Rosa's Conjecture
Statement
An important conjecture related to the triangular cactus is the Rosa's Conjecture, named after Alexander Rosa, which says that all triangular cacti are graceful or nearly-graceful. More precisely
All triangular cacti with t ≡ 0, 1 mod 4 blocks are graceful, and those with t ≡ 2, 3 mod 4 are near graceful.
Further reading
- Wikipedia, page 9944209, revision 1374720138, Cactus graph, section Triangular cactus > Rosa's Conjecture. adopted
About this page
| Tag | 2SG37J430M |
|---|---|
| URI | m2://2SG37J430M |
| Kind | statement, proposition |
| Writing | W0 stub |
| Status | This copy of the site has no build data. Run m2 status 2SG37J430M. |
| Changed | 4 November 2026 |
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