Trees of tangles in abstract separation systems

Published 19 Sep 2019 in math.CO | (1909.09030v2)

Abstract: We prove canonical and non-canonical tree-of-tangles theorems for abstract separation systems that are merely structurally submodular. Our results imply all known tree-of-tangles theorems for graphs, matroids and abstract separation systems with submodular order functions, with greatly simplified and shortened proofs.

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