{"id":"https://openalex.org/W3110371578","doi":"https://doi.org/10.1142/s0219265920500115","title":"Connectivity and Nature Diagnosability of Leaf-Sort Graphs","display_name":"Connectivity and Nature Diagnosability of Leaf-Sort Graphs","publication_year":2020,"publication_date":"2020-09-01","ids":{"openalex":"https://openalex.org/W3110371578","doi":"https://doi.org/10.1142/s0219265920500115","mag":"3110371578"},"language":"en","primary_location":{"id":"doi:10.1142/s0219265920500115","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0219265920500115","pdf_url":null,"source":{"id":"https://openalex.org/S63112013","display_name":"Journal of Interconnection Networks","issn_l":"0219-2659","issn":["0219-2659","1793-6713"],"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":"Journal of Interconnection Networks","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/A5101103670","display_name":"Jutao Zhao","orcid":null},"institutions":[{"id":"https://openalex.org/I115067436","display_name":"Changzhi University","ror":"https://ror.org/04svmxd14","country_code":"CN","type":"education","lineage":["https://openalex.org/I115067436"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"JUTAO ZHAO","raw_affiliation_strings":["Department of Mathematics, Changzhi University, Changzhi, Shanxi 046011, PR China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Changzhi University, Changzhi, Shanxi 046011, PR China","institution_ids":["https://openalex.org/I115067436"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100752098","display_name":"Shiying Wang","orcid":"https://orcid.org/0000-0001-9335-3005"},"institutions":[{"id":"https://openalex.org/I94310126","display_name":"Shanxi Normal University","ror":"https://ror.org/03zd3ta61","country_code":"CN","type":"education","lineage":["https://openalex.org/I94310126"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"SHIYING WANG","raw_affiliation_strings":["School of Mathematics and Computer Science, Shanxi Normal University, Linfen, Shanxi 041004, PR China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Computer Science, Shanxi Normal University, Linfen, Shanxi 041004, PR China","institution_ids":["https://openalex.org/I94310126"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5100752098"],"corresponding_institution_ids":["https://openalex.org/I94310126"],"apc_list":null,"apc_paid":null,"fwci":0.1546,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.54720371,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"20","issue":"03","first_page":"2050011","last_page":"2050011"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10829","display_name":"Interconnection Networks and Systems","score":0.9995999932289124,"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":0.9995999932289124,"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/T11476","display_name":"Graph theory and applications","score":0.9882000088691711,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12541","display_name":"Graph Labeling and Dimension Problems","score":0.9624000191688538,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/interconnection","display_name":"Interconnection","score":0.8407602310180664},{"id":"https://openalex.org/keywords/sort","display_name":"sort","score":0.7344992756843567},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5995396375656128},{"id":"https://openalex.org/keywords/enhanced-data-rates-for-gsm-evolution","display_name":"Enhanced Data Rates for GSM Evolution","score":0.5270243883132935},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.5251157879829407},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.50008225440979},{"id":"https://openalex.org/keywords/multiprocessing","display_name":"Multiprocessing","score":0.48297515511512756},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4778408706188202},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4696986675262451},{"id":"https://openalex.org/keywords/network-topology","display_name":"Network topology","score":0.44447270035743713},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.42132487893104553},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.20112848281860352},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.14484485983848572},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.10627961158752441},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.07630577683448792}],"concepts":[{"id":"https://openalex.org/C123745756","wikidata":"https://www.wikidata.org/wiki/Q1665949","display_name":"Interconnection","level":2,"score":0.8407602310180664},{"id":"https://openalex.org/C88548561","wikidata":"https://www.wikidata.org/wiki/Q347599","display_name":"sort","level":2,"score":0.7344992756843567},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5995396375656128},{"id":"https://openalex.org/C162307627","wikidata":"https://www.wikidata.org/wiki/Q204833","display_name":"Enhanced Data Rates for GSM Evolution","level":2,"score":0.5270243883132935},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.5251157879829407},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.50008225440979},{"id":"https://openalex.org/C4822641","wikidata":"https://www.wikidata.org/wiki/Q846651","display_name":"Multiprocessing","level":2,"score":0.48297515511512756},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4778408706188202},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4696986675262451},{"id":"https://openalex.org/C199845137","wikidata":"https://www.wikidata.org/wiki/Q145490","display_name":"Network topology","level":2,"score":0.44447270035743713},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.42132487893104553},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.20112848281860352},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.14484485983848572},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.10627961158752441},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.07630577683448792}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0219265920500115","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0219265920500115","pdf_url":null,"source":{"id":"https://openalex.org/S63112013","display_name":"Journal of Interconnection Networks","issn_l":"0219-2659","issn":["0219-2659","1793-6713"],"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":"Journal of Interconnection Networks","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2361805396","https://openalex.org/W2972254340","https://openalex.org/W2155019192","https://openalex.org/W2022231341","https://openalex.org/W1805912688","https://openalex.org/W2014709025","https://openalex.org/W4255476312","https://openalex.org/W2520291760","https://openalex.org/W2391376741","https://openalex.org/W1976459683"],"abstract_inverted_index":{"The":[0,17],"connectivity":[1,60],"and":[2,19,74,112,141],"diagnosability":[3,94,122],"of":[4,37,61,95,123],"a":[5,23,30,33],"multiprocessor":[6],"system":[7,18],"or":[8],"an":[9,13],"interconnection":[10,20,38],"network":[11,21],"is":[12,67,87,105,134],"important":[14],"research":[15],"topic.":[16],"has":[22,46],"underlying":[24],"topology,":[25],"which":[26],"usually":[27],"presented":[28],"by":[29],"graph.":[31],"As":[32],"famous":[34],"topology":[35],"structure":[36],"networks,":[39],"the":[40,57,92,102,120,130],"n-dimensional":[41],"leaf-sort":[42],"graph":[43],"CF":[44,62,82,96,124],"n":[45,63,73,83,97,111,125,140],"many":[47],"good":[48],"properties.":[49],"In":[50],"this":[51],"paper,":[52],"we":[53],"prove":[54],"that":[55],"(a)":[56],"restricted":[58,89],"edge":[59],"(n":[64,84,98,126],"\u2265":[65,85,99,127],"3)":[66],"3n":[68,75,106,113,135,142],"\u2212":[69,76,107,114,136,143],"5":[70,115,144],"for":[71,78,109,116,138,145],"odd":[72,110,139],"6":[77],"even":[79,117,146],"n;":[80,118],"(b)":[81],"5)":[86,128],"super":[88],"edge-connected;":[90],"(c)":[91],"nature":[93,121],"4)":[100],"under":[101,129],"PMC":[103],"model":[104,133],"4":[108,137],"(d)":[119],"MM":[131],"*":[132],"n.":[147]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
