On the gap of finite metric spaces of p-negative type
نویسندگان
چکیده
منابع مشابه
OPTIMAL LOWER BOUNDS ON THE MAXIMAL p-NEGATIVE TYPE OF FINITE METRIC SPACES
Abstract. Determining meaningful lower bounds on the supremal strict pnegative type of classes of finite metric spaces can be a difficult nonlinear problem. In this paper we use an elementary approach to obtain the following result: Given a finite metric space (X, d) there is a constant ζ > 0, dependent only on n = |X| and the scaled diameter D = (diam X)/min{d(x, y)|x 6= y} of X (which we may ...
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OPTIMAL LOWER BOUND ON THE SUPREMAL STRICT p-NEGATIVE TYPE OF A FINITE METRIC SPACE
Determining meaningful lower bounds on the supremal strict p-negative type of classes of finite metric spaces is a difficult nonlinear problem. In this paper we use an elementary approach to obtain the following result: given a finite metric space (X, d) there is a constant ζ > 0, dependent only on n = |X | and the scaled diameter D= (diam X)/min{d(x, y) | x 6= y} of X (which we may assume is >...
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ژورنال
عنوان ژورنال: Linear Algebra and its Applications
سال: 2012
ISSN: 0024-3795
DOI: 10.1016/j.laa.2011.08.031