Name
Abstract | ||
|---|---|---|
We define a new algebraic structure for two-component dichromatic links. This definition extends the notion of a kei (or involutory quandle) from regular links to dichromatic links. We call this structure a dikei that results from the generalized Reidemeister moves representing dichromatic isotopy. We give several examples on dikei and show that the set of colorings by these algebraic structures is an invariant of dichromatic links. As an application, we distinguish several pairs of dichromatic links that are symmetric as monochromatic links. |
Year | DOI | Venue |
|---|---|---|
2020 | 10.3390/sym12010111 | SYMMETRY-BASEL |
Keywords | Field | DocType |
knots and links,dichromatic links,quandles,groups | Combinatorics,Monochromatic color,Algebraic structure,Invariant (mathematics),Isotopy,Mathematics | Journal |
Volume | Issue | Citations |
12 | 1 | 0 |
PageRank | References | Authors |
0.34 | 0 | 2 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Khaled Bataineh | 1 | 0 | 0.34 |
| Ilham Saidi | 2 | 0 | 0.34 |