{"id":"https://openalex.org/W2965195391","doi":"https://doi.org/10.1109/access.2019.2931574","title":"The $h$ -Extra Connectivity and Diagnosability of Locally Twisted Cubes","display_name":"The $h$ -Extra Connectivity and Diagnosability of Locally Twisted Cubes","publication_year":2019,"publication_date":"2019-01-01","ids":{"openalex":"https://openalex.org/W2965195391","doi":"https://doi.org/10.1109/access.2019.2931574","mag":"2965195391"},"language":"en","primary_location":{"id":"doi:10.1109/access.2019.2931574","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2019.2931574","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/8600701/08778717.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://ieeexplore.ieee.org/ielx7/6287639/8600701/08778717.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100752098","display_name":"Shiying Wang","orcid":"https://orcid.org/0000-0001-9335-3005"},"institutions":[{"id":"https://openalex.org/I94310126","display_name":"Shanxi Normal University","ror":"https://ror.org/03zd3ta61","country_code":"CN","type":"education","lineage":["https://openalex.org/I94310126"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shiying Wang","raw_affiliation_strings":["School of Mathematics and Computer Science, Shanxi Normal University, Linfen, China"],"raw_orcid":"https://orcid.org/0000-0001-9335-3005","affiliations":[{"raw_affiliation_string":"School of Mathematics and Computer Science, Shanxi Normal University, Linfen, China","institution_ids":["https://openalex.org/I94310126"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5011336419","display_name":"Yunxia Ren","orcid":"https://orcid.org/0000-0002-5068-3087"},"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":"Yunxia Ren","raw_affiliation_strings":["School of Mathematics and Information Science, Henan Normal University, Xinxiang, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Information Science, Henan Normal University, Xinxiang, China","institution_ids":["https://openalex.org/I75955062"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":1850,"currency":"USD","value_usd":1850},"apc_paid":{"value":1850,"currency":"USD","value_usd":1850},"fwci":1.4217,"has_fulltext":true,"cited_by_count":15,"citation_normalized_percentile":{"value":0.83507772,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"7","issue":null,"first_page":"102113","last_page":"102118"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10829","display_name":"Interconnection Networks and Systems","score":0.9994000196456909,"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":0.9994000196456909,"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":0.9962000250816345,"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/T10083","display_name":"Graphene research and applications","score":0.9950000047683716,"subfield":{"id":"https://openalex.org/subfields/2505","display_name":"Materials Chemistry"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/notation","display_name":"Notation","score":0.7282516360282898},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4164348244667053},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3848430812358856},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3687581419944763},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.322465181350708},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.32087475061416626},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.17147117853164673},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.15975740551948547}],"concepts":[{"id":"https://openalex.org/C45357846","wikidata":"https://www.wikidata.org/wiki/Q2001982","display_name":"Notation","level":2,"score":0.7282516360282898},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4164348244667053},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3848430812358856},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3687581419944763},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.322465181350708},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.32087475061416626},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.17147117853164673},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.15975740551948547}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/access.2019.2931574","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2019.2931574","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/8600701/08778717.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:f289010b7a204e01b81de73a0ce328c8","is_oa":true,"landing_page_url":"https://doaj.org/article/f289010b7a204e01b81de73a0ce328c8","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Access, Vol 7, Pp 102113-102118 (2019)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1109/access.2019.2931574","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2019.2931574","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/8600701/08778717.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G6861014690","display_name":null,"funder_award_id":"61772010","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2965195391.pdf","grobid_xml":"https://content.openalex.org/works/W2965195391.grobid-xml"},"referenced_works_count":40,"referenced_works":["https://openalex.org/W159485782","https://openalex.org/W560799365","https://openalex.org/W1923396242","https://openalex.org/W1971967319","https://openalex.org/W1997748822","https://openalex.org/W2025587779","https://openalex.org/W2033449646","https://openalex.org/W2037529689","https://openalex.org/W2046421475","https://openalex.org/W2060843867","https://openalex.org/W2078354568","https://openalex.org/W2079290705","https://openalex.org/W2079345786","https://openalex.org/W2083399164","https://openalex.org/W2095983440","https://openalex.org/W2097397107","https://openalex.org/W2100980593","https://openalex.org/W2102867768","https://openalex.org/W2145331678","https://openalex.org/W2169989080","https://openalex.org/W2278163725","https://openalex.org/W2304255880","https://openalex.org/W2310403565","https://openalex.org/W2340438586","https://openalex.org/W2403690276","https://openalex.org/W2493202769","https://openalex.org/W2516982167","https://openalex.org/W2539027746","https://openalex.org/W2551815566","https://openalex.org/W2590395376","https://openalex.org/W2603067036","https://openalex.org/W2613506792","https://openalex.org/W2621501936","https://openalex.org/W2714180822","https://openalex.org/W2741768171","https://openalex.org/W2803804264","https://openalex.org/W2963565037","https://openalex.org/W2964129534","https://openalex.org/W4250393251","https://openalex.org/W6713102343"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2051487156","https://openalex.org/W2504004674","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596","https://openalex.org/W2072657027"],"abstract_inverted_index":{"The":[0,105],"connectivity":[1,28,144],"and":[2,17,168,178,230],"diagnosability":[3],"of":[4,29,50,68,79,145,185,194],"a":[5,8],"system":[6],"or":[7],"network":[9,31],"are":[10,119],"two":[11],"important":[12],"measures.":[13],"In":[14,52,130],"1996,":[15],"F\u00e0brega":[16],"Fiol":[18],"proposed":[19,59],"the":[20,30,60,136,186,227,248],"<inline-formula":[21,32,43,61,69,80,89,97,109,123,137,146,153,161,169,179,187,195,202,210,218,231,239,250],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[22,33,44,56,62,70,81,90,98,110,124,138,147,154,162,170,180,188,196,203,211,219,232,240,251],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">":[23,34,45,63,71,82,91,99,111,125,139,148,155,163,171,181,189,197,204,212,220,233,241,252],"<tex-math":[24,35,46,64,72,83,92,100,112,126,140,149,156,164,172,182,190,198,205,213,221,234,242,253],"notation=\"LaTeX\">$h$":[25,141],"</tex-math></inline-formula>":[26,37,48,66,74,85,94,103,114,128,142,151,159,167,176,184,192,200,208,216,225,237,246,255],"-extra":[27,143],"notation=\"LaTeX\">$G=(V,E)$":[36],",":[38,177,217,238],"which":[39],"is":[40,115,152,201],"necessary":[41],"for":[42,96,160,209],"notation=\"LaTeX\">$(h,m)$":[47,65,191],"-diagnosability":[49,67,193],"networks.":[51],"2016,":[53],"Zhang":[54],"<italic":[55],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">et":[57],"al.</i>":[58],"notation=\"LaTeX\">$G$":[73],"that":[75,135],"requires":[76],"every":[77],"component":[78],"notation=\"LaTeX\">$G-S$":[84],"has":[86],"at":[87],"least":[88],"notation=\"LaTeX\">$(h+1)$":[93],"nodes":[95],"notation=\"LaTeX\">$S\\subseteq":[101],"V$":[102],".":[104,129],"locally":[106],"twisted":[107],"cube":[108],"notation=\"LaTeX\">$LTQ_{n}$":[113,127,150,199],"applied":[116],"widely.":[117],"There":[118],"many":[120],"studies":[121],"on":[122],"this":[131],"paper,":[132],"we":[133],"show":[134],"notation=\"LaTeX\">$n-\\frac":[157,206],"{1}{2}h(h-2n+3)$":[158],"notation=\"LaTeX\">$n\\geq":[165,214,235],"5$":[166,215],"notation=\"LaTeX\">$0\\leq":[173,222,243],"h\\leq":[174,223,244],"n-3$":[175,224,245],"notation=\"LaTeX\">$m$":[183],"{1}{2}h(h-2n+1)$":[207],"in":[226,247],"PMC":[228],"model":[229],"7$":[236],"MM":[249],"notation=\"LaTeX\">$^{*}$":[254],"model,":[256],"respectively.":[257]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
