{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,8,21]],"date-time":"2026-08-21T14:39:02Z","timestamp":1787323142648,"version":"build-2736575974"},"reference-count":25,"publisher":"Society for Industrial & Applied Mathematics (SIAM)","issue":"2","funder":[{"DOI":"10.13039\/501100001659","name":"Deutsche Forschungsgemeinschaft","doi-asserted-by":"publisher","award":["321904558"],"award-info":[{"award-number":["321904558"]}],"id":[{"id":"10.13039\/501100001659","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001659","name":"Deutsche Forschungsgemeinschaft","doi-asserted-by":"publisher","award":["339933727"],"award-info":[{"award-number":["339933727"]}],"id":[{"id":"10.13039\/501100001659","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["SIAM J. Discrete Math."],"published-print":{"date-parts":[[2021,1]]},"abstract":"<jats:p>In the 1960s, Erd\u00f6s and P\u00f3sa proved that there is a packing-covering duality for cycles in graphs. As part of the graph minor project, Robertson and Seymour greatly extended this: there is such a duality for $H$-expansions in graphs if and only if $H$ is a planar graph (this includes the previous result for $H=K_3$). We consider vertex labeled graphs and minors and provide such a characterization for 2-connected labeled graphs $H$. In particular, this generalizes results of Kakimura, Kawarabayashi and Marx [ J. Combin. Theory Ser. B, 101 (2011), pp. 378--381] and Huynh, Joos, and Wollan [ Combinatorica, 39 (2019), pp. 91--133] up to weaker dependencies of the parameters.<\/jats:p>","DOI":"10.1137\/19m1289340","type":"journal-article","created":{"date-parts":[[2021,5,3]],"date-time":"2021-05-03T11:28:10Z","timestamp":1620041290000},"page":"893-914","source":"Crossref","is-referenced-by-count":1,"title":["Erd\u00f6s--P\u00f3sa Property for Labeled Minors: 2-Connected Minors"],"prefix":"10.1137","volume":"35","author":[{"given":"Henning","family":"Bruhn","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-8539-9641","authenticated-orcid":true,"given":"Felix","family":"Joos","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Oliver","family":"Schaudt","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","published-online":{"date-parts":[[2021,5,3]]},"reference":[{"key":"atypb1","doi-asserted-by":"publisher","DOI":"10.1137\/17M1148542"},{"key":"atypb2","doi-asserted-by":"publisher","DOI":"10.1002\/jgt.22156"},{"key":"atypb5","doi-asserted-by":"publisher","DOI":"10.1007\/s00493-006-0030-1"},{"key":"atypb6","first-page":"1","author":"Conlon D.","year":"2013","journal-title":"Cambridge"},{"key":"atypb7","first-page":"195","volume":"52","author":"Dejter I. 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Z.","year":"1978","journal-title":"Amsterdam"},{"key":"atypb24","doi-asserted-by":"publisher","DOI":"10.1002\/jgt.3190120111"},{"key":"atypb25","doi-asserted-by":"publisher","DOI":"10.1002\/jgt.20301"},{"key":"atypb26","doi-asserted-by":"publisher","DOI":"10.1016\/j.jctb.2009.05.003"},{"key":"atypb27","doi-asserted-by":"publisher","DOI":"10.1007\/s00493-011-2551-5"}],"container-title":["SIAM Journal on Discrete Mathematics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/epubs.siam.org\/doi\/pdf\/10.1137\/19M1289340","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,8,21]],"date-time":"2026-08-21T13:44:05Z","timestamp":1787319845000},"score":1,"resource":{"primary":{"URL":"https:\/\/epubs.siam.org\/doi\/10.1137\/19M1289340"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021,1]]},"references-count":25,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2021,1]]}},"alternative-id":["10.1137\/19M1289340"],"URL":"https:\/\/doi.org\/10.1137\/19m1289340","relation":{},"ISSN":["0895-4801","1095-7146"],"issn-type":[{"value":"0895-4801","type":"print"},{"value":"1095-7146","type":"electronic"}],"subject":[],"published":{"date-parts":[[2021,1]]}}}