Cutting convex curves

Cited 0 time in webofscience Cited 0 time in scopus
  • Hit : 290
  • Download : 0
We show that for any two convex curves C-1 and C-2 in R-d parametrized by [0, 1] with opposite orientations, there exists a hyperplane H with the following property: For any t is an element of [0, 1] the points C-1 (t) and C-2(t) are never in the same open half space bounded by H. This will be deduced from a more general result on equipartitions of ordered point sets by hyperplanes. (C) 2016 Elsevier Ltd. All rights reserved.
Publisher
ACADEMIC PRESS LTD- ELSEVIER SCIENCE LTD
Issue Date
2016-11
Language
English
Article Type
Article
Citation

EUROPEAN JOURNAL OF COMBINATORICS, v.58, pp.34 - 37

ISSN
0195-6698
DOI
10.1016/j.ejc.2016.04.011
URI
http://hdl.handle.net/10203/213201
Appears in Collection
MA-Journal Papers(저널논문)
Files in This Item
There are no files associated with this item.

qr_code

  • mendeley

    citeulike


rss_1.0 rss_2.0 atom_1.0