English

Displaying tangles and non-sequential separations

Combinatorics 2016-05-23 v1

Abstract

We show that, for any graph or matroid, there is a tree that simultaneously distinguishes its maximal tangles, and, for each maximal tangle T\mathcal{T} that satisfies an additional robustness condition, displays all of the non-trivial separations relative to T\mathcal{T}, up to a natural equivalence.

Keywords

Cite

@article{arxiv.1605.06139,
  title  = {Displaying tangles and non-sequential separations},
  author = {Ben Clark},
  journal= {arXiv preprint arXiv:1605.06139},
  year   = {2016}
}

Comments

9 pages. arXiv admin note: text overlap with arXiv:1109.1048

R2 v1 2026-06-22T14:05:07.670Z