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arXiv · 1101.0964

Bandwidth and pathwidth of three-dimensional grids

Yota Otachi·Ryohei Suda
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Abstract

We study the bandwidth and the pathwidth of multi-dimensional grids. It can be shown for grids, that these two parameters are equal to a more basic graph parameter, the vertex boundary width. Using this fact, we determine the bandwidth and the pathwidth of three-dimensional grids, which were known only for the cubic case. As a by-product, we also determine the two parameters of multi-dimensional grids with relatively large maximum factors.

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Yota Otachi, Ryohei Suda. 2011-01-05. Bandwidth and pathwidth of three-dimensional grids. https://arxiv.org/abs/1101.0964

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