{"id":"https://openalex.org/W3097415917","doi":"https://doi.org/10.1142/s0129626420400083","title":"5-Shredders of Contraction-Critical 5-Connected Graphs","display_name":"5-Shredders of Contraction-Critical 5-Connected Graphs","publication_year":2020,"publication_date":"2020-09-01","ids":{"openalex":"https://openalex.org/W3097415917","doi":"https://doi.org/10.1142/s0129626420400083","mag":"3097415917"},"language":"en","primary_location":{"id":"doi:10.1142/s0129626420400083","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0129626420400083","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/A5029152274","display_name":"Chengfu Qin","orcid":"https://orcid.org/0000-0003-0512-0397"},"institutions":[{"id":"https://openalex.org/I4210151929","display_name":"Nanning Normal University","ror":"https://ror.org/04dx82x73","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210151929"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Chengfu Qin","raw_affiliation_strings":["School of Mathematics and statistics, Nanning Normal University, 530001, Nanning, Guangxi, P. R. China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and statistics, Nanning Normal University, 530001, Nanning, Guangxi, P. R. China","institution_ids":["https://openalex.org/I4210151929"]}]},{"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, 030024, Taiyuan, Shanxi, P. R. China"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Taiyuan University of Technology, 030024, Taiyuan, Shanxi, P. R. China","institution_ids":["https://openalex.org/I9086337"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5029152274"],"corresponding_institution_ids":["https://openalex.org/I4210151929"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.17572632,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"30","issue":"03","first_page":"2040008","last_page":"2040008"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9998999834060669,"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"}},{"id":"https://openalex.org/T10829","display_name":"Interconnection Networks and Systems","score":0.9990000128746033,"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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9926000237464905,"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/contraction","display_name":"Contraction (grammar)","score":0.6133150458335876},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6132516860961914},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.5419341921806335},{"id":"https://openalex.org/keywords/connected-component","display_name":"Connected component","score":0.5353724360466003},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4897639751434326},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4381265640258789},{"id":"https://openalex.org/keywords/distance-hereditary-graph","display_name":"Distance-hereditary graph","score":0.4250409007072449},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.33460497856140137},{"id":"https://openalex.org/keywords/voltage-graph","display_name":"Voltage graph","score":0.24095508456230164},{"id":"https://openalex.org/keywords/biology","display_name":"Biology","score":0.08273488283157349}],"concepts":[{"id":"https://openalex.org/C163415756","wikidata":"https://www.wikidata.org/wiki/Q126473","display_name":"Contraction (grammar)","level":2,"score":0.6133150458335876},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6132516860961914},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5419341921806335},{"id":"https://openalex.org/C193435613","wikidata":"https://www.wikidata.org/wiki/Q2997928","display_name":"Connected component","level":2,"score":0.5353724360466003},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4897639751434326},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4381265640258789},{"id":"https://openalex.org/C147792647","wikidata":"https://www.wikidata.org/wiki/Q5282847","display_name":"Distance-hereditary graph","level":5,"score":0.4250409007072449},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.33460497856140137},{"id":"https://openalex.org/C22149727","wikidata":"https://www.wikidata.org/wiki/Q7940747","display_name":"Voltage graph","level":4,"score":0.24095508456230164},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.08273488283157349},{"id":"https://openalex.org/C134018914","wikidata":"https://www.wikidata.org/wiki/Q162606","display_name":"Endocrinology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0129626420400083","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0129626420400083","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/G827107400","display_name":null,"funder_award_id":"11961051","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":17,"referenced_works":["https://openalex.org/W1484040084","https://openalex.org/W1965493781","https://openalex.org/W1972726468","https://openalex.org/W1981345652","https://openalex.org/W1986585741","https://openalex.org/W1990008711","https://openalex.org/W1997938644","https://openalex.org/W2015645763","https://openalex.org/W2029687674","https://openalex.org/W2034645676","https://openalex.org/W2053580831","https://openalex.org/W2065330288","https://openalex.org/W2092291481","https://openalex.org/W2322731563","https://openalex.org/W2738209622","https://openalex.org/W4245013009","https://openalex.org/W4249772428"],"related_works":["https://openalex.org/W1579969832","https://openalex.org/W3213475073","https://openalex.org/W2029046796","https://openalex.org/W1624237288","https://openalex.org/W2951347506","https://openalex.org/W2014594560","https://openalex.org/W2804933047","https://openalex.org/W4302314342","https://openalex.org/W167435155","https://openalex.org/W1967687235"],"abstract_inverted_index":{"Yoshimi":[0],"Egawa":[1],"[8]":[2],"showed":[3],"that":[4,21,55],"a":[5,22,46,58],"5-connected":[6,24,41,49],"graph":[7,25,42,50],"G":[8,26,56],"admits":[9,27,69],"at":[10,28,70],"most":[11,29,71],"[Formula:":[12,30,51,62,66,72],"see":[13,31,52,63,67,73],"text]":[14,32,53,64,68,74],"5-shredders.":[15,33,75],"In":[16],"this":[17],"paper":[18],"we":[19,35],"shown":[20],"contraction-critical":[23,40],"Further":[34],"show":[36],"that,":[37],"for":[38],"every":[39],"G,":[43],"there":[44],"is":[45,57],"contraction":[47],"critical":[48],"such":[54],"spanning":[59],"subgraph":[60],"of":[61],"and":[65]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}