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- W4205527640 abstract "© 2019 Elsevier Inc. Let M be a 3-connected matroid, and let N be a 3-connected minor of M. We say that a pair {x1,x2}⊆E(M) is N-detachable if one of the matroids M/x1/x2 or Mx1x2 is both 3-connected and has an N-minor. This is the first in a series of three papers where we describe the structures that arise when M has no N-detachable pairs. In this paper, we prove that if no N-detachable pair can be found in M, then either M has a 3-separating set, which we call X, with certain strong structural properties, or M has one of three particular 3-separators that can appear in a matroid with no N-detachable pairs." @default.
- W4205527640 created "2022-01-25" @default.
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- W4205527640 date "2020-02-26" @default.
- W4205527640 modified "2023-09-26" @default.
- W4205527640 title "N-detachable pairs in 3-connected matroids I: Unveiling X" @default.
- W4205527640 doi "https://doi.org/10.26686/wgtn.11904942.v1" @default.
- W4205527640 hasPublicationYear "2020" @default.
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