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Splitting necklaces, with constraints
[article]

2020
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arXiv
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pre-print

We prove several versions of N. Alon's "necklace-splitting theorem", subject to additional constraints, as illustrated by the following results. (1) The "almost equicardinal necklace-splitting theorem" claims that, without increasing the number of cuts, one guarantees the existence of a fair splitting such that each thief is allocated (approximately) one and the same number of pieces of the necklace (including "degenerate pieces" if they exist), provided the number of thieves r=p^ν is a prime

arXiv:1907.09740v4
fatcat:5jeoa4g5nrfk5hjzilje7twrqu