{"id":"https://openalex.org/W2972872749","doi":"https://doi.org/10.1142/s0219265919400073","title":"Connectivity and Matching Preclusion for Leaf-Sort Graphs","display_name":"Connectivity and Matching Preclusion for Leaf-Sort Graphs","publication_year":2019,"publication_date":"2019-09-01","ids":{"openalex":"https://openalex.org/W2972872749","doi":"https://doi.org/10.1142/s0219265919400073","mag":"2972872749"},"language":"en","primary_location":{"id":"doi:10.1142/s0219265919400073","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0219265919400073","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/A5100752098","display_name":"Shiying Wang","orcid":"https://orcid.org/0000-0001-9335-3005"},"institutions":[{"id":"https://openalex.org/I75955062","display_name":"Henan Normal University","ror":"https://ror.org/00s13br28","country_code":"CN","type":"education","lineage":["https://openalex.org/I75955062"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"SHIYING WANG","raw_affiliation_strings":["School of Mathematics and Information Science, Henan Normal University, Xinxiang, Henan 453007, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Information Science, Henan Normal University, Xinxiang, Henan 453007, P. R. China","institution_ids":["https://openalex.org/I75955062"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100393668","display_name":"Yanling Wang","orcid":"https://orcid.org/0000-0003-4029-8457"},"institutions":[{"id":"https://openalex.org/I75955062","display_name":"Henan Normal University","ror":"https://ror.org/00s13br28","country_code":"CN","type":"education","lineage":["https://openalex.org/I75955062"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"YANLING WANG","raw_affiliation_strings":["School of Mathematics and Information Science, Henan Normal University, Xinxiang, Henan 453007, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Information Science, Henan Normal University, Xinxiang, Henan 453007, P. R. China","institution_ids":["https://openalex.org/I75955062"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5010647258","display_name":"Mujiangshan Wang","orcid":"https://orcid.org/0000-0003-0950-4558"},"institutions":[{"id":"https://openalex.org/I78757542","display_name":"University of Newcastle Australia","ror":"https://ror.org/00eae9z71","country_code":"AU","type":"education","lineage":["https://openalex.org/I78757542"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"MUJIANGSHAN WANG","raw_affiliation_strings":["School of Electrical Engineering and Computer Science, The University of Newcastle, NSW 2308, Australia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electrical Engineering and Computer Science, The University of Newcastle, NSW 2308, Australia","institution_ids":["https://openalex.org/I78757542"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5100752098"],"corresponding_institution_ids":["https://openalex.org/I75955062"],"apc_list":null,"apc_paid":null,"fwci":0.1858,"has_fulltext":false,"cited_by_count":21,"citation_normalized_percentile":{"value":0.56116825,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"19","issue":"03","first_page":"1940007","last_page":"1940007"},"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":0.9934999942779541,"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/T10772","display_name":"Distributed systems and fault tolerance","score":0.987500011920929,"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":0.8323491811752319},{"id":"https://openalex.org/keywords/matching","display_name":"Matching (statistics)","score":0.6118006110191345},{"id":"https://openalex.org/keywords/sort","display_name":"sort","score":0.5405150651931763},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5389066934585571},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.5079255700111389},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4537707269191742},{"id":"https://openalex.org/keywords/enhanced-data-rates-for-gsm-evolution","display_name":"Enhanced Data Rates for GSM Evolution","score":0.42180463671684265},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.40157026052474976},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.0858740508556366}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8323491811752319},{"id":"https://openalex.org/C165064840","wikidata":"https://www.wikidata.org/wiki/Q1321061","display_name":"Matching (statistics)","level":2,"score":0.6118006110191345},{"id":"https://openalex.org/C88548561","wikidata":"https://www.wikidata.org/wiki/Q347599","display_name":"sort","level":2,"score":0.5405150651931763},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5389066934585571},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5079255700111389},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4537707269191742},{"id":"https://openalex.org/C162307627","wikidata":"https://www.wikidata.org/wiki/Q204833","display_name":"Enhanced Data Rates for GSM Evolution","level":2,"score":0.42180463671684265},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.40157026052474976},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.0858740508556366},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1142/s0219265919400073","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0219265919400073","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"},{"id":"pmh:uon:43361","is_oa":false,"landing_page_url":"http://hdl.handle.net/1959.13/1448289","pdf_url":null,"source":{"id":"https://openalex.org/S4377196471","display_name":"NOVA (University of Newcastle Australia)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I78757542","host_organization_name":"University of Newcastle Australia","host_organization_lineage":["https://openalex.org/I78757542"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","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":10,"referenced_works":["https://openalex.org/W1185566510","https://openalex.org/W1626629448","https://openalex.org/W1965356236","https://openalex.org/W1973902190","https://openalex.org/W2000735580","https://openalex.org/W2124839136","https://openalex.org/W2151347250","https://openalex.org/W2625692087","https://openalex.org/W2781705660","https://openalex.org/W4245743540"],"related_works":["https://openalex.org/W23868181","https://openalex.org/W2579720493","https://openalex.org/W4379471579","https://openalex.org/W2000144448","https://openalex.org/W2024593554","https://openalex.org/W3003396734","https://openalex.org/W2071261821","https://openalex.org/W1978699240","https://openalex.org/W2287003313","https://openalex.org/W1975886103"],"abstract_inverted_index":{"A":[0],"multiprocessor":[1],"system":[2],"and":[3,21,85,113,136,140,147],"interconnection":[4],"network":[5],"have":[6],"a":[7,15,34],"underlying":[8],"topology,":[9],"which":[10],"is":[11,36,78,95,106,129],"usually":[12],"presented":[13],"by":[14],"graph,":[16],"where":[17],"nodes":[18],"represent":[19,23],"processors":[20],"links":[22,25],"communication":[24],"between":[26],"processors.":[27],"The":[28],"(conditional)":[29],"matching":[30,100,123],"preclusion":[31,101,124],"number":[32,39,102,125],"of":[33,40,72,103,126],"graph":[35,47,75],"the":[37,45,68,73,99,121],"minimum":[38],"edges":[41],"whose":[42],"deletion":[43],"leaves":[44],"resulting":[46],"(with":[48],"no":[49],"isolated":[50],"vertices)":[51],"that":[52,66],"has":[53],"neither":[54],"perfect":[55,59],"matchings":[56],"nor":[57],"almost":[58],"matchings.":[60],"In":[61],"this":[62],"paper,":[63],"we":[64],"prove":[65],"(1)":[67],"connectivity":[69],"(edge":[70],"connectivity)":[71],"leaf-sort":[74],"CF":[76,93,104,127],"n":[77,84,94,105,112,128,135,137,146,148],"[Formula:":[79,86,107,114],"see":[80,87,108,115],"text]":[81,88,109,116],"for":[82,89,110,117,133,144],"odd":[83,111,134],"even":[90,118,145],"n;":[91,119],"(2)":[92],"super":[96],"edge-connected;":[97],"(3)":[98],"(4)":[120],"conditional":[122],"3n":[130,141],"\u2013":[131,142],"5":[132],"\u2265":[138,149],"3,":[139],"6":[143],"4.":[150]},"counts_by_year":[{"year":2026,"cited_by_count":4},{"year":2025,"cited_by_count":10},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":2},{"year":2020,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
