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arXiv · 1110.3314

A Ramsey Theorem for Indecomposable Matchings

James Fairbanks
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Abstract

A matching is indecomposable if it does not contain a nontrivial contiguous segment of vertices whose neighbors are entirely contained in the segment. We prove a Ramsey-like result for indecomposable matchings, showing that every sufficiently long indecomposable matching contains a long indecomposable matching of one of three types: interleavings, broken nestings, and proper pin sequences.

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James Fairbanks. 2011-12-01. A Ramsey Theorem for Indecomposable Matchings. https://arxiv.org/abs/1110.3314

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