Abstract
Let d(1) < d(2) < ... denote the set of all distances between two vertices of a convex n-gon. We show that the number of pairs of vertices at distance d(2) from one another is at most n + O(1). (C) 2013 Elsevier B.V. All rights reserved.
Details
Title
Small distances in convex polygons
Author(s)
Moric, Filip
Published in
Discrete Mathematics
Pagination
16
Volume
313
Issue
18
Pages
1767-1782
Date
2013
Publisher
Amsterdam, Elsevier Science Bv
ISSN
0012-365X
Keywords
Other identifier(s)
View record in Web of Science
Laboratories
DCG
Record Appears in
Scientific production and competences > SB - School of Basic Sciences > SB Archives > DCG - Chair of Combinatorial Geometry
Scientific production and competences > SB - School of Basic Sciences > Mathematics
Peer-reviewed publications
Work produced at EPFL
Journal Articles
Published
Scientific production and competences > SB - School of Basic Sciences > Mathematics
Peer-reviewed publications
Work produced at EPFL
Journal Articles
Published
Record creation date
2013-10-01