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arXiv · 2510.23249

On Conjectures concerning the Labeled Coupon Collector Problem

Dina Barak-Pelleg·Daniel Berend
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Abstract

We study a labeled variant of the classical Coupon Collector Problem (CCP), recently introduced by Tan et al., where coupons arrive in groups and only the set of labels is revealed. The goal is to determine the expected number of group drawings required to uniquely identify the labeling of all coupons. We focus on the case where groups consist of pairs ($k=2$), and provide rigorous proofs for two conjectures posed by Tan et al.

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Dina Barak-Pelleg, Daniel Berend. 2025-10-27. On Conjectures concerning the Labeled Coupon Collector Problem. https://arxiv.org/abs/2510.23249

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