{"id":"https://openalex.org/W1991548216","doi":"https://doi.org/10.1002/net.3230110107","title":"The cohesiveness of a point of a graph","display_name":"The cohesiveness of a point of a graph","publication_year":1981,"publication_date":"1981-03-01","ids":{"openalex":"https://openalex.org/W1991548216","doi":"https://doi.org/10.1002/net.3230110107","mag":"1991548216"},"language":"en","primary_location":{"id":"doi:10.1002/net.3230110107","is_oa":false,"landing_page_url":"https://doi.org/10.1002/net.3230110107","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/A5005795132","display_name":"Jin Akiyama","orcid":"https://orcid.org/0000-0002-0047-6717"},"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":"Jin Akiyama","raw_affiliation_strings":["Nippon Ika University, Kosugi, Kawasaki, Japan, Stevens Institute of Technology, Hoboken, New Jersey 07030"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Nippon Ika University, Kosugi, Kawasaki, Japan, Stevens Institute of Technology, Hoboken, New Jersey 07030","institution_ids":["https://openalex.org/I108468826"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5113524012","display_name":"F Boesch","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":"Frank Boesch","raw_affiliation_strings":["Nippon Ika University, Kosugi, Kawasaki, Japan, Stevens Institute of Technology, Hoboken, New Jersey 07030"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Nippon Ika University, Kosugi, Kawasaki, Japan, Stevens Institute of Technology, Hoboken, New Jersey 07030","institution_ids":["https://openalex.org/I108468826"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5060139063","display_name":"Hiroshi Era","orcid":null},"institutions":[{"id":"https://openalex.org/I1314466530","display_name":"Tokai University","ror":"https://ror.org/01p7qe739","country_code":"JP","type":"education","lineage":["https://openalex.org/I1314466530"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Hiroshi Era","raw_affiliation_strings":["Tokai University, Hiratsuka, Japan","Tokai University, Hiratsuka , Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Tokai University, Hiratsuka, Japan","institution_ids":["https://openalex.org/I1314466530"]},{"raw_affiliation_string":"Tokai University, Hiratsuka , Japan","institution_ids":["https://openalex.org/I1314466530"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5111801246","display_name":"Frank Harary","orcid":null},"institutions":[{"id":"https://openalex.org/I27837315","display_name":"University of Michigan","ror":"https://ror.org/00jmfr291","country_code":"US","type":"education","lineage":["https://openalex.org/I27837315"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Frank Harary","raw_affiliation_strings":["University of Michigan, Ann Arbor, Michigan 48109","University of Michigan Ann Arbor , Michigan, 48109"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Michigan, Ann Arbor, Michigan 48109","institution_ids":["https://openalex.org/I27837315"]},{"raw_affiliation_string":"University of Michigan Ann Arbor , Michigan, 48109","institution_ids":["https://openalex.org/I27837315"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5051837370","display_name":"Ralph Tindell","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":"Ralph Tindell","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":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":3400,"currency":"USD","value_usd":3400},"apc_paid":null,"fwci":1.2389,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.75645556,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":"11","issue":"1","first_page":"65","last_page":"68"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10064","display_name":"Complex Network Analysis Techniques","score":0.9952999949455261,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10064","display_name":"Complex Network Analysis Techniques","score":0.9952999949455261,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9758999943733215,"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/T12288","display_name":"Optimization and Search Problems","score":0.9103999733924866,"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/group-cohesiveness","display_name":"Group cohesiveness","score":0.9657905101776123},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7237266898155212},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6193853616714478},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.5783140063285828},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4837389290332794},{"id":"https://openalex.org/keywords/social-psychology","display_name":"Social psychology","score":0.08687886595726013},{"id":"https://openalex.org/keywords/psychology","display_name":"Psychology","score":0.07161939144134521}],"concepts":[{"id":"https://openalex.org/C14641543","wikidata":"https://www.wikidata.org/wiki/Q553270","display_name":"Group cohesiveness","level":2,"score":0.9657905101776123},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7237266898155212},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6193853616714478},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5783140063285828},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4837389290332794},{"id":"https://openalex.org/C77805123","wikidata":"https://www.wikidata.org/wiki/Q161272","display_name":"Social psychology","level":1,"score":0.08687886595726013},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.07161939144134521}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1002/net.3230110107","is_oa":false,"landing_page_url":"https://doi.org/10.1002/net.3230110107","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":2,"referenced_works":["https://openalex.org/W4213214460","https://openalex.org/W4255845271"],"related_works":["https://openalex.org/W1993460291","https://openalex.org/W2362690835","https://openalex.org/W169846615","https://openalex.org/W1975863140","https://openalex.org/W4255428918","https://openalex.org/W2379355252","https://openalex.org/W2756729414","https://openalex.org/W2362956845","https://openalex.org/W2164881607","https://openalex.org/W1985815809"],"abstract_inverted_index":{"Abstract":[0],"The":[1,124],"connectivity":[2,34],"contribution":[3],"or":[4],"cohesiveness":[5,80,94,119,136],"of":[6,10,44,52,64,104,114,121,138],"a":[7,41,93,105,139],"point":[8,42],"v":[9,27,43,56,77],"graph":[11,106,140],"G":[12,20,25,45,65,82,122],"is":[13,31,37,57],"defined":[14],"as":[15,111],"the":[16,32,50,58,73,112,135],"difference":[17],"k":[18,23],"(":[19,24,96],")":[21,28,103],"\u2010":[22,26],"where":[29],"kappa":[30],"usual":[33],"symbol.":[35],"It":[36],"shown":[38],"that":[39,75],"if":[40,76],"has":[46,69,78],"negative":[47,79],"cohesiveness,":[48],"then":[49,84],"set":[51,63],"points":[53,120],"adjacent":[54],"to":[55,133],"unique":[59],"minimum":[60],"size":[61],"disconnecting":[62],".":[66,123],"This":[67],"theorem":[68],"several":[70],"corollaries":[71],"including":[72],"result":[74],"in":[81,88],",":[83,100],"it":[85],"does":[86],"not":[87],"\u0393.":[89],"Finally":[90],"we":[91],"define":[92],"triple":[95,132,137],"n_,":[97],"n":[98,101],"0":[99],"+":[102],"by":[107],"taking":[108],"these,":[109],"respectively,":[110],"number":[113],"negative,":[115],"zero,":[116],"and":[117,126],"positive":[118],"necessary":[125],"sufficient":[127],"conditions":[128],"for":[129],"an":[130],"arbitrary":[131],"be":[134],"are":[141],"derived.":[142]},"counts_by_year":[{"year":2017,"cited_by_count":2}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
