{"id":"https://openalex.org/W2001400815","doi":"https://doi.org/10.1137/0403044","title":"Vertex Transitivity and Super Line Connectedness","display_name":"Vertex Transitivity and Super Line Connectedness","publication_year":1990,"publication_date":"1990-11-01","ids":{"openalex":"https://openalex.org/W2001400815","doi":"https://doi.org/10.1137/0403044","mag":"2001400815"},"language":"en","primary_location":{"id":"doi:10.1137/0403044","is_oa":false,"landing_page_url":"https://doi.org/10.1137/0403044","pdf_url":null,"source":{"id":"https://openalex.org/S117679221","display_name":"SIAM Journal on Discrete Mathematics","issn_l":"0895-4801","issn":["0895-4801","1095-7146"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Discrete Mathematics","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/A5108518802","display_name":"Yahya Ould Hamidoune","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Yahya Ould Hamidoune","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5051837370","display_name":"Ralph Tindell","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Ralph Tindell","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.1805414,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":"3","issue":"4","first_page":"524","last_page":"530"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10829","display_name":"Interconnection Networks and Systems","score":0.9997000098228455,"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":0.9997000098228455,"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":0.9988999962806702,"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/T11797","display_name":"graph theory and CDMA systems","score":0.9958000183105469,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.8220006823539734},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.767463743686676},{"id":"https://openalex.org/keywords/cayley-graph","display_name":"Cayley graph","score":0.5832394957542419},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.5452495217323303},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4958978593349457},{"id":"https://openalex.org/keywords/connected-component","display_name":"Connected component","score":0.48705151677131653},{"id":"https://openalex.org/keywords/abelian-group","display_name":"Abelian group","score":0.48414498567581177},{"id":"https://openalex.org/keywords/strongly-connected-component","display_name":"Strongly connected component","score":0.4632512331008911},{"id":"https://openalex.org/keywords/connectivity","display_name":"Connectivity","score":0.457370787858963},{"id":"https://openalex.org/keywords/algebraic-connectivity","display_name":"Algebraic connectivity","score":0.4440484046936035},{"id":"https://openalex.org/keywords/social-connectedness","display_name":"Social connectedness","score":0.4375787079334259},{"id":"https://openalex.org/keywords/modular-decomposition","display_name":"Modular decomposition","score":0.42618584632873535},{"id":"https://openalex.org/keywords/transitive-relation","display_name":"Transitive relation","score":0.41633355617523193},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.3828694820404053},{"id":"https://openalex.org/keywords/pathwidth","display_name":"Pathwidth","score":0.33959510922431946},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.3146715462207794}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8220006823539734},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.767463743686676},{"id":"https://openalex.org/C120204988","wikidata":"https://www.wikidata.org/wiki/Q859174","display_name":"Cayley graph","level":3,"score":0.5832394957542419},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.5452495217323303},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4958978593349457},{"id":"https://openalex.org/C193435613","wikidata":"https://www.wikidata.org/wiki/Q2997928","display_name":"Connected component","level":2,"score":0.48705151677131653},{"id":"https://openalex.org/C136170076","wikidata":"https://www.wikidata.org/wiki/Q181296","display_name":"Abelian group","level":2,"score":0.48414498567581177},{"id":"https://openalex.org/C38754835","wikidata":"https://www.wikidata.org/wiki/Q2003238","display_name":"Strongly connected component","level":2,"score":0.4632512331008911},{"id":"https://openalex.org/C76444178","wikidata":"https://www.wikidata.org/wiki/Q72897900","display_name":"Connectivity","level":3,"score":0.457370787858963},{"id":"https://openalex.org/C7948225","wikidata":"https://www.wikidata.org/wiki/Q4723998","display_name":"Algebraic connectivity","level":4,"score":0.4440484046936035},{"id":"https://openalex.org/C201943243","wikidata":"https://www.wikidata.org/wiki/Q7551008","display_name":"Social connectedness","level":2,"score":0.4375787079334259},{"id":"https://openalex.org/C187407849","wikidata":"https://www.wikidata.org/wiki/Q6889712","display_name":"Modular decomposition","level":5,"score":0.42618584632873535},{"id":"https://openalex.org/C191399111","wikidata":"https://www.wikidata.org/wiki/Q64861","display_name":"Transitive relation","level":2,"score":0.41633355617523193},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.3828694820404053},{"id":"https://openalex.org/C43517604","wikidata":"https://www.wikidata.org/wiki/Q7144893","display_name":"Pathwidth","level":4,"score":0.33959510922431946},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.3146715462207794},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0},{"id":"https://openalex.org/C542102704","wikidata":"https://www.wikidata.org/wiki/Q183257","display_name":"Psychotherapist","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/0403044","is_oa":false,"landing_page_url":"https://doi.org/10.1137/0403044","pdf_url":null,"source":{"id":"https://openalex.org/S117679221","display_name":"SIAM Journal on Discrete Mathematics","issn_l":"0895-4801","issn":["0895-4801","1095-7146"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Discrete Mathematics","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":5,"referenced_works":["https://openalex.org/W1968998511","https://openalex.org/W1969490744","https://openalex.org/W2008240054","https://openalex.org/W2057250066","https://openalex.org/W2148350285"],"related_works":["https://openalex.org/W938372727","https://openalex.org/W4390189596","https://openalex.org/W4379118151","https://openalex.org/W3019714789","https://openalex.org/W2567147177","https://openalex.org/W1924533234","https://openalex.org/W4302794149","https://openalex.org/W2058100834","https://openalex.org/W3153502348","https://openalex.org/W3032211521"],"abstract_inverted_index":{"A":[0,79],"connected":[1,10,30,37,85,93,117],"graph":[2,33],"X":[3],"is":[4,16,26,34,40],"said":[5],"to":[6,136],"be":[7],"super":[8,35,91,123],"line":[9,36,124],"if":[11],"every":[12],"minimum":[13],"edge":[14],"cut":[15],"the":[17,44,99,110,116,130],"set":[18],"of":[19,46,50,55,109,115,129],"edges":[20],"incident":[21],"with":[22],"some":[23],"vertex.":[24],"It":[25],"proved":[27],"that":[28,88,120],"a":[29,41,95,105,113],"Abelian":[31,100],"Cayley":[32,86],"unless":[38],"it":[39],"cycle":[42],"or":[43],"product":[45],"complete":[47],"graphs,":[48],"one":[49,54,108],"size":[51,56],"2":[52],"and":[53,68,70,77,94],"$m\\geqq":[57],"3$.":[58],"This":[59],"result":[60,128,135],"generalizes":[61,133],"previous":[62,106],"characterizations":[63],"for":[64,71,83,98],"circulants":[65],"by":[66,73],"Boesch":[67],"Wang":[69],"hypercubes":[72],"Boesch,":[74],"Lee,":[75],"Wang,":[76],"Yang.":[78],"simple":[80],"algebraic":[81],"characterization":[82,97,114],"strongly":[84],"digraphs":[87],"are":[89,102,121],"not":[90,122],"arc":[92],"structural":[96],"case":[101],"given.":[103],"In":[104],"work,":[107],"authors":[111],"presented":[112],"vertex-transitive":[118],"graphs":[119],"connected.":[125],"The":[126],"final":[127],"present":[131],"paper":[132],"this":[134],"directed":[137],"graphs.":[138]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
