Acknowledgement of priority - A fractional Helly theorem for boxes.

Computational Geometry(2018)

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摘要
In our recent paper [1] we prove a fractional Helly type theorem for boxes in Rd. This short note is to acknowledgepriority: in 1980 Meir Katchalski [4] proved exactly the same result and in 1988 Jurgen Eckhoff [2] proved the same resultin much more generality. In fact, Eckhoff established an upper bound theorem for the f -vectors of finite families of boxesin Rd from which his result is derived. Besides apologies for our ignorance we would like to mention that Eckhoff extendedhis results further in a more recent paper [3].
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关键词
Fractional Helly theorems,Intersection properties of boxes
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