Phase Transitions in Decision Problems Over Odd-Sized Alphabets
Computational Complexity
2025-05-15 v1
Abstract
In [A. Jackson, Explaining the ubiquity of phase transitions in decision problems (2025), arXiv:2501.14569], I established that phase transitions are always present in a large subset of decision problems over even-sized alphabets, explaining -- in part -- why phase transitions are seen so often in decision problems. However, decision problems over odd-sized alphabets were not discussed. Here, I correct that oversight, showing that a similar subset of decision problems over odd-sized alphabets also always exhibit phase transitions.
Cite
@article{arxiv.2505.09282,
title = {Phase Transitions in Decision Problems Over Odd-Sized Alphabets},
author = {Andrew Jackson},
journal= {arXiv preprint arXiv:2505.09282},
year = {2025}
}