{"id":"https://openalex.org/W4402623634","doi":"https://doi.org/10.1093/comjnl/bxae083","title":"Structure connectivity and substructure connectivity of M\u00f6bius cubes","display_name":"Structure connectivity and substructure connectivity of M\u00f6bius cubes","publication_year":2024,"publication_date":"2024-09-14","ids":{"openalex":"https://openalex.org/W4402623634","doi":"https://doi.org/10.1093/comjnl/bxae083"},"language":"en","primary_location":{"id":"doi:10.1093/comjnl/bxae083","is_oa":false,"landing_page_url":"https://doi.org/10.1093/comjnl/bxae083","pdf_url":null,"source":{"id":"https://openalex.org/S44643521","display_name":"The Computer Journal","issn_l":"0010-4620","issn":["0010-4620","1460-2067"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Computer Journal","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/A5089506617","display_name":"Xiaojun Zhao","orcid":null},"institutions":[{"id":"https://openalex.org/I16609230","display_name":"Hunan University","ror":"https://ror.org/05htk5m33","country_code":"CN","type":"education","lineage":["https://openalex.org/I16609230"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Xiaojun Zhao","raw_affiliation_strings":["School of Mathematics , Hunan University Changsha, Hunan 410082, P. R"],"affiliations":[{"raw_affiliation_string":"School of Mathematics , Hunan University Changsha, Hunan 410082, P. R","institution_ids":["https://openalex.org/I16609230"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5013347360","display_name":"Shudan Xue","orcid":null},"institutions":[{"id":"https://openalex.org/I205237279","display_name":"Nankai University","ror":"https://ror.org/01y1kjr75","country_code":"CN","type":"education","lineage":["https://openalex.org/I205237279"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shudan Xue","raw_affiliation_strings":["Center for Combinatorics , Nankai University Tianjin 300071, P. R"],"affiliations":[{"raw_affiliation_string":"Center for Combinatorics , Nankai University Tianjin 300071, P. R","institution_ids":["https://openalex.org/I205237279"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5070974034","display_name":"Qingying Deng","orcid":"https://orcid.org/0000-0003-3931-435X"},"institutions":[{"id":"https://openalex.org/I4610292","display_name":"Xiangtan University","ror":"https://ror.org/00xsfaz62","country_code":"CN","type":"education","lineage":["https://openalex.org/I4610292"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Qingying Deng","raw_affiliation_strings":["School of Mathematics and Computational Science , Xiangtan University Xiangtan, Hunan 411105, P. R"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Computational Science , Xiangtan University Xiangtan, Hunan 411105, P. R","institution_ids":["https://openalex.org/I4610292"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5070114719","display_name":"Pingshan Li","orcid":"https://orcid.org/0000-0002-6331-0183"},"institutions":[{"id":"https://openalex.org/I4610292","display_name":"Xiangtan University","ror":"https://ror.org/00xsfaz62","country_code":"CN","type":"education","lineage":["https://openalex.org/I4610292"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Pingshan Li","raw_affiliation_strings":["School of Mathematics and Computational Science , Xiangtan University Xiangtan, Hunan 411105, P. R"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Computational Science , Xiangtan University Xiangtan, Hunan 411105, P. R","institution_ids":["https://openalex.org/I4610292"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5089506617"],"corresponding_institution_ids":["https://openalex.org/I16609230"],"apc_list":{"value":2635,"currency":"GBP","value_usd":3232},"apc_paid":null,"fwci":0.6963,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.72153112,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":99},"biblio":{"volume":"67","issue":"12","first_page":"3207","last_page":"3220"},"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/T10179","display_name":"Supercapacitor Materials and Fabrication","score":0.9908999800682068,"subfield":{"id":"https://openalex.org/subfields/2504","display_name":"Electronic, Optical and Magnetic Materials"},"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/T10714","display_name":"Software-Defined Networks and 5G","score":0.989300012588501,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/substructure","display_name":"Substructure","score":0.9307253360748291},{"id":"https://openalex.org/keywords/hypercube","display_name":"Hypercube","score":0.8383932709693909},{"id":"https://openalex.org/keywords/interconnection","display_name":"Interconnection","score":0.6898416876792908},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6592627167701721},{"id":"https://openalex.org/keywords/fault-tolerance","display_name":"Fault tolerance","score":0.5327000617980957},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3650180697441101},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.3438745141029358},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3101591467857361},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.26738181710243225},{"id":"https://openalex.org/keywords/distributed-computing","display_name":"Distributed computing","score":0.26282909512519836},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.22590908408164978},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.17064523696899414},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.0648660659790039}],"concepts":[{"id":"https://openalex.org/C99679407","wikidata":"https://www.wikidata.org/wiki/Q56761637","display_name":"Substructure","level":2,"score":0.9307253360748291},{"id":"https://openalex.org/C50820777","wikidata":"https://www.wikidata.org/wiki/Q213723","display_name":"Hypercube","level":2,"score":0.8383932709693909},{"id":"https://openalex.org/C123745756","wikidata":"https://www.wikidata.org/wiki/Q1665949","display_name":"Interconnection","level":2,"score":0.6898416876792908},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6592627167701721},{"id":"https://openalex.org/C63540848","wikidata":"https://www.wikidata.org/wiki/Q3140932","display_name":"Fault tolerance","level":2,"score":0.5327000617980957},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3650180697441101},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.3438745141029358},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3101591467857361},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.26738181710243225},{"id":"https://openalex.org/C120314980","wikidata":"https://www.wikidata.org/wiki/Q180634","display_name":"Distributed computing","level":1,"score":0.26282909512519836},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.22590908408164978},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.17064523696899414},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0648660659790039},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1093/comjnl/bxae083","is_oa":false,"landing_page_url":"https://doi.org/10.1093/comjnl/bxae083","pdf_url":null,"source":{"id":"https://openalex.org/S44643521","display_name":"The Computer Journal","issn_l":"0010-4620","issn":["0010-4620","1460-2067"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Computer Journal","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G6383647807","display_name":null,"funder_award_id":"2022JJ40418","funder_id":"https://openalex.org/F4320322843","funder_display_name":"Natural Science Foundation of\u00a0Hunan Province"},{"id":"https://openalex.org/G867378110","display_name":null,"funder_award_id":"12001464","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"},{"id":"https://openalex.org/F4320322843","display_name":"Natural Science Foundation of\u00a0Hunan Province","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":36,"referenced_works":["https://openalex.org/W1971967319","https://openalex.org/W1989412486","https://openalex.org/W2014445123","https://openalex.org/W2020274332","https://openalex.org/W2050591489","https://openalex.org/W2060843867","https://openalex.org/W2105629997","https://openalex.org/W2124069917","https://openalex.org/W2161950066","https://openalex.org/W2169989080","https://openalex.org/W2191831997","https://openalex.org/W2338928843","https://openalex.org/W2741878740","https://openalex.org/W2777090724","https://openalex.org/W2914354594","https://openalex.org/W2967859923","https://openalex.org/W2970021913","https://openalex.org/W2972312980","https://openalex.org/W2973731780","https://openalex.org/W2982162357","https://openalex.org/W3007807835","https://openalex.org/W3016675123","https://openalex.org/W3017395036","https://openalex.org/W3022066884","https://openalex.org/W3085601469","https://openalex.org/W3097783333","https://openalex.org/W3166467238","https://openalex.org/W4205419714","https://openalex.org/W4214524324","https://openalex.org/W4220669268","https://openalex.org/W4232896595","https://openalex.org/W4237486254","https://openalex.org/W6639809130","https://openalex.org/W6747157350","https://openalex.org/W6769736698","https://openalex.org/W6791228224"],"related_works":["https://openalex.org/W3153444835","https://openalex.org/W2408672689","https://openalex.org/W2164804258","https://openalex.org/W228919569","https://openalex.org/W1524302211","https://openalex.org/W2179700442","https://openalex.org/W2122510693","https://openalex.org/W2131847912","https://openalex.org/W2115084062","https://openalex.org/W2144670680"],"abstract_inverted_index":{"Abstract":[0],"The":[1],"connectivity":[2,28,33,36,72,75],"is":[3,55,81],"an":[4],"important":[5],"measurement":[6],"for":[7,17],"the":[8,18,23,48,52],"fault-tolerance":[9,19],"of":[10,20,27,41,47,76],"networks.":[11],"To":[12],"provide":[13],"more":[14],"accurate":[15],"measures":[16],"networks":[21],"than":[22],"connectivity,":[24],"some":[25],"generalizations":[26],"have":[29],"been":[30],"introduced.":[31],"Substructure":[32],"and":[34,63,73,85],"structure":[35],"are":[37],"two":[38],"extended":[39],"concepts":[40],"classical":[42],"connectivity.":[43],"As":[44],"a":[45,57],"variant":[46],"popular":[49],"network":[50,60],"hypercube,":[51],"M\u00f6bius":[53,77],"cubes":[54,78],"also":[56],"famous":[58],"interconnection":[59],"in":[61],"parallel":[62],"distributed":[64],"systems.":[65],"In":[66],"this":[67],"article,":[68],"we":[69],"calculate":[70],"$H$-substructure":[71],"$H$-structure":[74],"when":[79],"$H$":[80],"isomorphic":[82],"to":[83],"$P_{m},C_{m}$":[84],"$K_{1,m}$.":[86]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1}],"updated_date":"2026-03-31T07:56:22.981413","created_date":"2025-10-10T00:00:00"}