DC Field | Value | Language |
---|---|---|
dc.contributor.author | Gollin, Jochen Pascal | ko |
dc.contributor.author | Hendrey, Kevin | ko |
dc.contributor.author | Mayhew, Dillon | ko |
dc.contributor.author | Oum, Sang-il | ko |
dc.date.accessioned | 2021-08-18T08:50:26Z | - |
dc.date.available | 2021-08-18T08:50:26Z | - |
dc.date.created | 2021-06-09 | - |
dc.date.created | 2021-06-09 | - |
dc.date.created | 2021-06-09 | - |
dc.date.issued | 2021-05 | - |
dc.identifier.citation | Advances in Combinatorics, v.2021, no.1, pp.1 - 25 | - |
dc.identifier.issn | 2517-5599 | - |
dc.identifier.uri | http://hdl.handle.net/10203/287238 | - |
dc.description.abstract | DeVos, Kwon, and Oum introduced the concept of branch-depth of matroids as a natural analogue of tree-depth of graphs. They conjectured that a matroid of sufficiently large branch-depth contains the uniform matroid Un,2n or the cycle matroid of a large fan graph as a minor. We prove that matroids with sufficiently large branch-depth either contain the cycle matroid of a large fan graph as a minor or have large branch-width. As a corollary, we prove their conjecture for matroids representable over a fixed finite field and quasi-graphic matroids, where the uniform matroid is not an option. © 2021 J. Pascal Gollin, Kevin Hendrey, Dillon Mayhew, and Sang-il Oum cb Licensed under a Creative Commons Attribution License (CC-BY). | - |
dc.language | English | - |
dc.publisher | Alliance of Diamond Open Access Journals | - |
dc.title | Obstructions for Bounded Branch-depth in Matroids | - |
dc.type | Article | - |
dc.identifier.scopusid | 2-s2.0-85111462415 | - |
dc.type.rims | ART | - |
dc.citation.volume | 2021 | - |
dc.citation.issue | 1 | - |
dc.citation.beginningpage | 1 | - |
dc.citation.endingpage | 25 | - |
dc.citation.publicationname | Advances in Combinatorics | - |
dc.identifier.doi | 10.19086/aic.24227 | - |
dc.contributor.localauthor | Oum, Sang-il | - |
dc.contributor.nonIdAuthor | Gollin, Jochen Pascal | - |
dc.contributor.nonIdAuthor | Hendrey, Kevin | - |
dc.contributor.nonIdAuthor | Mayhew, Dillon | - |
dc.description.isOpenAccess | Y | - |
dc.type.journalArticle | Article | - |
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