],"Two":[52],"nodes":[53,71,88,155],"are":[54,60,74,117],"called":[55],"reliably":[56,118],"connected":[57,119,146],"if":[58],"they":[59],"joined":[61],"by":[62],"path,":[65],"i.e.,":[66],"path":[68],"whose":[69],"internal":[70],"(if":[72],"any)":[73],"all":[75],"redundant.":[76],"For":[77],"given":[79,91],"n,":[80],"construct":[82],"network":[85],"on":[86],"n":[87],"having":[89],"value":[92],"k":[93],"connectivity":[95,158],"(reliability":[96],"condition)":[97,105],"and":[98,106,131],"few":[100],"edges":[101],"possible":[103],"(optimization":[104],"which":[108,140],"any":[109],"pair":[110],"nodes,":[112],"with":[113,150],"one":[114],"exceptional":[115],"node,":[116],"(reliable":[120],"condition).":[122],"We":[123],"also":[124],"studied":[125],"associated-with-G":[127],"\u201cstrong":[128],"redundancy":[129,136],"graph\u201d":[130],"sequence":[133],"\u201cweak":[135],"graphs,\u201d":[137],"quotient":[138],"graphs":[139],"display":[141],"decompositions":[142],"G":[144],"into":[145],"subgraphs":[147],"accordance":[149],"contributions":[152],"K(G).":[159],"\u00a9":[160],"1997":[161,170],"John":[162],"Wiley":[163],"&":[164],"Sons,":[165],"Inc.":[166],"Networks":[167],"30:":[168],"255\u2013261,":[169]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2021,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}