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Minimum blockers for nonnested perfect matchings

de Castro, Pedro M. M.
arXiv (OAI Expanded) · Papers
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combinatoricsdiscrete-mathematics
A perfect matching in an ordered graph is nonnested if no edge lies strictly inside another. We classify the smallest edge sets meeting every nonnested perfect matching on $2k$ ordered vertices. For $k\ge2$, these blockers have $k$ edges and belong to three explicit families, with $2^k+k-2$ members
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