{"id":"https://openalex.org/W2945113912","doi":"https://doi.org/10.1080/17445760.2019.1618462","title":"Component connectivity of Cayley graphs generated by transposition trees","display_name":"Component connectivity of Cayley graphs generated by transposition trees","publication_year":2019,"publication_date":"2019-05-15","ids":{"openalex":"https://openalex.org/W2945113912","doi":"https://doi.org/10.1080/17445760.2019.1618462","mag":"2945113912"},"language":"en","primary_location":{"id":"doi:10.1080/17445760.2019.1618462","is_oa":false,"landing_page_url":"https://doi.org/10.1080/17445760.2019.1618462","pdf_url":null,"source":{"id":"https://openalex.org/S85375271","display_name":"International Journal of Parallel Emergent and Distributed Systems","issn_l":"1744-5760","issn":["1744-5760","1744-5779"],"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 Parallel, Emergent and Distributed Systems","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/A5001965029","display_name":"Liqiong Xu","orcid":"https://orcid.org/0000-0003-2060-9289"},"institutions":[{"id":"https://openalex.org/I161346416","display_name":"Jimei University","ror":"https://ror.org/03hknyb50","country_code":"CN","type":"education","lineage":["https://openalex.org/I161346416"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Liqiong Xu","raw_affiliation_strings":["School of Science, Jimei University, Xiamen, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"School of Science, Jimei University, Xiamen, People's Republic of China","institution_ids":["https://openalex.org/I161346416"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5042806196","display_name":"Shuming Zhou","orcid":"https://orcid.org/0000-0002-2114-7162"},"institutions":[{"id":"https://openalex.org/I111753288","display_name":"Fujian Normal University","ror":"https://ror.org/020azk594","country_code":"CN","type":"education","lineage":["https://openalex.org/I111753288"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shuming Zhou","raw_affiliation_strings":["School of Mathematics and Computer Science, Fujian Normal University, Fuzhou, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Computer Science, Fujian Normal University, Fuzhou, People's Republic of China","institution_ids":["https://openalex.org/I111753288"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5113891028","display_name":"Weihua Yang","orcid":null},"institutions":[{"id":"https://openalex.org/I9086337","display_name":"Taiyuan University of Technology","ror":"https://ror.org/03kv08d37","country_code":"CN","type":"education","lineage":["https://openalex.org/I9086337"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Weihua Yang","raw_affiliation_strings":["Department of Mathematics, Taiyuan University of Technology, Taiyuan, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Taiyuan University of Technology, Taiyuan, People's Republic of China","institution_ids":["https://openalex.org/I9086337"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5001965029"],"corresponding_institution_ids":["https://openalex.org/I161346416"],"apc_list":null,"apc_paid":null,"fwci":1.7686,"has_fulltext":false,"cited_by_count":19,"citation_normalized_percentile":{"value":0.86056242,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"35","issue":"1","first_page":"103","last_page":"110"},"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":0.9843000173568726,"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/T11342","display_name":"Carbon and Quantum Dots Applications","score":0.9810000061988831,"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/combinatorics","display_name":"Combinatorics","score":0.8279411792755127},{"id":"https://openalex.org/keywords/cayley-graph","display_name":"Cayley graph","score":0.6868526935577393},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5866456627845764},{"id":"https://openalex.org/keywords/component","display_name":"Component (thermodynamics)","score":0.5475876331329346},{"id":"https://openalex.org/keywords/connected-component","display_name":"Connected component","score":0.4921101927757263},{"id":"https://openalex.org/keywords/connectivity","display_name":"Connectivity","score":0.4782896637916565},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4518902897834778},{"id":"https://openalex.org/keywords/transposition","display_name":"Transposition (logic)","score":0.4228595495223999},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3647601008415222},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07717043161392212},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.056676626205444336}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8279411792755127},{"id":"https://openalex.org/C120204988","wikidata":"https://www.wikidata.org/wiki/Q859174","display_name":"Cayley graph","level":3,"score":0.6868526935577393},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5866456627845764},{"id":"https://openalex.org/C168167062","wikidata":"https://www.wikidata.org/wiki/Q1117970","display_name":"Component (thermodynamics)","level":2,"score":0.5475876331329346},{"id":"https://openalex.org/C193435613","wikidata":"https://www.wikidata.org/wiki/Q2997928","display_name":"Connected component","level":2,"score":0.4921101927757263},{"id":"https://openalex.org/C76444178","wikidata":"https://www.wikidata.org/wiki/Q72897900","display_name":"Connectivity","level":3,"score":0.4782896637916565},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4518902897834778},{"id":"https://openalex.org/C12455157","wikidata":"https://www.wikidata.org/wiki/Q7835331","display_name":"Transposition (logic)","level":2,"score":0.4228595495223999},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3647601008415222},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07717043161392212},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.056676626205444336},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/17445760.2019.1618462","is_oa":false,"landing_page_url":"https://doi.org/10.1080/17445760.2019.1618462","pdf_url":null,"source":{"id":"https://openalex.org/S85375271","display_name":"International Journal of Parallel Emergent and Distributed Systems","issn_l":"1744-5760","issn":["1744-5760","1744-5779"],"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 Parallel, Emergent and Distributed Systems","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1315816720","display_name":null,"funder_award_id":"11571139","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G1392393666","display_name":null,"funder_award_id":"2017J01738","funder_id":"https://openalex.org/F4320321878","funder_display_name":"Natural Science Foundation of Fujian Province"},{"id":"https://openalex.org/G4119427178","display_name":null,"funder_award_id":"61572010","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4878294903","display_name":null,"funder_award_id":"11301217","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G789802098","display_name":null,"funder_award_id":"2018J01419","funder_id":"https://openalex.org/F4320321878","funder_display_name":"Natural Science Foundation of Fujian Province"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320321878","display_name":"Natural Science Foundation of Fujian Province","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W247697463","https://openalex.org/W1975574007","https://openalex.org/W1980648360","https://openalex.org/W1988207509","https://openalex.org/W2006394420","https://openalex.org/W2014445123","https://openalex.org/W2034949854","https://openalex.org/W2038632864","https://openalex.org/W2042641331","https://openalex.org/W2048864093","https://openalex.org/W2067448873","https://openalex.org/W2104852618","https://openalex.org/W2107492490","https://openalex.org/W2420633002","https://openalex.org/W2569222324","https://openalex.org/W2767008358","https://openalex.org/W2799654715","https://openalex.org/W4252998490"],"related_works":["https://openalex.org/W178077491","https://openalex.org/W4225474873","https://openalex.org/W2521408379","https://openalex.org/W4322767636","https://openalex.org/W3019714789","https://openalex.org/W4379118151","https://openalex.org/W1984251932","https://openalex.org/W2014594560","https://openalex.org/W2143340273","https://openalex.org/W938372727"],"abstract_inverted_index":{"Connectivity":[0],"is":[1,32,50],"an":[2],"important":[3],"measure":[4],"to":[5],"explore":[6],"the":[7,13,51,54,72,90,106],"fault":[8],"tolerance":[9],"and":[10,85,105,108,115],"reliability":[11],"of":[12,30,36,48,53,75,94,111],"network":[14],"structure":[15],"based":[16],"on":[17],"a":[18,24,33],"graph":[19],"model.":[20],"Let":[21],"G=(V,E)":[22],"be":[23,64],"connected":[25],"graph.":[26],"A":[27],"r-component":[28,45,56,59,73,91],"cut":[29],"G":[31,49],"set":[34],"S":[35],"vertices,":[37],"G\u2212S":[38],"has":[39],"at":[40],"least":[41],"r":[42,104],"components.":[43],"The":[44,58],"connectivity":[46,61,74,93],"c\u03bar(G)":[47],"size":[52],"smallest":[55],"cut.":[57],"edge":[60,92],"c\u03bbr(G)":[62],"can":[63],"defined":[65],"similarly.":[66],"In":[67],"this":[68],"paper,":[69],"we":[70,87],"determine":[71],"Cayley":[76,95],"graphs":[77,96],"generated":[78,97],"by":[79,98],"transposition":[80,99],"trees":[81,100],"c\u03bar+1(Tn)=r(n\u22121)\u2212r(r+1)/2+1":[82],"for":[83,102,113],"r=1,2,\u2026,n\u22121":[84,114],"n\u22653;":[86],"also":[88],"obtain":[89],"Tn":[101],"small":[103],"upper":[107],"lower":[109],"bounds":[110],"c\u03bbr+1(Tn)":[112],"n\u22653.":[116]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}