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- W3041003668 abstract "Contrary to the expectation arising from the tanglegram Kuratowski theorem of E. Czabarka, L.A. Szekely and S. Wagner [SIAM J. Discrete Math. 31(3): 1732--1750, (2017)], we construct an infinite antichain of planar tanglegrams with respect to the induced subtanglegram partial order. R.E. Tarjan, R. Laver, D.A. Spielman and M. Bona, and possibly others, showed that the partially ordered set of finite permutations ordered by deletion of entries contains an infinite antichain, i.e. there exists an infinite collection of permutations, such that none of them contains another as a pattern. Our construction adds a twist to the construction of Spielman and Bona [Electr. J. Comb, Vol. 7. N2.]" @default.
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- W3041003668 date "2020-07-12" @default.
- W3041003668 modified "2023-10-18" @default.
- W3041003668 title "An infinite antichain of planar tanglegrams" @default.
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