Counterexamples in Cake-Cutting
Theodore P. Hill
TL;DR
This paper presents counterexamples to existing theorems and claims in cake-cutting literature, specifically challenging previous assertions in a notable 2006 publication.
Contribution
It provides new counterexamples that disprove certain theorems and claims in the field of cake-cutting, highlighting gaps in prior proofs.
Findings
Counterexamples invalidate some previous theorems
Challenges to claims in established cake-cutting literature
Highlights need for revised proofs or conditions
Abstract
This article contains counterexamples to theorems and claims in Brams, Jones and Klamler's article "Better Ways to Cut a Cake" in the December 2006 Notices of the American Mathematical Society.
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Taxonomy
TopicsOptimization and Packing Problems