Erratum to Free Arrangement and Rhombic Tilings (Discrete & Computational Geometry, (1996), 15, 3, (307-340), 10.1007/BF02711498)

P. H. Edelman; V. Reiner

doi:10.1007/BF03035607

Erratum to Free Arrangement and Rhombic Tilings (Discrete & Computational Geometry, (1996), 15, 3, (307-340), 10.1007/BF02711498)

P. H. Edelman, V. Reiner

School of Mathematics

Research output: Contribution to journal › Comment/debate › peer-review

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Abstract

The authors are indebted to Stefan Felsner for pointing out an error in the proof o fLemma 5.2 [ER], which invalidates both the lemma and the proof of Theorem 5.1. Specifically, it is asserted in the proof of Lemma 5.2 that the binary relation > has no directed cycles, but in fact, for n = 6 and T the tiling having noninversions { 123,456}, it can be checked that this relation has the following directed cycle:

Original language	English (US)
Pages (from-to)	359
Number of pages	1
Journal	Discrete and Computational Geometry
Volume	17
Issue number	3
DOIs	https://doi.org/10.1007/BF03035607
State	Published - Apr 1997

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PY - 1997/4

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N2 - The authors are indebted to Stefan Felsner for pointing out an error in the proof o fLemma 5.2 [ER], which invalidates both the lemma and the proof of Theorem 5.1. Specifically, it is asserted in the proof of Lemma 5.2 that the binary relation > has no directed cycles, but in fact, for n = 6 and T the tiling having noninversions { 123,456}, it can be checked that this relation has the following directed cycle:

AB - The authors are indebted to Stefan Felsner for pointing out an error in the proof o fLemma 5.2 [ER], which invalidates both the lemma and the proof of Theorem 5.1. Specifically, it is asserted in the proof of Lemma 5.2 that the binary relation > has no directed cycles, but in fact, for n = 6 and T the tiling having noninversions { 123,456}, it can be checked that this relation has the following directed cycle:

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Erratum to Free Arrangement and Rhombic Tilings (Discrete & Computational Geometry, (1996), 15, 3, (307-340), 10.1007/BF02711498)

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