{"id":"https://openalex.org/W2997606420","doi":"https://doi.org/10.1142/s0129054119500278","title":"Fault-Tolerant Maximal Local-Connectivity on Cayley Graphs Generated by Transpositions","display_name":"Fault-Tolerant Maximal Local-Connectivity on Cayley Graphs Generated by Transpositions","publication_year":2019,"publication_date":"2019-12-01","ids":{"openalex":"https://openalex.org/W2997606420","doi":"https://doi.org/10.1142/s0129054119500278","mag":"2997606420"},"language":"en","primary_location":{"id":"doi:10.1142/s0129054119500278","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0129054119500278","pdf_url":null,"source":{"id":"https://openalex.org/S68047077","display_name":"International Journal of Foundations of Computer Science","issn_l":"0129-0541","issn":["0129-0541","1793-6373"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Foundations of Computer Science","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, Fujian 361021, P. R. China"],"affiliations":[{"raw_affiliation_string":"School of Science, Jimei University, Xiamen, Fujian 361021, P. R. China","institution_ids":["https://openalex.org/I161346416"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5088259893","display_name":"Shuming Zhou","orcid":"https://orcid.org/0000-0001-6481-3981"},"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, Fujian 350007, P. R. China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Computer Science, Fujian Normal University, Fuzhou, Fujian 350007, P. R. 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, Shanxi 030024, P. R. China"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Taiyuan University of Technology, Taiyuan, Shanxi 030024, P. R. 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":0.8842,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.77748569,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"30","issue":"08","first_page":"1301","last_page":"1315"},"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/T10179","display_name":"Supercapacitor Materials and Fabrication","score":0.9836999773979187,"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/T10796","display_name":"Cooperative Communication and Network Coding","score":0.978600025177002,"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/combinatorics","display_name":"Combinatorics","score":0.7159751057624817},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.5762313604354858},{"id":"https://openalex.org/keywords/cayley-graph","display_name":"Cayley graph","score":0.5290982723236084},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.528708815574646},{"id":"https://openalex.org/keywords/disjoint-sets","display_name":"Disjoint sets","score":0.49126356840133667},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4268852174282074},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.35886305570602417},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.3220394253730774}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7159751057624817},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.5762313604354858},{"id":"https://openalex.org/C120204988","wikidata":"https://www.wikidata.org/wiki/Q859174","display_name":"Cayley graph","level":3,"score":0.5290982723236084},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.528708815574646},{"id":"https://openalex.org/C45340560","wikidata":"https://www.wikidata.org/wiki/Q215382","display_name":"Disjoint sets","level":2,"score":0.49126356840133667},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4268852174282074},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.35886305570602417},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.3220394253730774}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0129054119500278","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0129054119500278","pdf_url":null,"source":{"id":"https://openalex.org/S68047077","display_name":"International Journal of Foundations of Computer Science","issn_l":"0129-0541","issn":["0129-0541","1793-6373"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Foundations of Computer Science","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G6529452098","display_name":null,"funder_award_id":"11671296","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":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":39,"referenced_works":["https://openalex.org/W159485782","https://openalex.org/W639608796","https://openalex.org/W976211528","https://openalex.org/W1583642359","https://openalex.org/W1589359552","https://openalex.org/W1988207509","https://openalex.org/W1988993295","https://openalex.org/W1990965489","https://openalex.org/W1992220284","https://openalex.org/W1993548207","https://openalex.org/W1995838217","https://openalex.org/W2006394420","https://openalex.org/W2020709775","https://openalex.org/W2023719224","https://openalex.org/W2038632864","https://openalex.org/W2042466864","https://openalex.org/W2045389304","https://openalex.org/W2048864093","https://openalex.org/W2066502816","https://openalex.org/W2093610648","https://openalex.org/W2101573191","https://openalex.org/W2104852618","https://openalex.org/W2125298220","https://openalex.org/W2150082598","https://openalex.org/W2186079707","https://openalex.org/W2279278398","https://openalex.org/W2314192334","https://openalex.org/W2523287040","https://openalex.org/W2561675875","https://openalex.org/W2569222324","https://openalex.org/W2616697874","https://openalex.org/W2766266225","https://openalex.org/W2790195003","https://openalex.org/W4212771512","https://openalex.org/W4232896595","https://openalex.org/W4238591275","https://openalex.org/W4252998490","https://openalex.org/W4254221886","https://openalex.org/W4254456779"],"related_works":["https://openalex.org/W4256429076","https://openalex.org/W1971174658","https://openalex.org/W2099195351","https://openalex.org/W2066808294","https://openalex.org/W4226275486","https://openalex.org/W2320114089","https://openalex.org/W2021255209","https://openalex.org/W1571832314","https://openalex.org/W2244024694","https://openalex.org/W1553466895"],"abstract_inverted_index":{"An":[0],"interconnection":[1,30],"network":[2],"is":[3,22,37],"usually":[4],"modeled":[5],"as":[6],"a":[7,101],"graph,":[8],"in":[9],"which":[10],"vertices":[11,47],"and":[12,17,51,85],"edges":[13],"correspond":[14],"to":[15,39],"processors":[16],"communication":[18],"links,":[19],"respectively.":[20],"Connectivity":[21],"an":[23],"important":[24],"metric":[25],"for":[26],"fault":[27],"tolerance":[28],"of":[29,46],"networks.":[31],"A":[32],"graph":[33],"[Formula:":[34,48,52,58,73,80,88,103,137,144],"see":[35,49,53,59,74,76,81,89,104,138,140,145],"text]":[36,50,54,60],"said":[38],"be":[40],"maximally":[41,83,92,107,147],"local-connected":[42,84,93,108,148],"if":[43,94,109,149],"each":[44,124],"pair":[45],"are":[55,79,86,143],"connected":[56],"by":[57,72,136],"vertex-disjoint":[61],"paths.":[62],"In":[63],"this":[64],"paper,":[65],"we":[66],"show":[67],"that":[68,123],"Cayley":[69,133],"graphs":[70,99,114,134,154],"generated":[71,135],"text]([Formula:":[75,139],"text])":[77,141],"transpositions":[78,142],"text]-fault-tolerant":[82,90,105,146],"also":[87],"one-to-many":[91,106],"their":[95,110,150],"corresponding":[96,111,151],"transposition":[97,112,152],"generating":[98,113,153],"have":[100,115,155],"triangle,":[102],"no":[116,156],"triangles.":[117,157],"Furthermore,":[118],"under":[119],"the":[120],"restricted":[121],"condition":[122],"vertex":[125],"has":[126],"at":[127],"least":[128],"two":[129],"fault-free":[130],"adjacent":[131],"vertices,":[132]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}