Name
Abstract | ||
|---|---|---|
In 1911, Toeplitz made a conjecture asserting that every Jordan curve in contains four points forming the corners of a square. Here Conjecture C is presented, which states that the side length of the largest square on a closed curve that consists of edges of an × grid is at least times the side length of the largest axis-aligned square contained inside the curve. Conjecture C implies Toeplitz’ conjecture and is verified computationally for ≤13. |
Year | DOI | Venue |
|---|---|---|
2014 | 10.1007/s00454-014-9578-5 | Discrete & Computational Geometry |
Keywords | Field | DocType |
Chordless cycle,Depth-first search,Grid graph,Inscribed square,Jordan curve,Toeplitz’ conjecture | Topology,Discrete mathematics,Combinatorics,Breadth-first search,Jordan curve theorem,Toeplitz matrix,Inscribed square problem,Conjecture,Lattice graph,Collatz conjecture,Grid,Mathematics | Journal |
Volume | Issue | ISSN |
51 | 3 | 0179-5376 |
Citations | PageRank | References |
0 | 0.34 | 0 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Ville Pettersson | 1 | 11 | 1.82 |
| Helge A. Tverberg | 2 | 0 | 0.34 |
| Patric R. J. Östergård | 3 | 609 | 70.61 |