{"id":"https://openalex.org/W2082911636","doi":"https://doi.org/10.1002/net.20092","title":"All (k;g)-cages are edge-superconnected","display_name":"All (k;g)-cages are edge-superconnected","publication_year":2006,"publication_date":"2006-01-01","ids":{"openalex":"https://openalex.org/W2082911636","doi":"https://doi.org/10.1002/net.20092","mag":"2082911636"},"language":"en","primary_location":{"id":"pmh:vital:523","is_oa":false,"landing_page_url":"http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/45304","pdf_url":null,"source":{"id":"https://openalex.org/S4306400234","display_name":"FedUni ResearchOnline (Federation University Australia)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210158496","host_organization_name":"Australian Federation of University Women \u2013 South Australia","host_organization_lineage":["https://openalex.org/I4210158496"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"},"type":"article","indexed_in":[],"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/A5004045226","display_name":"Yuqing Lin","orcid":"https://orcid.org/0000-0002-6693-0433"},"institutions":[{"id":"https://openalex.org/I78757542","display_name":"University of Newcastle Australia","ror":"https://ror.org/00eae9z71","country_code":"AU","type":"education","lineage":["https://openalex.org/I78757542"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Lin, Yuqing","raw_affiliation_strings":["School of Electrical Engineering and Computer Science, The University of Newcastle, NSW2308, Australia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electrical Engineering and Computer Science, The University of Newcastle, NSW2308, Australia","institution_ids":["https://openalex.org/I78757542"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5112079337","display_name":"Mirka Miller","orcid":null},"institutions":[{"id":"https://openalex.org/I149672521","display_name":"Federation University","ror":"https://ror.org/05qbzwv83","country_code":"AU","type":"education","lineage":["https://openalex.org/I149672521"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Miller, Mirka","raw_affiliation_strings":["School of Information Technology and Mathematical Sciences, University of Ballarat, VIC 3353, Australia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Information Technology and Mathematical Sciences, University of Ballarat, VIC 3353, Australia","institution_ids":["https://openalex.org/I149672521"]}]},{"author_position":"middle","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":false,"raw_author_name":"Balbuena, Camino","raw_affiliation_strings":["Departament de Matem\u00e0tica Aplicada III; Universitat Polit\u00e8cnica de Catalunya; Barcelona Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departament 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/A5017358404","display_name":"X. Marcote","orcid":"https://orcid.org/0000-0002-5194-8593"},"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":"Marcote, Xavier","raw_affiliation_strings":["Departament de Matem\u00e0tica Aplicada III; Universitat Polit\u00e8cnica de Catalunya; Barcelona Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departament de Matem\u00e0tica Aplicada III; Universitat Polit\u00e8cnica de Catalunya; Barcelona Spain","institution_ids":["https://openalex.org/I9617848"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.9346,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.78321029,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"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":0.9952999949455261,"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/T10849","display_name":"Finite Group Theory Research","score":0.9896000027656555,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7495556473731995},{"id":"https://openalex.org/keywords/cage","display_name":"Cage","score":0.6146953701972961},{"id":"https://openalex.org/keywords/enhanced-data-rates-for-gsm-evolution","display_name":"Enhanced Data Rates for GSM Evolution","score":0.6038166284561157},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.47833678126335144},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4775479733943939},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3180355429649353},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.07662162184715271}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7495556473731995},{"id":"https://openalex.org/C160272327","wikidata":"https://www.wikidata.org/wiki/Q841007","display_name":"Cage","level":2,"score":0.6146953701972961},{"id":"https://openalex.org/C162307627","wikidata":"https://www.wikidata.org/wiki/Q204833","display_name":"Enhanced Data Rates for GSM Evolution","level":2,"score":0.6038166284561157},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.47833678126335144},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4775479733943939},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3180355429649353},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.07662162184715271}],"mesh":[],"locations_count":1,"locations":[{"id":"pmh:vital:523","is_oa":false,"landing_page_url":"http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/45304","pdf_url":null,"source":{"id":"https://openalex.org/S4306400234","display_name":"FedUni ResearchOnline (Federation University Australia)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210158496","host_organization_name":"Australian Federation of University Women \u2013 South Australia","host_organization_lineage":["https://openalex.org/I4210158496"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","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":23,"referenced_works":["https://openalex.org/W1964104809","https://openalex.org/W1977011620","https://openalex.org/W1979376805","https://openalex.org/W1990494889","https://openalex.org/W1992797912","https://openalex.org/W1995580361","https://openalex.org/W2013133266","https://openalex.org/W2021558141","https://openalex.org/W2025274559","https://openalex.org/W2026241735","https://openalex.org/W2032599964","https://openalex.org/W2045187551","https://openalex.org/W2064965043","https://openalex.org/W2065976042","https://openalex.org/W2066957322","https://openalex.org/W2072370787","https://openalex.org/W2088535325","https://openalex.org/W2096596497","https://openalex.org/W2116418681","https://openalex.org/W2125732536","https://openalex.org/W2137347071","https://openalex.org/W2140239212","https://openalex.org/W2148350285"],"related_works":["https://openalex.org/W2066957322","https://openalex.org/W2021558141","https://openalex.org/W2064965043","https://openalex.org/W2169093251","https://openalex.org/W2072370787","https://openalex.org/W2025274559","https://openalex.org/W1979376805","https://openalex.org/W38371716","https://openalex.org/W3000054795","https://openalex.org/W2148350285","https://openalex.org/W2137347071","https://openalex.org/W2045187551","https://openalex.org/W2796976177","https://openalex.org/W2125732536","https://openalex.org/W2124506101","https://openalex.org/W1990995160","https://openalex.org/W1977011620","https://openalex.org/W1729503770","https://openalex.org/W2161951629","https://openalex.org/W2078675358"],"abstract_inverted_index":{"A":[0],"(k;g)-cage":[1],"is":[2,27,40],"k-regular":[3],"graph":[4],"with":[5,9],"girth":[6],"g":[7,26,39],"and":[8,31],"the":[10],"least":[11],"possible":[12],"number":[13],"of":[14],"vertices.":[15],"In":[16],"this":[17],"article":[18],"we":[19,49],"prove":[20],"that":[21,34,51],"(k;g)-cages":[22,35,53],"are":[23,36,54],"edge-superconnected":[24,37],"if":[25,38],"even.":[28],"Earlier,":[29],"Marcote":[30],"Balbuena":[32],"proved":[33],"odd":[41],"[Networks":[42],"43":[43],"(2004),":[44],"54-59].":[45],"Combining":[46],"our":[47],"results,":[48],"conclude":[50],"all":[52],"edge-superconnected.":[55],"\u00a9":[56],"2005":[57],"Wiley":[58],"Periodicals,":[59],"Inc.":[60]},"counts_by_year":[{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-02-09T05:59:30.833894","created_date":"2016-06-24T00:00:00"}