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Bounded distance preserving surjections in the geometry of matrices

โœ Scribed by Wen-ling Huang

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
262 KB
Volume
433
Category
Article
ISSN
0024-3795

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๐Ÿ“œ SIMILAR VOLUMES

Good distance graphs and the geometry of
Good distance graphs and the geometry of matrices
โœ Li-Ping Huang ๐Ÿ“‚ Article ๐Ÿ“… 2010 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 234 KB

Denote by G = (V, โˆผ) a graph which V is the vertex set and โˆผ is an adjacency relation on a subset of V ร— V . In this paper, the good distance graph is defined. Let (V, โˆผ) and (V , โˆผ ) be two good distance graphs, and ฯ• : V โ†’ V be a map. The following theorem is proved: ฯ• is a graph isomorphism โ‡” ฯ• i

Faces of the cone of Euclidean distance
Faces of the cone of Euclidean distance matrices: Characterizations, structure and induced geometry
โœ Pablo Tarazaga ๐Ÿ“‚ Article ๐Ÿ“… 2005 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 216 KB

In this paper we obtain new characterizations of the faces of the cone of Euclidean distance matrices. In one case the characterization is based on a special subspace associated with each distance matrix, in other case on linear restrictions of coordinate matrices. We also relate the faces to the su