{"id":"https://openalex.org/W2209394018","doi":"https://doi.org/10.1137/140981939","title":"Isolating Highly Connected Induced Subgraphs","display_name":"Isolating Highly Connected Induced Subgraphs","publication_year":2016,"publication_date":"2016-01-01","ids":{"openalex":"https://openalex.org/W2209394018","doi":"https://doi.org/10.1137/140981939","mag":"2209394018"},"language":"en","primary_location":{"id":"doi:10.1137/140981939","is_oa":false,"landing_page_url":"https://doi.org/10.1137/140981939","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":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1406.1671","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Irena Penev","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Irena Penev","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":null,"display_name":"St\u00e9phan Thomass\u00e9","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"St\u00e9phan Thomass\u00e9","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":null,"display_name":"Nicolas Trotignon","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Nicolas Trotignon","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.3262,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.63713299,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"30","issue":"1","first_page":"592","last_page":"619"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.6033999919891357,"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":0.6033999919891357,"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":0.24560000002384186,"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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.06700000166893005,"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/chromatic-scale","display_name":"Chromatic scale","score":0.6453999876976013},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.5910999774932861},{"id":"https://openalex.org/keywords/degree","display_name":"Degree (music)","score":0.52920001745224},{"id":"https://openalex.org/keywords/connectivity","display_name":"Connectivity","score":0.42239999771118164},{"id":"https://openalex.org/keywords/vertex-connectivity","display_name":"Vertex connectivity","score":0.3961000144481659},{"id":"https://openalex.org/keywords/existential-quantification","display_name":"Existential quantification","score":0.3693999946117401},{"id":"https://openalex.org/keywords/induced-subgraph","display_name":"Induced subgraph","score":0.36480000615119934}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8938999772071838},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7627999782562256},{"id":"https://openalex.org/C196956537","wikidata":"https://www.wikidata.org/wiki/Q202021","display_name":"Chromatic scale","level":2,"score":0.6453999876976013},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5910999774932861},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.52920001745224},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.48570001125335693},{"id":"https://openalex.org/C76444178","wikidata":"https://www.wikidata.org/wiki/Q72897900","display_name":"Connectivity","level":3,"score":0.42239999771118164},{"id":"https://openalex.org/C2983226441","wikidata":"https://www.wikidata.org/wiki/Q3115621","display_name":"Vertex connectivity","level":4,"score":0.3961000144481659},{"id":"https://openalex.org/C136979486","wikidata":"https://www.wikidata.org/wiki/Q773483","display_name":"Existential quantification","level":2,"score":0.3693999946117401},{"id":"https://openalex.org/C2778012994","wikidata":"https://www.wikidata.org/wiki/Q24743362","display_name":"Induced subgraph","level":4,"score":0.36480000615119934},{"id":"https://openalex.org/C167750561","wikidata":"https://www.wikidata.org/wiki/Q1789512","display_name":"Critical graph","level":5,"score":0.31299999356269836},{"id":"https://openalex.org/C128115575","wikidata":"https://www.wikidata.org/wiki/Q5597083","display_name":"Graph factorization","level":5,"score":0.295199990272522},{"id":"https://openalex.org/C88230418","wikidata":"https://www.wikidata.org/wiki/Q131476","display_name":"Graph theory","level":2,"score":0.2842000126838684},{"id":"https://openalex.org/C36038622","wikidata":"https://www.wikidata.org/wiki/Q5428703","display_name":"Factor-critical graph","level":5,"score":0.26809999346733093},{"id":"https://openalex.org/C193435613","wikidata":"https://www.wikidata.org/wiki/Q2997928","display_name":"Connected component","level":2,"score":0.26350000500679016},{"id":"https://openalex.org/C32972407","wikidata":"https://www.wikidata.org/wiki/Q1187620","display_name":"Perfect graph","level":5,"score":0.25619998574256897}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1137/140981939","is_oa":false,"landing_page_url":"https://doi.org/10.1137/140981939","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:1406.1671","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1406.1671","pdf_url":"https://arxiv.org/pdf/1406.1671","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"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":null,"raw_type":"text"},{"id":"pmh:oai:HAL:hal-01324067v1","is_oa":false,"landing_page_url":"https://hal.science/hal-01324067","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"SIAM Journal on Discrete Mathematics, 2016, 30, pp.592-619. ⟨10.1137/140981939⟩","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1406.1671","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1406.1671","pdf_url":"https://arxiv.org/pdf/1406.1671","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"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":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2726473892","display_name":"PROJET AVENIR LYON SAINT-ETIENNE","funder_award_id":"ANR-11-IDEX-0007","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G3584739849","display_name":"Community of mathematics and fundamental computer science in Lyon","funder_award_id":"ANR-10-LABX-0070","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G3717274260","display_name":"Forbidden Structures","funder_award_id":"ANR-13-BS02-0007","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G7745595251","display_name":"Hereditary classes of graphs","funder_award_id":"ANR-10-JCJC-0204","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"}],"funders":[{"id":"https://openalex.org/F4320320883","display_name":"Agence Nationale de la Recherche","ror":"https://ror.org/00rbzpz17"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":3,"referenced_works":["https://openalex.org/W2072408231","https://openalex.org/W2091747323","https://openalex.org/W2313828007"],"related_works":[],"abstract_inverted_index":{"We":[0,58,77,114],"prove":[1],"that":[2,19,26,45,94],"any":[3],"graph":[4,97],"$G$":[5],"of":[6,22,24,30,41,53,62,68,98,107,119],"minimum":[7,48],"degree":[8,49],"greater":[9],"than":[10],"$2k^2-1$":[11],"has":[12],"a":[13,38,46,54,96,116,123],"$(k+1)$-connected":[14],"induced":[15,105],"subgraph":[16,106],"$H$":[17,25,31],"such":[18],"the":[20,51,75,83],"number":[21],"vertices":[23],"have":[27],"neighbors":[28],"outside":[29],"is":[32],"at":[33],"most":[34],"$2k^2-1$.":[35],"This":[36],"generalizes":[37],"classical":[39],"result":[40],"Mader,":[42],"which":[43],"states":[44],"high":[47,99,108,111],"implies":[50],"existence":[52],"highly":[55],"connected":[56],"subgraph.":[57],"give":[59,72,115],"several":[60],"variants":[61],"our":[63],"result,":[64],"and":[65,91,110],"for":[66,74,82],"each":[67],"these":[69],"variants,":[70],"we":[71],"asymptotics":[73],"bounds.":[76],"also":[78],"compute":[79],"optimal":[80],"values":[81],"case":[84],"when":[85],"$k=2$.":[86],"Alon,":[87],"Kleitman,":[88],"Saks,":[89],"Seymour,":[90],"Thomassen":[92],"proved":[93],"in":[95],"chromatic":[100,112],"number,":[101],"there":[102],"exists":[103],"an":[104],"connectivity":[109],"number.":[113],"new":[117],"proof":[118],"this":[120],"theorem":[121],"with":[122],"better":[124],"bound.":[125]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2017,"cited_by_count":1}],"updated_date":"2026-07-28T07:46:37.118299","created_date":"2016-06-24T00:00:00"}