DMTCS Proceedings, Discrete Models: Combinatorics, Computation, and Geometry, DM-CCG 2001

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DMTCS Conference vol AA (2001), pp. 257-274

DMTCS

Discrete Models: Combinatorics, Computation, and Geometry, DM-CCG 2001

Robert Cori and Jacques Mazoyer and Michel Morvan and Rémy Mosseri (eds.)

DMTCS Conference Volume AA (2001), pp. 257-274


author: Aaron Meyerowitz
title: Tiling the Line with Triples
keywords: Tiling, one dimension, direct proof
abstract: It is known the one dimensional prototile
{0,a,a+b}
and its reflection
{0,b,a+b}
always tile some interval. The subject has not received a great deal of further attention, although many interesting questions exist. All the information about tilings can be encoded in a finite digraph
D
ab
. We present several results about cycles and other structures in this graph. A number of conjectures and open problems are given.
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reference: Aaron Meyerowitz (2001), Tiling the Line with Triples, in Discrete Models: Combinatorics, Computation, and Geometry, DM-CCG 2001, Robert Cori and Jacques Mazoyer and Michel Morvan and Rémy Mosseri (eds.), Discrete Mathematics and Theoretical Computer Science Proceedings AA, pp. 257-274
bibtex: For a corresponding BibTeX entry, please consider our BibTeX-file.
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