The classification of finite connected hypermetric spaces |
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| Authors: | Paul Terwilliger Michel Deza |
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| Institution: | (1) Department of Mathematics, University of Wisconsin, 53706 Madison, WI, USA;(2) Centre National de la Recherche Scientifique, 75007 Paris, France;(3) Department of Mathematical Engineering, University of Tokyo, 113 Tokyo, Japan |
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| Abstract: | A finite distance spaceX, d d: X
2   is hypermetric (of negative type) if  a
x
a
y
d(x, y)  0 for all integral sequences{a
x
 x  X} that sum to 1 (sum to 0).X, d is connected if the set {(x, y)d(x, y) = 1, x, y X} is the edge set for a connected graph onX, and graphical ifd is the path length distance for this graph. Then we proveThe first author was partially supported by NSF grant DMS 8600882. |
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