{"id":"https://openalex.org/W4403939243","doi":"https://doi.org/10.37236/12575","title":"On an Induced Version of Menger's Theorem","display_name":"On an Induced Version of Menger's Theorem","publication_year":2024,"publication_date":"2024-10-31","ids":{"openalex":"https://openalex.org/W4403939243","doi":"https://doi.org/10.37236/12575"},"language":"en","primary_location":{"id":"doi:10.37236/12575","is_oa":true,"landing_page_url":"https://doi.org/10.37236/12575","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v31i4p28/pdf","source":{"id":"https://openalex.org/S38448739","display_name":"The Electronic Journal of Combinatorics","issn_l":"1077-8926","issn":["1077-8926","1097-1440"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317970","host_organization_name":"Electronic Journal of Combinatorics","host_organization_lineage":["https://openalex.org/P4310317970"],"host_organization_lineage_names":["Electronic Journal of Combinatorics"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v31i4p28/pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5108674199","display_name":"Kevin Hendrey","orcid":null},"institutions":[{"id":"https://openalex.org/I2799411422","display_name":"Center for Discrete Mathematics and Theoretical Computer Science","ror":"https://ror.org/00k551w06","country_code":"US","type":"facility","lineage":["https://openalex.org/I102322142","https://openalex.org/I118347220","https://openalex.org/I1283103587","https://openalex.org/I1311060795","https://openalex.org/I20089843","https://openalex.org/I2799411422","https://openalex.org/I4210107353"]},{"id":"https://openalex.org/I4210104335","display_name":"Institute for Basic Science","ror":"https://ror.org/00y0zf565","country_code":"KR","type":"facility","lineage":["https://openalex.org/I4210104335"]}],"countries":["KR","US"],"is_corresponding":false,"raw_author_name":"Kevin Hendrey","raw_affiliation_strings":["Discrete Mathematics Group, Institute for Basic Science (IBS)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Discrete Mathematics Group, Institute for Basic Science (IBS)","institution_ids":["https://openalex.org/I2799411422","https://openalex.org/I4210104335"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5031639997","display_name":"Sergey Norin","orcid":"https://orcid.org/0000-0003-4833-7983"},"institutions":[{"id":"https://openalex.org/I5023651","display_name":"McGill University","ror":"https://ror.org/01pxwe438","country_code":"CA","type":"education","lineage":["https://openalex.org/I5023651"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Sergey Norin","raw_affiliation_strings":["Department of Mathematics and Statistics, McGill University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, McGill University","institution_ids":["https://openalex.org/I5023651"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5048260458","display_name":"Raphael Steiner","orcid":"https://orcid.org/0000-0002-4234-6136"},"institutions":[{"id":"https://openalex.org/I35440088","display_name":"ETH Zurich","ror":"https://ror.org/05a28rw58","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I35440088"]},{"id":"https://openalex.org/I4210156583","display_name":"Laboratoire d'Informatique de Paris-Nord","ror":"https://ror.org/05g1zjw44","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I4210091279","https://openalex.org/I4210156583","https://openalex.org/I4210159245"]}],"countries":["CH","FR"],"is_corresponding":false,"raw_author_name":"Raphael Steiner","raw_affiliation_strings":["Institute of Theoretical Computer Science, Department of Computer Science, ETH Z\u00fcrich"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Theoretical Computer Science, Department of Computer Science, ETH Z\u00fcrich","institution_ids":["https://openalex.org/I35440088","https://openalex.org/I4210156583"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5070239094","display_name":"J\u00e9r\u00e9mie Turcotte","orcid":"https://orcid.org/0000-0002-4555-8425"},"institutions":[{"id":"https://openalex.org/I5023651","display_name":"McGill University","ror":"https://ror.org/01pxwe438","country_code":"CA","type":"education","lineage":["https://openalex.org/I5023651"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"J\u00e9r\u00e9mie Turcotte","raw_affiliation_strings":["Department of Mathematics and Statistics, McGill University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, McGill University","institution_ids":["https://openalex.org/I5023651"]}]}],"institutions":[],"countries_distinct_count":5,"institutions_distinct_count":5,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.19495805,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"31","issue":"4","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9401000142097473,"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/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9401000142097473,"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/mathematics","display_name":"Mathematics","score":0.4248717129230499},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.3692990839481354},{"id":"https://openalex.org/keywords/medicine","display_name":"Medicine","score":0.1201041042804718}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4248717129230499},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.3692990839481354},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.1201041042804718},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.37236/12575","is_oa":true,"landing_page_url":"https://doi.org/10.37236/12575","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v31i4p28/pdf","source":{"id":"https://openalex.org/S38448739","display_name":"The Electronic Journal of Combinatorics","issn_l":"1077-8926","issn":["1077-8926","1097-1440"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317970","host_organization_name":"Electronic Journal of Combinatorics","host_organization_lineage":["https://openalex.org/P4310317970"],"host_organization_lineage_names":["Electronic Journal of Combinatorics"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.37236/12575","is_oa":true,"landing_page_url":"https://doi.org/10.37236/12575","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v31i4p28/pdf","source":{"id":"https://openalex.org/S38448739","display_name":"The Electronic Journal of Combinatorics","issn_l":"1077-8926","issn":["1077-8926","1097-1440"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317970","host_organization_name":"Electronic Journal of Combinatorics","host_organization_lineage":["https://openalex.org/P4310317970"],"host_organization_lineage_names":["Electronic Journal of Combinatorics"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"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"},{"id":"https://openalex.org/G7386190464","display_name":null,"funder_award_id":"IBS-R029-C1","funder_id":"https://openalex.org/F4320321652","funder_display_name":"Eidgen\u00f6ssische Technische Hochschule Z\u00fcrich"}],"funders":[{"id":"https://openalex.org/F4320321652","display_name":"Eidgen\u00f6ssische Technische Hochschule Z\u00fcrich","ror":"https://ror.org/05a28rw58"},{"id":"https://openalex.org/F4320326441","display_name":"Institute for Basic Science","ror":"https://ror.org/00y0zf565"},{"id":"https://openalex.org/F4320334593","display_name":"Natural Sciences and Engineering Research Council of Canada","ror":"https://ror.org/01h531d29"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4403939243.pdf","grobid_xml":"https://content.openalex.org/works/W4403939243.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596","https://openalex.org/W2072657027","https://openalex.org/W2600246793","https://openalex.org/W4238204885"],"abstract_inverted_index":{"We":[0,85],"prove":[1],"Menger-type":[2],"results":[3],"in":[4,90,95],"which":[5,80],"the":[6,32,41,46,91],"obtained":[7],"paths":[8,103],"are":[9],"pairwise":[10,69],"non-adjacent,":[11],"both":[12],"for":[13,22,52,101],"graphs":[14,23],"of":[15,34,55,57,75],"bounded":[16],"maximum":[17,42],"degree":[18,43],"and,":[19],"more":[20],"generally,":[21],"excluding":[24],"a":[25,35,73,98,105],"topological":[26,48],"minor.":[27],"More":[28],"precisely,":[29],"we":[30],"show":[31,87],"existence":[33],"constant":[36],"$C$,":[37],"depending":[38],"only":[39],"on":[40,45],"or":[44,72],"forbidden":[47],"minor,":[49],"such":[50],"that":[51],"any":[53,61],"pair":[54],"sets":[56],"vertices":[58,79],"$X,Y$":[59],"and":[60,83,94],"positive":[62],"integer":[63],"$k$,":[64],"there":[65],"exists":[66],"either":[67],"$k$":[68],"non-adjacent":[70],"$X\\text{-}Y$-paths,":[71],"set":[74],"fewer":[76],"than":[77],"$Ck$":[78],"separates":[81],"$X$":[82],"$Y$.":[84],"further":[86],"better":[88],"bounds":[89],"subcubic":[92],"case,":[93],"particular":[96],"obtain":[97],"tight":[99],"result":[100],"two":[102],"using":[104],"computer-assisted":[106],"proof.":[107]},"counts_by_year":[],"updated_date":"2026-07-22T07:51:19.307946","created_date":"2025-10-10T00:00:00"}
