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Journal Articles Mathematics of Operations Research Year : 2008

Discrete splittings of the necklace

Abstract

This paper deals with, direct proofs and combinatorial proofs of the famous necklace theorem of Alon, Goldberg, and West. The new results are a direct proof for the case of two thieves and three types of beads, and an efficient constructive proof for the general case with two thieves. This last proof uses a theorem of Ky Fan which is a version of Tucker's lemma concerning cubical complexes instead of Simplicial complexes. © 2008 INFORMS.
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hal-00740623 , version 1 (10-10-2012)

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Frédéric Meunier. Discrete splittings of the necklace. Mathematics of Operations Research, 2008, 33 (3), pp.678. ⟨10.1287/moor.1080.0311⟩. ⟨hal-00740623⟩
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