{"id":"https://openalex.org/W1966231938","doi":"https://doi.org/10.1002/(sici)1097-0118(199608)22:4<281::aid-jgt1>3.0.co;2-h","title":"Distance connectivity in graphs and digraphs","display_name":"Distance connectivity in graphs and digraphs","publication_year":1996,"publication_date":"1996-08-01","ids":{"openalex":"https://openalex.org/W1966231938","doi":"https://doi.org/10.1002/(sici)1097-0118(199608)22:4<281::aid-jgt1>3.0.co;2-h","mag":"1966231938"},"language":"en","primary_location":{"id":"doi:10.1002/(sici)1097-0118(199608)22:4<281::aid-jgt1>3.0.co;2-h","is_oa":false,"landing_page_url":"https://doi.org/10.1002/(sici)1097-0118(199608)22:4<281::aid-jgt1>3.0.co;2-h","pdf_url":null,"source":{"id":"https://openalex.org/S193368155","display_name":"Journal of Graph Theory","issn_l":"0364-9024","issn":["0364-9024","1097-0118"],"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":"Journal of Graph Theory","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/A5091011098","display_name":"C. Balbuena","orcid":"https://orcid.org/0000-0003-4190-4287"},"institutions":[{"id":"https://openalex.org/I9617848","display_name":"Universitat Polit\u00e8cnica de Catalunya","ror":"https://ror.org/03mb6wj31","country_code":"ES","type":"education","lineage":["https://openalex.org/I9617848"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"M. C. Balbuena","raw_affiliation_strings":["Department De Matema\u0300tica Aplicada III, Universitat Polite\u0300cnica De Catalunya Barcelona, Spain","Dept. de Matem\u00e0tica Aplicada III, Universitat Polit\u00e8cnica de Catalunya, Barcelona, Spain"],"affiliations":[{"raw_affiliation_string":"Department De Matema\u0300tica Aplicada III, Universitat Polite\u0300cnica De Catalunya Barcelona, Spain","institution_ids":["https://openalex.org/I9617848"]},{"raw_affiliation_string":"Dept. de Matem\u00e0tica Aplicada III, Universitat Polit\u00e8cnica de Catalunya, Barcelona, Spain","institution_ids":["https://openalex.org/I9617848"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5083723047","display_name":"\u00c1ngeles Carmona Mej\u00edas","orcid":"https://orcid.org/0000-0001-7713-1066"},"institutions":[{"id":"https://openalex.org/I9617848","display_name":"Universitat Polit\u00e8cnica de Catalunya","ror":"https://ror.org/03mb6wj31","country_code":"ES","type":"education","lineage":["https://openalex.org/I9617848"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"A. Carmona","raw_affiliation_strings":["Department De Matema\u0300tica Aplicada III, Universitat Polite\u0300cnica De Catalunya Barcelona, Spain","Dept. de Matem\u00e0tica Aplicada III, Universitat Polit\u00e8cnica de Catalunya, Barcelona, Spain"],"affiliations":[{"raw_affiliation_string":"Department De Matema\u0300tica Aplicada III, Universitat Polite\u0300cnica De Catalunya Barcelona, Spain","institution_ids":["https://openalex.org/I9617848"]},{"raw_affiliation_string":"Dept. de Matem\u00e0tica Aplicada III, Universitat Polit\u00e8cnica de Catalunya, Barcelona, Spain","institution_ids":["https://openalex.org/I9617848"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5078943135","display_name":"M.A. Fiol","orcid":"https://orcid.org/0000-0003-1337-4952"},"institutions":[{"id":"https://openalex.org/I9617848","display_name":"Universitat Polit\u00e8cnica de Catalunya","ror":"https://ror.org/03mb6wj31","country_code":"ES","type":"education","lineage":["https://openalex.org/I9617848"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"M. A. Fiol","raw_affiliation_strings":["Department De Matema\u0300tica Aplicada III, Universitat Polite\u0300cnica De Catalunya Barcelona, Spain","Dept. de Matem\u00e0tica Aplicada III, Universitat Polit\u00e8cnica de Catalunya, Barcelona, Spain"],"affiliations":[{"raw_affiliation_string":"Department De Matema\u0300tica Aplicada III, Universitat Polite\u0300cnica De Catalunya Barcelona, Spain","institution_ids":["https://openalex.org/I9617848"]},{"raw_affiliation_string":"Dept. de Matem\u00e0tica Aplicada III, Universitat Polit\u00e8cnica de Catalunya, Barcelona, Spain","institution_ids":["https://openalex.org/I9617848"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5083723047","https://openalex.org/A5091011098"],"corresponding_institution_ids":["https://openalex.org/I9617848"],"apc_list":{"value":3760,"currency":"USD","value_usd":3760},"apc_paid":null,"fwci":0.7025,"has_fulltext":false,"cited_by_count":16,"citation_normalized_percentile":{"value":0.56521739,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"22","issue":"4","first_page":"281","last_page":"292"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11329","display_name":"Limits and Structures in Graph Theory","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11329","display_name":"Limits and Structures in Graph Theory","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11476","display_name":"Graph theory and applications","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9990000128746033,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/digraph","display_name":"Digraph","score":0.9373440742492676},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.8786267042160034},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7892553806304932},{"id":"https://openalex.org/keywords/cardinality","display_name":"Cardinality (data modeling)","score":0.6461595296859741},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.5588332414627075},{"id":"https://openalex.org/keywords/degree","display_name":"Degree (music)","score":0.483639121055603},{"id":"https://openalex.org/keywords/connectivity","display_name":"Connectivity","score":0.44688552618026733},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4234408140182495},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.27240902185440063},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07363578677177429},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.06526535749435425}],"concepts":[{"id":"https://openalex.org/C2779145032","wikidata":"https://www.wikidata.org/wiki/Q191494","display_name":"Digraph","level":2,"score":0.9373440742492676},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8786267042160034},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7892553806304932},{"id":"https://openalex.org/C87117476","wikidata":"https://www.wikidata.org/wiki/Q362383","display_name":"Cardinality (data modeling)","level":2,"score":0.6461595296859741},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.5588332414627075},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.483639121055603},{"id":"https://openalex.org/C76444178","wikidata":"https://www.wikidata.org/wiki/Q72897900","display_name":"Connectivity","level":3,"score":0.44688552618026733},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4234408140182495},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.27240902185440063},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07363578677177429},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.06526535749435425},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","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":2,"locations":[{"id":"doi:10.1002/(sici)1097-0118(199608)22:4<281::aid-jgt1>3.0.co;2-h","is_oa":false,"landing_page_url":"https://doi.org/10.1002/(sici)1097-0118(199608)22:4<281::aid-jgt1>3.0.co;2-h","pdf_url":null,"source":{"id":"https://openalex.org/S193368155","display_name":"Journal of Graph Theory","issn_l":"0364-9024","issn":["0364-9024","1097-0118"],"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":"Journal of Graph Theory","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.97.7846","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.97.7846","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www-ma3.upc.es/users/carmona/publicaciones/revdistan.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W113971472","https://openalex.org/W1510730180","https://openalex.org/W1975203667","https://openalex.org/W1980395362","https://openalex.org/W2014754781","https://openalex.org/W2051244399","https://openalex.org/W2060628638","https://openalex.org/W2148350285","https://openalex.org/W2319680926","https://openalex.org/W2615695714","https://openalex.org/W2796976177","https://openalex.org/W2799004609"],"related_works":["https://openalex.org/W2038088825","https://openalex.org/W1975203667","https://openalex.org/W2370328482","https://openalex.org/W4287882779","https://openalex.org/W2046896701","https://openalex.org/W2604303358","https://openalex.org/W2924623028","https://openalex.org/W4288411600","https://openalex.org/W1615985311","https://openalex.org/W3117126883"],"abstract_inverted_index":{"Let":[0],"G":[1,27,61],"=":[2,100,140,144],"(V,":[3],"A)":[4],"be":[5,94,182],"a":[6,14,112,115,147,179],"digraph":[7,90,116,148,180],"with":[8,81],"diameter":[9],"D":[10,118,129],"\u2260":[11],"1.":[12],"For":[13],"given":[15],"integer":[16],"2":[17],"\u2264":[18,20,125,127],"t":[19],"D,":[21],"the":[22,29,41,71,74,133,151,154,168],"t-distance":[23,56,137],"connectivity":[24,58],"\u03ba(t)":[25,99],"of":[26,32,43,60,67,78,105,114,135,153,171],"is":[28,62,70,91,160],"minimum":[30,72],"cardinality":[31],"an":[33],"x":[34],"\u2192":[35],"y":[36,46],"separating":[37],"set":[38],"over":[39],"all":[40,79,103],"pairs":[42],"vertices":[44,80],"x,":[45],"which":[47],"are":[48,191],"at":[49,86],"distance":[50,96,169,184],"d(x,":[51],"y)":[52],"\u2265":[53],"t.":[54,88,106],"The":[55,65],"edge":[57],"\u03bb(t)":[59],"defined":[63],"similarly.":[64],"t-degree":[66],"G,":[68],"\u03b4(t),":[69],"among":[73],"out-degrees":[75],"and":[76,158],"in-degrees":[77],"(out-":[82],"or":[83],"-in-)":[84],"eccentricity":[85],"least":[87],"A":[89],"said":[92],"to":[93,181],"maximally":[95,183],"connected":[97],"if":[98],"\u03b4(t)":[101,159],"for":[102,178,188],"values":[104,134],"In":[107],"this":[108],"paper":[109],"we":[110,163],"give":[111],"construction":[113],"having":[117],"\u2212":[119],"1":[120],"positive":[121],"arbitrary":[122],"integers":[123],"c2":[124],"\u2026":[126],"cD,":[128],">":[130],"3,":[131],"as":[132,173,175],"its":[136],"connectivities":[138,170],"\u03ba(2)":[139],"c2,":[141],"\u2026,":[142],"\u03ba(D)":[143],"cD.":[145],"Besides,":[146],"that":[149],"shows":[150],"independence":[152],"parameters":[155],"\u03ba(t),":[156],"\u03bb(t),":[157],"constructed.":[161],"Also":[162],"derive":[164],"some":[165],"results":[166,187],"on":[167],"digraphs,":[172],"well":[174],"sufficient":[176],"conditions":[177],"connected.":[185],"Similar":[186],"(undirected)":[189],"graphs":[190],"presented.":[192],"\u00a9":[193],"1996":[194],"John":[195],"Wiley":[196],"&":[197],"Sons,":[198],"Inc.":[199]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":2}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}