{"id":"https://openalex.org/W2791429666","doi":"https://doi.org/10.1137/18m1226166","title":"Packing and Covering Induced Subdivisions","display_name":"Packing and Covering Induced Subdivisions","publication_year":2021,"publication_date":"2021-01-01","ids":{"openalex":"https://openalex.org/W2791429666","doi":"https://doi.org/10.1137/18m1226166","mag":"2791429666"},"language":"en","primary_location":{"id":"doi:10.1137/18m1226166","is_oa":false,"landing_page_url":"https://doi.org/10.1137/18m1226166","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":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1803.07581","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5041792622","display_name":"O\u2010joung Kwon","orcid":"https://orcid.org/0000-0003-1820-1962"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"O-joung Kwon","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5045592018","display_name":"Jean\u2010Florent Raymond","orcid":"https://orcid.org/0000-0003-4646-7602"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Jean-Florent Raymond","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5041792622"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.00358498,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"35","issue":"2","first_page":"597","last_page":"636"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9972000122070312,"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":0.9972000122070312,"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/T11329","display_name":"Limits and Structures in Graph Theory","score":0.9944999814033508,"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/T12541","display_name":"Graph Labeling and Dimension Problems","score":0.9782000184059143,"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/combinatorics","display_name":"Combinatorics","score":0.8597899079322815},{"id":"https://openalex.org/keywords/subdivision","display_name":"Subdivision","score":0.6763619184494019},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6242792010307312},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.5317748188972473},{"id":"https://openalex.org/keywords/bipartite-graph","display_name":"Bipartite graph","score":0.5235321521759033},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.48018112778663635},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.44738131761550903},{"id":"https://openalex.org/keywords/disjoint-sets","display_name":"Disjoint sets","score":0.4170769453048706},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.38545259833335876},{"id":"https://openalex.org/keywords/geography","display_name":"Geography","score":0.08773815631866455},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.06235203146934509}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8597899079322815},{"id":"https://openalex.org/C143392562","wikidata":"https://www.wikidata.org/wiki/Q449111","display_name":"Subdivision","level":2,"score":0.6763619184494019},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6242792010307312},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.5317748188972473},{"id":"https://openalex.org/C197657726","wikidata":"https://www.wikidata.org/wiki/Q174733","display_name":"Bipartite graph","level":3,"score":0.5235321521759033},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.48018112778663635},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.44738131761550903},{"id":"https://openalex.org/C45340560","wikidata":"https://www.wikidata.org/wiki/Q215382","display_name":"Disjoint sets","level":2,"score":0.4170769453048706},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.38545259833335876},{"id":"https://openalex.org/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","level":0,"score":0.08773815631866455},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.06235203146934509},{"id":"https://openalex.org/C166957645","wikidata":"https://www.wikidata.org/wiki/Q23498","display_name":"Archaeology","level":1,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1137/18m1226166","is_oa":false,"landing_page_url":"https://doi.org/10.1137/18m1226166","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"},{"id":"pmh:oai:arXiv.org:1803.07581","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1803.07581","pdf_url":"https://arxiv.org/pdf/1803.07581","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},{"id":"mag:2791429666","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1803.07581","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"doi:10.48550/arxiv.1803.07581","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1803.07581","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1803.07581","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1803.07581","pdf_url":"https://arxiv.org/pdf/1803.07581","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/15","display_name":"Life in Land","score":0.4099999964237213}],"awards":[{"id":"https://openalex.org/G1726600610","display_name":null,"funder_award_id":"NRF-2018R1D1A1B07050294","funder_id":"https://openalex.org/F4320322120","funder_display_name":"National Research Foundation of Korea"},{"id":"https://openalex.org/G4944054082","display_name":null,"funder_award_id":"648527","funder_id":"https://openalex.org/F4320332999","funder_display_name":"Horizon 2020 Framework Programme"},{"id":"https://openalex.org/G5758617376","display_name":null,"funder_award_id":"IBS-R029-C1","funder_id":"https://openalex.org/F4320326441","funder_display_name":"Institute for Basic Science"}],"funders":[{"id":"https://openalex.org/F4320322120","display_name":"National Research Foundation of Korea","ror":"https://ror.org/013aysd81"},{"id":"https://openalex.org/F4320326441","display_name":"Institute for Basic Science","ror":"https://ror.org/00y0zf565"},{"id":"https://openalex.org/F4320332999","display_name":"Horizon 2020 Framework Programme","ror":"https://ror.org/00k4n6c32"}],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W2791429666.pdf"},"referenced_works_count":19,"referenced_works":["https://openalex.org/W1787689584","https://openalex.org/W1969308201","https://openalex.org/W1981941088","https://openalex.org/W1998736151","https://openalex.org/W2016088388","https://openalex.org/W2020381865","https://openalex.org/W2036871172","https://openalex.org/W2057826895","https://openalex.org/W2096113666","https://openalex.org/W2162948215","https://openalex.org/W2306414598","https://openalex.org/W2591788558","https://openalex.org/W2608681412","https://openalex.org/W2735960434","https://openalex.org/W2744057026","https://openalex.org/W2962772870","https://openalex.org/W2964102969","https://openalex.org/W3028034187","https://openalex.org/W4313198092"],"related_works":["https://openalex.org/W2116038678","https://openalex.org/W2793394636","https://openalex.org/W3101167005","https://openalex.org/W1541461324","https://openalex.org/W2076192760","https://openalex.org/W3088215122","https://openalex.org/W155336174","https://openalex.org/W2294673323","https://openalex.org/W2022319070","https://openalex.org/W2972211570","https://openalex.org/W1489925592","https://openalex.org/W2765738685","https://openalex.org/W2145208749","https://openalex.org/W2963698294","https://openalex.org/W3187598484","https://openalex.org/W1595412293","https://openalex.org/W2069012352","https://openalex.org/W2952955398","https://openalex.org/W2079729497","https://openalex.org/W2963811178"],"abstract_inverted_index":{"A":[0],"class":[1,79,102,141,164,196],"$\\mathcal{F}$":[2],"of":[3,43,52,75,80,103,142,165,168,197],"graphs":[4,53,112],"has":[5,82,105,199],"the":[6,78,83,101,106,117,130,140,146,163,166,174,187,189,192,195,200],"induced":[7,33,50,84,107,147,175,201],"Erd\u00f6s--P\u00f3sa":[8,85,108,148,176,202],"property":[9,86,109],"if":[10,87,90,184],"there":[11],"exists":[12],"a":[13,40,72,122,125,169],"function":[14],"$f$":[15],"such":[16],"that":[17,35,70,157,162,183],"for":[18,71,110,139,160],"every":[19,23],"graph":[20,170],"$G$":[21,27],"and":[22,57,88],"positive":[24],"integer":[25],"$k$,":[26],"contains":[28],"either":[29],"$k$":[30],"pairwise":[31],"vertex-disjoint":[32],"subgraphs":[34],"belong":[36],"to":[37,144],"$\\mathcal{F}$,":[38],"or":[39,99,124,191],"vertex":[41],"set":[42],"size":[44],"at":[45],"most":[46],"$f(k)$":[47],"hitting":[48],"all":[49],"copies":[51],"in":[54,59],"$\\mathcal{F}$.":[55],"Kim":[56],"Kwon":[58],"[J.":[60],"Combin.":[61],"Theory":[62],"Ser.":[63],"B,":[64],"145":[65],"(2020),":[66],"pp.":[67],"65--112]":[68],"showed":[69],"cycle":[73],"$C_{\\ell}$":[74],"length":[76],"$\\ell$,":[77],"$C_{\\ell}$-subdivisions":[81],"only":[89],"$\\ell\\le":[91],"4$.":[92],"In":[93],"this":[94],"paper,":[95],"we":[96,133,152,181],"investigate":[97],"whether":[98],"not":[100,172],"$H$-subdivisions":[104,143,198],"other":[111],"$H$.":[113],"We":[114],"completely":[115],"settle":[116],"case":[118],"when":[119],"$H$":[120,138,185],"is":[121,186],"forest":[123],"complete":[126],"bipartite":[127],"graph.":[128],"Regarding":[129],"general":[131],"case,":[132],"identify":[134],"necessary":[135],"conditions":[136],"on":[137],"have":[145,173],"property.":[149,177,203],"For":[150],"this,":[151],"provide":[153],"three":[154],"basic":[155],"constructions":[156],"are":[158],"useful":[159],"proving":[161],"subdivisions":[167],"does":[171],"Among":[178],"remaining":[179],"graphs,":[180],"prove":[182],"diamond,":[188],"1-pan,":[190],"2-pan,":[193],"then":[194]},"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2017,"cited_by_count":1}],"updated_date":"2026-04-09T08:11:56.329763","created_date":"2025-10-10T00:00:00"}