Name
Abstract | ||
|---|---|---|
A finite planar set is k-isosceles for k ≥ 3 if every k-point subset of the set contains a point equidistant from the other two. In [1] Fishburn obtains several important results about isosceles planar sets and poses a series of conjectures and open questions. We disprove Conjecture 1 in [1] and provide another 34 nonsimilar 4-isosceles 8-point planar sets which answer one of the open questions in [1] negatively. |
Year | DOI | Venue |
|---|---|---|
2004 | 10.1007/s00454-003-0825-4 | Discrete & Computational Geometry |
Keywords | Field | DocType |
point equidistant,open question,4-isosceles 8-point planar set,important result,4-isosceles planar sets,isosceles planar set,finite planar set,k-point subset | Equidistant,Topology,Discrete mathematics,Combinatorics,Planar,Isosceles triangle,Conjecture,Mathematics | Journal |
Volume | Issue | ISSN |
31 | 4 | 0179-5376 |
Citations | PageRank | References |
0 | 0.34 | 2 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Changqing Xu | 1 | 129 | 17.74 |
| Ren Ding | 2 | 17 | 7.18 |