If EE is a set of matroids, then ex(EE) denotes the set of matroids that have no minor isomorphic to a member of EE. If EE' is a subset of EE, we say that EE' is /superfluous/ if ex(EE - EE') - ex(EE) contains only finitely many 3-connected matroids. We characterize the superfluous subsets of six well-known collections of excluded minors.
Additional Metadata
Keywords Matroids, excluded minors
THEME Logistics (theme 3)
Publisher Cornell University Library
Series arXiv.org e-Print archive
Citation
Hall, R, Mayhew, D, & van Zwam, S.H.M. (2011). On the relative importance of excluded minors. arXiv.org e-Print archive. Cornell University Library .