A classification of some unit Lorentz balls as non-intersection bodies
نویسندگان
چکیده
منابع مشابه
Non-intersection Bodies All of Whose Central Sections Are Intersection Bodies
We construct symmetric convex bodies that are not intersection bodies, but all of their central hyperplane sections are intersection bodies. This result extends the studies by Weil in the case of zonoids and by Neyman in the case of subspaces of Lp.
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We describe an algorithm for computing the intersection of n balls of equal radius in IR 3 which runs in time O(n lg 2 n). The algorithm can be parallelized so that the comparisons that involve the radius of the balls are performed in O(lg 3 n) batches. Using parametric search, these algorithms are used to obtain an algorithm for computing the diameter of a set of n points in IR 3 (the maximum ...
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The touching graph of balls is a graph that admits a representation by non-intersecting balls in the space (of prescribed dimension), so that its edges correspond to touching pairs of balls. By a classical result of Koebe [?], the disc touching graphs are exactly the planar graphs. This paper deals with a recognition of unit-ball touching graphs. The 2– dimensional case was proved to be NP-hard...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 2014
ISSN: 0002-9939,1088-6826
DOI: 10.1090/s0002-9939-2014-11821-1