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- W1993487317 abstract "We prove the maximum number of geometric permutations, induced by line transversals to a set of n pairwise disjoint congruent spheres in Rd with d g 3, is no more than 4 when n is sufficiently large, achieving the best known upper bound for this problem. We also prove the maximum number of geometric permutations of a set of n noncongruent spheres of bounded radius ratio in Rd, d g 3, is at most 2[√2M]+1, where M is the ratio or the largest radius and the smallest radius. Our result settles a conjecture in combinatorial geometry." @default.
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- W1993487317 date "2001-01-09" @default.
- W1993487317 modified "2023-09-24" @default.
- W1993487317 title "Geometric permutations of high dimensional spheres" @default.
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- W1993487317 doi "https://doi.org/10.5555/365411.365454" @default.
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