{"id":"https://openalex.org/W4414036076","doi":"https://doi.org/10.1093/comjnl/bxaf105","title":"Parallel construction of multiple independent spanning trees on 3-ary <i>n</i> -cube networks","display_name":"Parallel construction of multiple independent spanning trees on 3-ary <i>n</i> -cube networks","publication_year":2025,"publication_date":"2025-08-26","ids":{"openalex":"https://openalex.org/W4414036076","doi":"https://doi.org/10.1093/comjnl/bxaf105"},"language":"en","primary_location":{"id":"doi:10.1093/comjnl/bxaf105","is_oa":false,"landing_page_url":"https://doi.org/10.1093/comjnl/bxaf105","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/A5039941317","display_name":"Weibei Fan","orcid":"https://orcid.org/0000-0003-1255-5815"},"institutions":[{"id":"https://openalex.org/I41198531","display_name":"Nanjing University of Posts and Telecommunications","ror":"https://ror.org/043bpky34","country_code":"CN","type":"education","lineage":["https://openalex.org/I41198531"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Weibei Fan","raw_affiliation_strings":["School of Computer, Nanjing University of Posts and Telecommunications , 9 Wenyuan Road, Xianlin University Town, Qixia District, Nanjing City, Jiangsu Province 210023 ,"],"affiliations":[{"raw_affiliation_string":"School of Computer, Nanjing University of Posts and Telecommunications , 9 Wenyuan Road, Xianlin University Town, Qixia District, Nanjing City, Jiangsu Province 210023 ,","institution_ids":["https://openalex.org/I41198531"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5087025634","display_name":"Yuzhen Xu","orcid":"https://orcid.org/0000-0002-1289-3438"},"institutions":[{"id":"https://openalex.org/I41198531","display_name":"Nanjing University of Posts and Telecommunications","ror":"https://ror.org/043bpky34","country_code":"CN","type":"education","lineage":["https://openalex.org/I41198531"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yuzhen Xu","raw_affiliation_strings":["School of Computer, Nanjing University of Posts and Telecommunications , 9 Wenyuan Road, Xianlin University Town, Qixia District, Nanjing City, Jiangsu Province 210023 ,"],"affiliations":[{"raw_affiliation_string":"School of Computer, Nanjing University of Posts and Telecommunications , 9 Wenyuan Road, Xianlin University Town, Qixia District, Nanjing City, Jiangsu Province 210023 ,","institution_ids":["https://openalex.org/I41198531"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5028086075","display_name":"Mengjie Lv","orcid":"https://orcid.org/0000-0002-1173-3766"},"institutions":[{"id":"https://openalex.org/I41198531","display_name":"Nanjing University of Posts and Telecommunications","ror":"https://ror.org/043bpky34","country_code":"CN","type":"education","lineage":["https://openalex.org/I41198531"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Mengjie Lv","raw_affiliation_strings":["School of Computer, Nanjing University of Posts and Telecommunications , 9 Wenyuan Road, Xianlin University Town, Qixia District, Nanjing City, Jiangsu Province 210023 ,"],"affiliations":[{"raw_affiliation_string":"School of Computer, Nanjing University of Posts and Telecommunications , 9 Wenyuan Road, Xianlin University Town, Qixia District, Nanjing City, Jiangsu Province 210023 ,","institution_ids":["https://openalex.org/I41198531"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5080409387","display_name":"Xueli Sun","orcid":"https://orcid.org/0000-0003-2305-9489"},"institutions":[{"id":"https://openalex.org/I41198531","display_name":"Nanjing University of Posts and Telecommunications","ror":"https://ror.org/043bpky34","country_code":"CN","type":"education","lineage":["https://openalex.org/I41198531"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xueli Sun","raw_affiliation_strings":["School of Computer, Nanjing University of Posts and Telecommunications , 9 Wenyuan Road, Xianlin University Town, Qixia District, Nanjing City, Jiangsu Province 210023 ,"],"affiliations":[{"raw_affiliation_string":"School of Computer, Nanjing University of Posts and Telecommunications , 9 Wenyuan Road, Xianlin University Town, Qixia District, Nanjing City, Jiangsu Province 210023 ,","institution_ids":["https://openalex.org/I41198531"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5039941317"],"corresponding_institution_ids":["https://openalex.org/I41198531"],"apc_list":{"value":2635,"currency":"GBP","value_usd":3232},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.32979711,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"69","issue":"1","first_page":"148","last_page":"161"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10829","display_name":"Interconnection Networks and Systems","score":0.9998999834060669,"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":0.9998999834060669,"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/T10847","display_name":"Advanced Optical Network Technologies","score":0.9993000030517578,"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"}},{"id":"https://openalex.org/T11522","display_name":"VLSI and FPGA Design Techniques","score":0.9990000128746033,"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/spanning-tree","display_name":"Spanning tree","score":0.7159267663955688},{"id":"https://openalex.org/keywords/cube","display_name":"Cube (algebra)","score":0.7126131653785706},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6739295721054077},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.34131336212158203},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3162424564361572},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2185496687889099}],"concepts":[{"id":"https://openalex.org/C64331007","wikidata":"https://www.wikidata.org/wiki/Q831672","display_name":"Spanning tree","level":2,"score":0.7159267663955688},{"id":"https://openalex.org/C53051483","wikidata":"https://www.wikidata.org/wiki/Q861555","display_name":"Cube (algebra)","level":2,"score":0.7126131653785706},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6739295721054077},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.34131336212158203},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3162424564361572},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2185496687889099}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1093/comjnl/bxaf105","is_oa":false,"landing_page_url":"https://doi.org/10.1093/comjnl/bxaf105","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/G1872422098","display_name":null,"funder_award_id":"62372248","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G1986163842","display_name":null,"funder_award_id":"BK20200753","funder_id":"https://openalex.org/F4320322769","funder_display_name":"Natural Science Foundation of Jiangsu Province"},{"id":"https://openalex.org/G2226031556","display_name":null,"funder_award_id":"62302235","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3739737156","display_name":null,"funder_award_id":"62402241","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6366767140","display_name":null,"funder_award_id":"BK20230352","funder_id":"https://openalex.org/F4320322769","funder_display_name":"Natural Science Foundation of Jiangsu Province"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320322769","display_name":"Natural Science Foundation of Jiangsu Province","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":37,"referenced_works":["https://openalex.org/W1967548269","https://openalex.org/W1975422095","https://openalex.org/W1979256582","https://openalex.org/W1985686412","https://openalex.org/W2015485656","https://openalex.org/W2018477012","https://openalex.org/W2063440615","https://openalex.org/W2095183018","https://openalex.org/W2560275761","https://openalex.org/W2607241962","https://openalex.org/W2793903334","https://openalex.org/W2954681430","https://openalex.org/W2971284319","https://openalex.org/W2981283987","https://openalex.org/W3059396209","https://openalex.org/W3084775690","https://openalex.org/W3115429920","https://openalex.org/W3164465569","https://openalex.org/W3193723508","https://openalex.org/W4206030905","https://openalex.org/W4210862792","https://openalex.org/W4293796032","https://openalex.org/W4295981432","https://openalex.org/W4309942225","https://openalex.org/W4317515973","https://openalex.org/W4319069163","https://openalex.org/W4361226316","https://openalex.org/W4362554158","https://openalex.org/W4362654403","https://openalex.org/W4379879488","https://openalex.org/W4381730599","https://openalex.org/W4385748588","https://openalex.org/W4385819724","https://openalex.org/W4386090328","https://openalex.org/W4388720202","https://openalex.org/W4404413198","https://openalex.org/W4405470378"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2899084033","https://openalex.org/W2748952813","https://openalex.org/W2390279801","https://openalex.org/W4405810791","https://openalex.org/W4391913857","https://openalex.org/W2358668433","https://openalex.org/W4283690284","https://openalex.org/W4296605418","https://openalex.org/W4385493656"],"abstract_inverted_index":{"Abstract":[0],"High-performance":[1],"computing":[2],"utilizes":[3],"powerful":[4],"processor":[5],"clusters":[6],"to":[7,44,70],"parallel":[8,105],"process":[9],"big":[10],"data":[11,47],"and":[12,30,40,97,123,129],"solve":[13],"complex":[14],"problems":[15],"at":[16,172],"extremely":[17],"high":[18],"speeds,":[19],"relying":[20],"significantly":[21],"on":[22,111],"interconnection":[23],"networks.":[24],"As":[25],"networks":[26,36],"grow":[27],"in":[28,163],"scale":[29],"complexity,":[31],"failures":[32],"become":[33],"unavoidable.":[34],"Interconnection":[35],"demand":[37],"consistent":[38],"operation":[39],"efficient":[41],"routing":[42,52,139,147],"algorithms":[43,106],"enable":[45],"smooth":[46],"transmission":[48,164],"among":[49],"processors.":[50],"Fault-tolerant":[51],"is":[53,66,141,155],"essential":[54],"for":[55,107],"assessing":[56],"network":[57,72,86],"reliability.":[58],"The":[59],"application":[60],"of":[61,80,127,152],"independent":[62],"spanning":[63],"trees":[64],"(ISTs)":[65],"an":[67,161],"effective":[68],"method":[69],"enhance":[71],"fault":[73],"tolerance.":[74],"Regarded":[75],"as":[76,92,145,167],"a":[77,137],"significant":[78],"extension":[79],"the":[81,83,116,121,146,150,180],"hypercube,":[82],"$3$-ary":[84],"$n$-cube":[85],"$(Q^{3}_{n})$":[87],"boasts":[88],"many":[89],"advantageous":[90],"such":[91],"low":[93],"vertex":[94],"degree,":[95],"regularity,":[96],"straightforward":[98],"implementation.":[99],"In":[100],"this":[101,153],"paper,":[102],"we":[103,182],"introduce":[104],"generating":[108],"$2n$":[109,114],"ISTs":[110,128],"$Q^{3}_{n}$,":[112],"where":[113],"represents":[115],"maximum":[117],"achievable":[118],"number,":[119],"enhancing":[120],"efficiency":[122],"obtaining":[124],"additional":[125],"sets":[126],"disjoint":[130],"paths.":[131],"Building":[132],"upon":[133],"previously":[134],"constructed":[135],"ISTs,":[136],"fault-tolerant":[138],"system":[140],"developed,":[142],"utilizing":[143],"them":[144],"table.":[148],"Subsequently,":[149],"effectiveness":[151],"mechanism":[154],"assessed":[156],"through":[157],"simulated":[158],"data,":[159],"showing":[160],"increment":[162],"success":[165],"rates":[166],"dimensionality":[168],"grows,":[169],"nearing":[170],"near-perfection":[171],"almost":[173],"$100\\%$.":[174],"These":[175],"results":[176],"also":[177],"reveal":[178],"that":[179],"algorithm":[181],"proposed":[183],"demonstrates":[184],"better":[185],"performance":[186],"than":[187],"traditional":[188],"classical":[189],"algorithms.":[190]},"counts_by_year":[],"updated_date":"2026-01-21T23:30:37.877113","created_date":"2025-10-10T00:00:00"}
