Networks

Embedding into the rectilinear grid

Journal Article

Abstract

We show that the embedding of metric spaces into the l1‐grid ℤ2 can be characterized in essentially the same fashion as in the case of the l1‐plane ℝ2. In particular, a metric space can be embedded into ℤ2 iff every subspace with at most 6 points is embeddable. Moreover, if such an embedding exists, it can be constructed in polynomial time (for finite spaces). © 1998 John Wiley & Sons, Inc. Networks 32: 127–132, 1998

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