{"id":"https://openalex.org/W2766470515","doi":"https://doi.org/10.1051/ita/2017008","title":"The connectivity and nature diagnosability of expanded<i>k</i>-ary<i>n</i>-cubes","display_name":"The connectivity and nature diagnosability of expanded<i>k</i>-ary<i>n</i>-cubes","publication_year":2017,"publication_date":"2017-04-01","ids":{"openalex":"https://openalex.org/W2766470515","doi":"https://doi.org/10.1051/ita/2017008","mag":"2766470515"},"language":"en","primary_location":{"id":"doi:10.1051/ita/2017008","is_oa":false,"landing_page_url":"https://doi.org/10.1051/ita/2017008","pdf_url":null,"source":{"id":"https://openalex.org/S6941720","display_name":"RAIRO - Theoretical Informatics and Applications","issn_l":"0988-3754","issn":["0988-3754","1290-385X","2804-7346"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319748","host_organization_name":"EDP Sciences","host_organization_lineage":["https://openalex.org/P4310319748"],"host_organization_lineage_names":["EDP Sciences"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"RAIRO - Theoretical Informatics and Applications","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/A5010647258","display_name":"Mujiangshan Wang","orcid":"https://orcid.org/0000-0003-0950-4558"},"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":"Mujiangshan Wang","raw_affiliation_strings":["School of Electrical Engineering and Computer Science, The University of Newcastle NSW 2308, Australia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electrical Engineering and Computer Science, The University of Newcastle NSW 2308, Australia","institution_ids":["https://openalex.org/I78757542"]}]},{"author_position":"middle","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":"Yuqing Lin","raw_affiliation_strings":["School of Electrical Engineering and Computer Science, The University of Newcastle NSW 2308, Australia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electrical Engineering and Computer Science, The University of Newcastle NSW 2308, Australia","institution_ids":["https://openalex.org/I78757542"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100752098","display_name":"Shiying Wang","orcid":"https://orcid.org/0000-0001-9335-3005"},"institutions":[{"id":"https://openalex.org/I75955062","display_name":"Henan Normal University","ror":"https://ror.org/00s13br28","country_code":"CN","type":"education","lineage":["https://openalex.org/I75955062"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shiying Wang","raw_affiliation_strings":["School of Mathematics and Information Science, Henan Normal University, Xinxiang, Henan 453007, PR China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Information Science, Henan Normal University, Xinxiang, Henan 453007, PR China","institution_ids":["https://openalex.org/I75955062"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.0518,"has_fulltext":false,"cited_by_count":22,"citation_normalized_percentile":{"value":0.80772559,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"51","issue":"2","first_page":"71","last_page":"89"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10829","display_name":"Interconnection Networks and Systems","score":1.0,"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":1.0,"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/T11476","display_name":"Graph theory and applications","score":0.9865999817848206,"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/T10847","display_name":"Advanced Optical Network Technologies","score":0.9768999814987183,"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/interconnection","display_name":"Interconnection","score":0.8702723979949951},{"id":"https://openalex.org/keywords/cube","display_name":"Cube (algebra)","score":0.7629393339157104},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5780593156814575},{"id":"https://openalex.org/keywords/fault-tolerance","display_name":"Fault tolerance","score":0.5748912692070007},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.5207569599151611},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.37521249055862427},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3626199960708618},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.34035736322402954},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.33412525057792664},{"id":"https://openalex.org/keywords/distributed-computing","display_name":"Distributed computing","score":0.21064245700836182},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.19594979286193848}],"concepts":[{"id":"https://openalex.org/C123745756","wikidata":"https://www.wikidata.org/wiki/Q1665949","display_name":"Interconnection","level":2,"score":0.8702723979949951},{"id":"https://openalex.org/C53051483","wikidata":"https://www.wikidata.org/wiki/Q861555","display_name":"Cube (algebra)","level":2,"score":0.7629393339157104},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5780593156814575},{"id":"https://openalex.org/C63540848","wikidata":"https://www.wikidata.org/wiki/Q3140932","display_name":"Fault tolerance","level":2,"score":0.5748912692070007},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.5207569599151611},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.37521249055862427},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3626199960708618},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.34035736322402954},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.33412525057792664},{"id":"https://openalex.org/C120314980","wikidata":"https://www.wikidata.org/wiki/Q180634","display_name":"Distributed computing","level":1,"score":0.21064245700836182},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.19594979286193848}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1051/ita/2017008","is_oa":false,"landing_page_url":"https://doi.org/10.1051/ita/2017008","pdf_url":null,"source":{"id":"https://openalex.org/S6941720","display_name":"RAIRO - Theoretical Informatics and Applications","issn_l":"0988-3754","issn":["0988-3754","1290-385X","2804-7346"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319748","host_organization_name":"EDP Sciences","host_organization_lineage":["https://openalex.org/P4310319748"],"host_organization_lineage_names":["EDP Sciences"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"RAIRO - Theoretical Informatics and Applications","raw_type":"journal-article"},{"id":"pmh:oai:numdam.org:ITA_2017__51_2_71_0","is_oa":false,"landing_page_url":"https://www.numdam.org/articles/10.1051/ita/2017008/","pdf_url":null,"source":{"id":"https://openalex.org/S4306402264","display_name":"French digital mathematics library (Numdam)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I70900168","host_organization_name":"Universit\u00e9 Savoie Mont Blanc","host_organization_lineage":["https://openalex.org/I70900168"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":30,"referenced_works":["https://openalex.org/W1579247759","https://openalex.org/W1923396242","https://openalex.org/W1969896247","https://openalex.org/W2019413811","https://openalex.org/W2037529689","https://openalex.org/W2060843867","https://openalex.org/W2079345786","https://openalex.org/W2083399164","https://openalex.org/W2086934045","https://openalex.org/W2095542942","https://openalex.org/W2099952176","https://openalex.org/W2102867768","https://openalex.org/W2135608177","https://openalex.org/W2149789327","https://openalex.org/W2150233937","https://openalex.org/W2151966819","https://openalex.org/W2157828285","https://openalex.org/W2298829258","https://openalex.org/W2304255880","https://openalex.org/W2310403565","https://openalex.org/W2340438586","https://openalex.org/W2493202769","https://openalex.org/W2539027746","https://openalex.org/W2571525873","https://openalex.org/W2590395376","https://openalex.org/W2611093227","https://openalex.org/W2616160710","https://openalex.org/W4232896595","https://openalex.org/W4250393251","https://openalex.org/W4253030580"],"related_works":["https://openalex.org/W2155019192","https://openalex.org/W2014709025","https://openalex.org/W4283690284","https://openalex.org/W3180808905","https://openalex.org/W4249035840","https://openalex.org/W2766970861","https://openalex.org/W3125341812","https://openalex.org/W1668171714","https://openalex.org/W4380607112","https://openalex.org/W2218294330"],"abstract_inverted_index":{"Connectivity":[0],"and":[1,64],"Diagnosability":[2],"play":[3],"an":[4],"important":[5],"role":[6],"in":[7],"measuring":[8],"the":[9,22,38,45,55,61],"fault":[10],"tolerance":[11],"of":[12,19,40,48,58],"interconnection":[13,20],"networks.":[14],"As":[15],"a":[16],"topology":[17],"structure":[18],"networks,":[21],"expanded":[23],"k-ary":[24],"n-cube":[25],"XQkn":[26,41,49,59],"has":[27],"many":[28],"good":[29],"properties.":[30],"In":[31],"this":[32],"paper,":[33],"we":[34],"prove":[35],"that":[36],"(1)":[37],"connectivity":[39,47],"is":[42,50,67],"4n;":[43],"(2)":[44],"nature":[46,56],"8n":[51,68],"\u2212":[52,69],"4;":[53],"(3)":[54],"diagnosability":[57],"under":[60],"PMC":[62],"model":[63,66],"MM\u2217":[65],"3":[70],"for":[71],"n":[72],"\u2265":[73],"2.":[74]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":8},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2017-11-10T00:00:00"}