Mathematics – Combinatorics
Scientific paper
2011-09-06
Mathematics
Combinatorics
31 pages, 1 figure
Scientific paper
A tangle of order $k$ in a matroid or graph may be thought of as a "$k$-connected component". For a tangle of order $k$ in a matroid or graph that satisfies a certain robustness condition, we describe a tree decomposition of the matroid or graph that displays, up to a certain natural equivalence, all of the $k$-separations of the matroid or graph that are non-trivial with respect to the tangle.
Clark Ben
Whittle Geoff
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