Necklace Bisection with One Cut Less than Needed

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Necklace Bisection with One Cut Less than Needed

A well-known theorem of Goldberg and West states that two thieves can always split a necklace containing an even number of beads from each of k types fairly by at most k cuts. We prove that if we can use at most k− 1 cuts and fair splitting is not possible then the thieves still have the following option. Whatever way they specify two disjoint sets D1, D2 of the types of beads with D1 ∪ D2 6= ∅...

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ژورنال

عنوان ژورنال: The Electronic Journal of Combinatorics

سال: 2008

ISSN: 1077-8926

DOI: 10.37236/891