On a Couple of Unresolved Group Testing Conjectures
Probability
2025-06-23 v2
Abstract
In the recent review published in 2019, Malinovsky and Albert conjectured analytical formulae of the optimal sample sizes for the modified Dorfman and Sterret group testing schemes and verified the validity of the formulae numerically within a broad range. However, the authors pointed out that they were unable to give a rigorous proof of the stated conjectures. In this note, we affirm and refine their hypotheses analitically thereby filling in the present gap.
Cite
@article{arxiv.2101.04729,
title = {On a Couple of Unresolved Group Testing Conjectures},
author = {Ugnė Čižikovienė and Viktor Skorniakov},
journal= {arXiv preprint arXiv:2101.04729},
year = {2025}
}