{"id":"https://openalex.org/W3097639538","doi":"https://doi.org/10.1142/s0129626420400046","title":"Connectivity and Diagnosability of Leaf-Sort Graphs","display_name":"Connectivity and Diagnosability of Leaf-Sort Graphs","publication_year":2020,"publication_date":"2020-09-01","ids":{"openalex":"https://openalex.org/W3097639538","doi":"https://doi.org/10.1142/s0129626420400046","mag":"3097639538"},"language":"en","primary_location":{"id":"doi:10.1142/s0129626420400046","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0129626420400046","pdf_url":null,"source":{"id":"https://openalex.org/S18360026","display_name":"Parallel Processing Letters","issn_l":"0129-6264","issn":["0129-6264","1793-642X"],"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":"Parallel Processing Letters","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/A5010647258","display_name":"Mujiangshan Wang","orcid":"https://orcid.org/0000-0003-0950-4558"},"institutions":[{"id":"https://openalex.org/I99065089","display_name":"Tsinghua University","ror":"https://ror.org/03cve4549","country_code":"CN","type":"education","lineage":["https://openalex.org/I99065089"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Mujiangshan Wang","raw_affiliation_strings":["School of Software, Tsinghua University, Beijing 100084, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Software, Tsinghua University, Beijing 100084, P. R. China","institution_ids":["https://openalex.org/I99065089"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100748284","display_name":"Dong Xiang","orcid":"https://orcid.org/0000-0003-4788-511X"},"institutions":[{"id":"https://openalex.org/I99065089","display_name":"Tsinghua University","ror":"https://ror.org/03cve4549","country_code":"CN","type":"education","lineage":["https://openalex.org/I99065089"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Dong Xiang","raw_affiliation_strings":["School of Software, Tsinghua University, Beijing 100084, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Software, Tsinghua University, Beijing 100084, P. R. China","institution_ids":["https://openalex.org/I99065089"]}]},{"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":false,"raw_author_name":"Shiying Wang","raw_affiliation_strings":["School of Mathematics and Computer Science, Shanxi Normal University, Linfen, Shanxi 041004, P. R. China"],"raw_orcid":"https://orcid.org/0000-0001-9335-3005","affiliations":[{"raw_affiliation_string":"School of Mathematics and Computer Science, Shanxi Normal University, Linfen, Shanxi 041004, P. R. China","institution_ids":["https://openalex.org/I94310126"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.17580296,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"30","issue":"03","first_page":"2040004","last_page":"2040004"},"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/T11476","display_name":"Graph theory and applications","score":0.9890999794006348,"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/T10083","display_name":"Graphene research and applications","score":0.988099992275238,"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/sort","display_name":"sort","score":0.6398105621337891},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4647117853164673},{"id":"https://openalex.org/keywords/interconnection","display_name":"Interconnection","score":0.45242512226104736},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.44011861085891724},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.42151182889938354},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4165474772453308},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.37785717844963074},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.36905255913734436},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.12884485721588135}],"concepts":[{"id":"https://openalex.org/C88548561","wikidata":"https://www.wikidata.org/wiki/Q347599","display_name":"sort","level":2,"score":0.6398105621337891},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4647117853164673},{"id":"https://openalex.org/C123745756","wikidata":"https://www.wikidata.org/wiki/Q1665949","display_name":"Interconnection","level":2,"score":0.45242512226104736},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.44011861085891724},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.42151182889938354},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4165474772453308},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.37785717844963074},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.36905255913734436},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.12884485721588135},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0129626420400046","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0129626420400046","pdf_url":null,"source":{"id":"https://openalex.org/S18360026","display_name":"Parallel Processing Letters","issn_l":"0129-6264","issn":["0129-6264","1793-642X"],"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":"Parallel Processing Letters","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G6861014690","display_name":null,"funder_award_id":"61772010","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"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":5,"referenced_works":["https://openalex.org/W1923396242","https://openalex.org/W2037529689","https://openalex.org/W2079345786","https://openalex.org/W2972872749","https://openalex.org/W4250393251"],"related_works":["https://openalex.org/W2361805396","https://openalex.org/W2972254340","https://openalex.org/W2022231341","https://openalex.org/W1805912688","https://openalex.org/W2014709025","https://openalex.org/W2155019192","https://openalex.org/W2373973507","https://openalex.org/W4249035840","https://openalex.org/W2351154965","https://openalex.org/W2357579988"],"abstract_inverted_index":{"The":[0,17],"connectivity":[1],"and":[2,8,19,75,79,91,100,115,119,128],"diagnosability":[3,106],"of":[4,37],"a":[5,31,34],"multiprocessor":[6],"system":[7,18],"an":[9,23],"interconnection":[10,38],"network":[11,21],"are":[12],"two":[13],"important":[14],"research":[15],"topics.":[16],"the":[20,40,97,105],"have":[22],"underlying":[24],"topology,":[25],"which":[26],"is":[27,63],"usually":[28],"presented":[29],"by":[30],"graph.":[32],"As":[33],"topology":[35],"structure":[36],"networks,":[39],"[Formula:":[41,46,60,65,72,76,81,88,92,107,112,116,120,125,129],"see":[42,47,61,66,73,77,82,89,93,102,108,113,117,121,126,130],"text]-dimensional":[43],"leaf-sort":[44],"graph":[45],"text]":[48,62,67,74,83,90,103,109,114,122,127],"has":[49],"many":[50],"good":[51],"properties.":[52],"In":[53],"this":[54],"paper,":[55],"we":[56],"prove":[57],"that":[58],"(a)":[59],"tightly":[64,80],"super":[68,84],"connected":[69,85],"for":[70,86,110,123],"odd":[71,111],"text],":[78,118],"even":[87,124],"text];":[94],"(b)":[95],"under":[96],"PMC":[98],"model":[99],"MM[Formula:":[101],"model,":[104],"text].":[131]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":6},{"year":2024,"cited_by_count":2}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}