Abstract
The Borsuk-Ulam theorem of topology is applied to a problem in discrete mathematics. A bisection of a necklace with k colors of beads is a collection of intervals whose union captures half the beads of each color. Every necklace with k colors has a bisection formed by at most k cuts. Higherdimensional generalizations are considered.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 623-628 |
| Number of pages | 6 |
| Journal | Proceedings of the American Mathematical Society |
| Volume | 98 |
| Issue number | 4 |
| DOIs | |
| State | Published - Dec 1986 |
| Externally published | Yes |
All Science Journal Classification (ASJC) codes
- General Mathematics
- Applied Mathematics