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- W2117377355 abstract "We prove that the set of directions of lines intersecting three disjoint balls in R3 in a given order is a strictly convex subset of S2. We then generalize this result to n disjoint balls in Rd. As a consequence, we can improve upon several old and new results on line transversals to disjoint balls in arbitrary dimension, such as bounds on the number of connected components and Helly-type theorems." @default.
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- W2117377355 date "2007-01-01" @default.
- W2117377355 modified "2023-09-23" @default.
- W2117377355 title "Line transversals to disjoint balls" @default.
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- W2117377355 doi "https://doi.org/10.1145/1247069.1247115" @default.
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