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Block realizations of finite metrics and the tight-span construction I: The embedding theorem SCIE SCOPUS

Title
Block realizations of finite metrics and the tight-span construction I: The embedding theorem
Authors
Dress, AWMHuber, KIKoolen, JMoulton, V
Date Issued
2008-12
Publisher
PERGAMON-ELSEVIER SCIENCE LTD
Abstract
Given a finite set X and a proper metric D : X x X --> R(>= 0) defined on X, we show that every block realization of D can be "embedded" canonically into the tight span T(D) of D and characterize the subsets of T(X) that can be obtained in that way as the "canonical image" of the vertex set of a block realization. (C) 2008 Elsevier Ltd. All rights reserved.
Keywords
Metric; Block realization; Tight span; Cut points; Cut vertices; Vicinity graph; SPACES; TREES
URI
https://oasis.postech.ac.kr/handle/2014.oak/29367
DOI
10.1016/j.aml.2008.01.004
ISSN
0893-9659
Article Type
Article
Citation
APPLIED MATHEMATICS LETTERS, vol. 21, no. 12, page. 1306 - 1309, 2008-12
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