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arXiv · 2305.04306

Reconsideration of Tangle and Ultrafilter using Separation and Partition

Takaaki Fujita
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Abstract

Tangle is a concept in graph theory that has a dual relationship with branch-width which is well-known graph width parameter. Ultrafilter, a fundamental notion in mathematics, is similarly known to have a dual relationship with branch-width when extended to a connectivity system (X, f). We will reconsider these concepts using separation and partition.

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Takaaki Fujita. 2026-02-28. Reconsideration of Tangle and Ultrafilter using Separation and Partition. https://doi.org/10.14445/22315373%2Fijmtt-v70i7p102

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