{"id":"https://openalex.org/W3139476213","doi":"https://doi.org/10.1137/18m1216511","title":"$K_4$-Subdivisions Have the Edge-Erd\u00f6s--P\u00f3sa Property","display_name":"$K_4$-Subdivisions Have the Edge-Erd\u00f6s--P\u00f3sa Property","publication_year":2021,"publication_date":"2021-01-01","ids":{"openalex":"https://openalex.org/W3139476213","doi":"https://doi.org/10.1137/18m1216511","mag":"3139476213"},"language":"en","primary_location":{"id":"doi:10.1137/18m1216511","is_oa":false,"landing_page_url":"https://doi.org/10.1137/18m1216511","pdf_url":null,"source":{"id":"https://openalex.org/S117679221","display_name":"SIAM Journal on Discrete Mathematics","issn_l":"0895-4801","issn":["0895-4801","1095-7146"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Discrete Mathematics","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/A5067253087","display_name":"Henning Bruhn-Fujimoto","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Henning Bruhn-Fujimoto","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5049715112","display_name":"Matthias Heinlein","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Matthias Heinlein","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5067253087"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.2737,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.73925322,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"35","issue":"1","first_page":"392","last_page":"430"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11329","display_name":"Limits and Structures in Graph Theory","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11329","display_name":"Limits and Structures in Graph Theory","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"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/T10374","display_name":"Advanced Graph Theory Research","score":0.9976000189781189,"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/T11797","display_name":"graph theory and CDMA systems","score":0.9952999949455261,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/subdivision","display_name":"Subdivision","score":0.8978962898254395},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.8161885738372803},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7308614253997803},{"id":"https://openalex.org/keywords/disjoint-sets","display_name":"Disjoint sets","score":0.6112188100814819},{"id":"https://openalex.org/keywords/enhanced-data-rates-for-gsm-evolution","display_name":"Enhanced Data Rates for GSM Evolution","score":0.5211372375488281},{"id":"https://openalex.org/keywords/property","display_name":"Property (philosophy)","score":0.5204913020133972},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.5106599926948547},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.48475000262260437},{"id":"https://openalex.org/keywords/k-edge","display_name":"K-edge","score":0.4715942144393921},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.10749581456184387},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.06820937991142273},{"id":"https://openalex.org/keywords/geography","display_name":"Geography","score":0.05792325735092163}],"concepts":[{"id":"https://openalex.org/C143392562","wikidata":"https://www.wikidata.org/wiki/Q449111","display_name":"Subdivision","level":2,"score":0.8978962898254395},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8161885738372803},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7308614253997803},{"id":"https://openalex.org/C45340560","wikidata":"https://www.wikidata.org/wiki/Q215382","display_name":"Disjoint sets","level":2,"score":0.6112188100814819},{"id":"https://openalex.org/C162307627","wikidata":"https://www.wikidata.org/wiki/Q204833","display_name":"Enhanced Data Rates for GSM Evolution","level":2,"score":0.5211372375488281},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.5204913020133972},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5106599926948547},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.48475000262260437},{"id":"https://openalex.org/C2780852000","wikidata":"https://www.wikidata.org/wiki/Q6322817","display_name":"K-edge","level":3,"score":0.4715942144393921},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.10749581456184387},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.06820937991142273},{"id":"https://openalex.org/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","level":0,"score":0.05792325735092163},{"id":"https://openalex.org/C1276947","wikidata":"https://www.wikidata.org/wiki/Q333","display_name":"Astronomy","level":1,"score":0.0},{"id":"https://openalex.org/C166957645","wikidata":"https://www.wikidata.org/wiki/Q23498","display_name":"Archaeology","level":1,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C4839761","wikidata":"https://www.wikidata.org/wiki/Q212111","display_name":"Spectral line","level":2,"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":1,"locations":[{"id":"doi:10.1137/18m1216511","is_oa":false,"landing_page_url":"https://doi.org/10.1137/18m1216511","pdf_url":null,"source":{"id":"https://openalex.org/S117679221","display_name":"SIAM Journal on Discrete Mathematics","issn_l":"0895-4801","issn":["0895-4801","1095-7146"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Discrete Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G728568432","display_name":null,"funder_award_id":"321904558","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"}],"funders":[{"id":"https://openalex.org/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W1993149037","https://openalex.org/W2013023265","https://openalex.org/W2016088388","https://openalex.org/W2054260295","https://openalex.org/W2057826895","https://openalex.org/W2075199819","https://openalex.org/W2096113666","https://openalex.org/W2104713819","https://openalex.org/W2332112754","https://openalex.org/W2344523505","https://openalex.org/W2735960434","https://openalex.org/W2766272879","https://openalex.org/W3103966427"],"related_works":["https://openalex.org/W2384806462","https://openalex.org/W4389950792","https://openalex.org/W2375549870","https://openalex.org/W4376632515","https://openalex.org/W2163269603","https://openalex.org/W4205312897","https://openalex.org/W2795347481","https://openalex.org/W2750153370","https://openalex.org/W1106115901","https://openalex.org/W2140072033"],"abstract_inverted_index":{"We":[0],"prove":[1],"that":[2,23,32],"every":[3],"graph":[4],"$G$":[5],"contains":[6],"either":[7],"$k$":[8],"edge-disjoint":[9],"$K_4$-subdivisions":[10,33],"or":[11],"a":[12],"set":[13],"$X$":[14],"of":[15],"at":[16],"most":[17],"$\\ensuremath{O}(k^8":[18],"\\log":[19],"k)$":[20],"edges":[21],"such":[22],"$G-X$":[24],"does":[25],"not":[26],"contain":[27],"any":[28],"$K_4$-subdivision.":[29],"This":[30],"shows":[31],"have":[34],"the":[35],"edge-Erd\u00f6s--P\u00f3sa":[36],"property.":[37]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2021,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}