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Embedding into Rectilinear Spaces

✍ Scribed by H. -J. Bandelt; V. Chepoi; M. Laurent


Publisher
Springer
Year
1998
Tongue
English
Weight
157 KB
Volume
19
Category
Article
ISSN
0179-5376

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Embedding into the rectilinear grid
✍ Bandelt, Hans-JοΏ½rgen; Chepoi, Victor πŸ“‚ Article πŸ“… 1998 πŸ› John Wiley and Sons 🌐 English βš– 108 KB

We show that the embedding of metric spaces into the l 1 -grid β€«ήšβ€¬ 2 can be characterized in essentially the same fashion as in the case of the l 1 -plane ‫ޒ‬ 2 . In particular, a metric space can be embedded into β€«ήšβ€¬ 2 iff every subspace with at most 6 points is embeddable. Moreover, if such an emb