| _version_ | 1866901088475545600 |
|---|---|
| author | Alexander Towell |
| author_facet | Alexander Towell |
| contents | We study distinct-variable Rado numbers across multiple equation families, discovering four new closed-form conjectures for 2-color numbers, computing 3-color values (R(x+y=3z,3;distinct)=99), and conjecturing the degree of regularity: exactly 3 for k=3 and exactly 2 for k>=4. Extends our earlier work (10.5281/zenodo.19154853) with 3-color results and the regularity conjecture. |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_19212447 |
| institution | Zenodo |
| language | |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Distinct-Variable Rado Numbers: Six Conjectures, Degree of Regularity, and 3-Color Results Alexander Towell Rado numbers Ramsey theory SAT solving partition regularity degree of regularity We study distinct-variable Rado numbers across multiple equation families, discovering four new closed-form conjectures for 2-color numbers, computing 3-color values (R(x+y=3z,3;distinct)=99), and conjecturing the degree of regularity: exactly 3 for k=3 and exactly 2 for k>=4. Extends our earlier work (10.5281/zenodo.19154853) with 3-color results and the regularity conjecture. |
| title | Distinct-Variable Rado Numbers: Six Conjectures, Degree of Regularity, and 3-Color Results |
| topic | Rado numbers Ramsey theory SAT solving partition regularity degree of regularity |
| url | https://doi.org/10.5281/zenodo.19212447 |