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This article is cited in 2 scientific papers (total in 2 papers)
Current Open Problems in Discrete and Computational Geometry
H. Edelsbrunnerab, A. Ivanovcb, R. Karasevdb a Institute of Science and Technology, Klosterneuburg, Austria
b P. G. Demidov Yaroslavl State University
c M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
d Moscow Institute of Physics and Technology
Abstract:
We have selected problems that may not yet be well known, but have the potential to push the research in interesting directions. In particular, we state problems that do not require specific knowledge outside the standard circle of ideas in discrete geometry. Despite the relatively simple statements, these problems are related to current research and their solutions are likely to require new ideas and approaches. We have chosen problems from different fields to make this short paper attractive to a wide range of specialists. The article is published in the author's wording.
Keywords:
discrete and computational geometry, computational topology, open problems.
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UDC:
514.17+515.16+519.1 Received: 22.10.2012
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Citation:
H. Edelsbrunner, A. Ivanov, R. Karasev, “Current Open Problems in Discrete and Computational Geometry”, Model. Anal. Inform. Sist., 19:5 (2012), 5–17
Citation in format AMSBIB
\Bibitem{EdeIvaKar12}
\by H.~Edelsbrunner, A.~Ivanov, R.~Karasev
\paper Current Open Problems in Discrete and Computational Geometry
\jour Model. Anal. Inform. Sist.
\yr 2012
\vol 19
\issue 5
\pages 5--17
\mathnet{http://mi.mathnet.ru/mais259}
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http://mi.mathnet.ru/eng/mais259 http://mi.mathnet.ru/eng/mais/v19/i5/p5
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B. B. Bednov, P. A. Borodin, “Banach spaces that realize minimal fillings”, Sb. Math., 205:4 (2014), 459–475
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L. Sh. Burusheva, “Banach spaces with shortest network length depending only on pairwise distances between points”, Sb. Math., 210:3 (2019), 297–309
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