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Sibirskii Matematicheskii Zhurnal, 2011, Volume 52, Number 2, Pages 283–291 (Mi smj2195)  
This article is cited in 7 scientific papers (total in 7 papers)

Ptolemaic spaces

A. A. Dovgosheĭ, E. A. Petrov

Institute of Applied Mathematics and Mechanics, Ukraine National Academy of Sciences, Donetsk, Ukraine
Full-text PDF (303 kB) Citations (7)
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Abstract: We show that equilateral pseudolinear quadruples are in a certain sense extremally non-Ptolemaic metric spaces. We find four-point pseudometric spaces that are maximally Ptolemaic.
Keywords: Ptolemaic space, extremal problem on a finite metric space, pseudometric space, pseudolinear quadruple, isoperimetric inequality.
Received: 30.08.2010
English version:
Siberian Mathematical Journal, 2011, Volume 52, Issue 2, Pages 222–229
DOI: https://doi.org/10.1134/S0037446611020042
Bibliographic databases:
Document Type: Article
UDC: 514.177+515.124.4
Language: Russian
Citation: A. A. Dovgosheǐ, E. A. Petrov, “Ptolemaic spaces”, Sibirsk. Mat. Zh., 52:2 (2011), 283–291; Siberian Math. J., 52:2 (2011), 222–229
Citation in format AMSBIB
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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