We give a new, combinatorial proof for the necklace splitting problem for two thieves using only Tucker's lemma (a combinatorial version of the Borsuk-Ulam theorem). We show how this method can be applied to obtain a related recent result of Simonyi and even generalize it.
Paul Joseph Dyson, Mingyang Liu
Ardemis Anoush Boghossian, Sayyed Hashem Sajjadi, Yahya Rabbani, Shang-Jung Wu, Vitalijs Zubkovs