{"id":"https://openalex.org/W2106155325","doi":"https://doi.org/10.1080/00207160.2015.1067690","title":"The restricted edge-connectivity and restricted connectivity of augmented<i>k</i>-ary<i>n</i>-cubes","display_name":"The restricted edge-connectivity and restricted connectivity of augmented<i>k</i>-ary<i>n</i>-cubes","publication_year":2015,"publication_date":"2015-06-29","ids":{"openalex":"https://openalex.org/W2106155325","doi":"https://doi.org/10.1080/00207160.2015.1067690","mag":"2106155325"},"language":"en","primary_location":{"id":"doi:10.1080/00207160.2015.1067690","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160.2015.1067690","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer 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/A5028062382","display_name":"Ruizhi Lin","orcid":"https://orcid.org/0000-0002-4047-9891"},"institutions":[{"id":"https://openalex.org/I76214153","display_name":"Lanzhou University","ror":"https://ror.org/01mkqqe32","country_code":"CN","type":"education","lineage":["https://openalex.org/I76214153"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ruizhi Lin","raw_affiliation_strings":["School of Mathematics and Statistics, Lanzhou University, Lanzhou, Gansu 730000, China","School of Mathematics and Statistics, Lanzhou University, Lanzhou, Gansu730000, China#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Lanzhou University, Lanzhou, Gansu 730000, China","institution_ids":["https://openalex.org/I76214153"]},{"raw_affiliation_string":"School of Mathematics and Statistics, Lanzhou University, Lanzhou, Gansu730000, China#TAB#","institution_ids":["https://openalex.org/I76214153"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5056609757","display_name":"Heping Zhang","orcid":"https://orcid.org/0000-0001-5385-6687"},"institutions":[{"id":"https://openalex.org/I76214153","display_name":"Lanzhou University","ror":"https://ror.org/01mkqqe32","country_code":"CN","type":"education","lineage":["https://openalex.org/I76214153"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Heping Zhang","raw_affiliation_strings":["School of Mathematics and Statistics, Lanzhou University, Lanzhou, Gansu 730000, China","School of Mathematics and Statistics, Lanzhou University, Lanzhou, Gansu730000, China#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Lanzhou University, Lanzhou, Gansu 730000, China","institution_ids":["https://openalex.org/I76214153"]},{"raw_affiliation_string":"School of Mathematics and Statistics, Lanzhou University, Lanzhou, Gansu730000, China#TAB#","institution_ids":["https://openalex.org/I76214153"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5056609757"],"corresponding_institution_ids":["https://openalex.org/I76214153"],"apc_list":null,"apc_paid":null,"fwci":2.031,"has_fulltext":false,"cited_by_count":22,"citation_normalized_percentile":{"value":0.88336078,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"93","issue":"8","first_page":"1281","last_page":"1298"},"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/T11342","display_name":"Carbon and Quantum Dots Applications","score":0.9847000241279602,"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"}},{"id":"https://openalex.org/T10018","display_name":"Advancements in Battery Materials","score":0.9835000038146973,"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":0.7227636575698853},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7210454940795898},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.7010810971260071},{"id":"https://openalex.org/keywords/enhanced-data-rates-for-gsm-evolution","display_name":"Enhanced Data Rates for GSM Evolution","score":0.545222818851471},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.5054247379302979},{"id":"https://openalex.org/keywords/cardinality","display_name":"Cardinality (data modeling)","score":0.44678229093551636},{"id":"https://openalex.org/keywords/connectivity","display_name":"Connectivity","score":0.4247277081012726},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.13491606712341309},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.06177163124084473},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.04841655492782593}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7227636575698853},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7210454940795898},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.7010810971260071},{"id":"https://openalex.org/C162307627","wikidata":"https://www.wikidata.org/wiki/Q204833","display_name":"Enhanced Data Rates for GSM Evolution","level":2,"score":0.545222818851471},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5054247379302979},{"id":"https://openalex.org/C87117476","wikidata":"https://www.wikidata.org/wiki/Q362383","display_name":"Cardinality (data modeling)","level":2,"score":0.44678229093551636},{"id":"https://openalex.org/C76444178","wikidata":"https://www.wikidata.org/wiki/Q72897900","display_name":"Connectivity","level":3,"score":0.4247277081012726},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.13491606712341309},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.06177163124084473},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.04841655492782593}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1080/00207160.2015.1067690","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160.2015.1067690","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:ir.lzu.edu.cn/:262010/180649","is_oa":false,"landing_page_url":"http://ir.lzu.edu.cn/handle/262010/180649","pdf_url":null,"source":{"id":"https://openalex.org/S4406923049","display_name":"Lanzhou University Institutional Repository","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article"},{"id":"pmh:oai:ir.lzu.edu.cn/:262010/396118","is_oa":false,"landing_page_url":"http://ir.lzu.edu.cn/handle/262010/396118","pdf_url":null,"source":{"id":"https://openalex.org/S4406923049","display_name":"Lanzhou University Institutional Repository","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Journal article (JA)"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G8849149382","display_name":null,"funder_award_id":"61073046","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":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":35,"referenced_works":["https://openalex.org/W76348209","https://openalex.org/W1544862944","https://openalex.org/W1964519393","https://openalex.org/W1969896247","https://openalex.org/W1989412486","https://openalex.org/W2001291849","https://openalex.org/W2004233679","https://openalex.org/W2007587202","https://openalex.org/W2016801268","https://openalex.org/W2020288150","https://openalex.org/W2065426495","https://openalex.org/W2073491596","https://openalex.org/W2088192017","https://openalex.org/W2091064767","https://openalex.org/W2097608906","https://openalex.org/W2101070933","https://openalex.org/W2119012443","https://openalex.org/W2120120110","https://openalex.org/W2124020123","https://openalex.org/W2126385009","https://openalex.org/W2138153735","https://openalex.org/W2138911352","https://openalex.org/W2144485616","https://openalex.org/W2149149131","https://openalex.org/W2151347250","https://openalex.org/W2154323564","https://openalex.org/W2155950798","https://openalex.org/W2160595559","https://openalex.org/W2161950066","https://openalex.org/W2165021839","https://openalex.org/W2166010209","https://openalex.org/W2166773527","https://openalex.org/W2403690276","https://openalex.org/W4235069566","https://openalex.org/W4247691285"],"related_works":["https://openalex.org/W3092119098","https://openalex.org/W2975955571","https://openalex.org/W3117270560","https://openalex.org/W4299793884","https://openalex.org/W2273372813","https://openalex.org/W2138928785","https://openalex.org/W4381140806","https://openalex.org/W2358695526","https://openalex.org/W4294702976","https://openalex.org/W4299917921"],"abstract_inverted_index":{"Augmented":[0],"k-ary":[1,17],"n-cube":[2],"AQn,k":[3],"is":[4,34,58],"proposed":[5],"as":[6],"a":[7,26,36],"new":[8],"interconnection":[9],"network":[10],"model":[11],"by":[12,55],"Xiang":[13],"and":[14,93],"Steward":[15],"[Augmented":[16],"n-cubes,":[18],"Inform.":[19],"Sci.":[20],"181(1)":[21],"(2011),":[22],"pp.":[23],"239\u2013256].":[24],"For":[25],"connected":[27],"graph":[28],"G,":[29,53],"an":[30],"edge-cut":[31,38],"(vertex-cut)":[32],"S":[33],"called":[35],"restricted":[37,48,64,76,100],"(restricted":[39,50],"vertex-cut)":[40],"if":[41],"G\u2013S":[42],"contains":[43],"no":[44],"isolated":[45],"vertices.":[46],"The":[47],"edge-connectivity":[49],"connectivity)":[51],"of":[52,67,78],"denoted":[54],"\u03bb\u2032(G)":[56],"(\u03ba\u2032(G)),":[57],"the":[59,75],"minimum":[60],"cardinality":[61],"over":[62],"all":[63],"edge-cuts":[65],"(vertex-cuts)":[66],"G.":[68],"In":[69],"this":[70],"paper,":[71],"we":[72],"completely":[73],"determine":[74],"(edge-)connectivity":[77],"AQn,k.":[79],"Precisely,":[80],"\u03bb\u2032(AQn,k)=8n\u22126":[81],"for":[82,85,88,91],"n\u2a7e2;":[83],"\u03ba\u2032(AQ2,k)=8":[84],"k\u2a7e4,":[86,94],"\u03ba\u2032(AQn,3)=8n\u221211":[87],"n\u2a7e3,":[89],"\u03ba\u2032(AQn,k)=8n\u221210":[90],"n\u2a7e3":[92],"but":[95],"AQ2,3":[96],"does":[97],"not":[98],"have":[99],"vertex-cut.":[101]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":4}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2016-06-24T00:00:00"}
