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arXiv · 2208.09576

Two eggs any style -- generalizing egg-drop experiments

Harold R. Parks·Dean C. Wills
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Abstract

The egg-drop experiment introduced by Konhauser, Velleman, and Wagon, later generalized by Boardman, is further generalized to two additional types. The three separate types of egg-drop experiment under consideration are examined in the context of binary decision trees. It is shown that all three types of egg-drop experiment are binary decision problems that can be solved efficiently using a non-redundant algorithm -- a class of algorithms introduced here. The preceding theoretical results are applied to the three types of egg-drop experiment to compute, for each, the maximum height of a building that can be dealt with using a given number of egg-droppings.

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Harold R. Parks, Dean C. Wills. 2022-08-20. Two eggs any style -- generalizing egg-drop experiments. https://doi.org/10.2478/rmm-2025-0001

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