Rhiannon Hall, Dillon Mayhew, Stefan H. M. van Zwam
Published 2011-10-31Version 1
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.
The excluded minors for the intersection of bicircular and lattice path matroids
The excluded minors for near-regular matroids
Fan-extensions in fragile matroids
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