English

Completely greedy coin sets

Combinatorics 2024-07-30 v1

Abstract

We show that the binary coin set minimizes the number of coins needed to guarantee the ability to make change in any one transaction and its asymptotic uniform average cost is no worse than that of any completely greedy coin set.

Cite

@article{arxiv.2407.19137,
  title  = {Completely greedy coin sets},
  author = {Andrew J. Young},
  journal= {arXiv preprint arXiv:2407.19137},
  year   = {2024}
}
R2 v1 2026-06-28T17:55:18.157Z