More about 4-isosceles planar sets

被引：2
|
作者：
Xu, CQ [1 ]
Ren, D
机构：
[1] Shandong Univ, Dept Math, Jinan 250100, Peoples R China
[2] Hebei Normal Univ, Math Dept, Shijiazhuang 050016, Peoples R China
来源：
DISCRETE & COMPUTATIONAL GEOMETRY | 2004年 / 31卷 / 04期
关键词：
D O I：
10.1007/s00454-003-0825-4
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
A finite planar set is k-isosceles for k greater than or equal to 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.
引用
收藏
页码：655 / 663
页数：9
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