Phase Transitions in Decision Problems Over Odd-Sized Alphabets
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866909610441441280 |
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| author | Jackson, Andrew |
| author_facet | Jackson, Andrew |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_09282 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Phase Transitions in Decision Problems Over Odd-Sized Alphabets Jackson, Andrew Computational Complexity 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. |
| title | Phase Transitions in Decision Problems Over Odd-Sized Alphabets |
| topic | Computational Complexity |
| url | https://arxiv.org/abs/2505.09282 |