27 search results - page 1 / 6 » On distinct distances from a vertex of a convex polygon |
COMPGEOM
2004
ACM
14 years 23 days ago
2004
ACM
Given a set P of n points in convex position in the plane, we prove that there exists a point p ∈ P such that the number of distinct distances from p is at least (13n−6)/36 . ...
CCCG
2010
13 years 8 months ago
2010
In this paper we present a polynomial time algorithm for computing a Hausdorff core of a polygon with a single reflex vertex. A Hausdorff core of a polygon P is a convex polygon Q...
DCG
2008
13 years 7 months ago
2008
In [GL] it was shown that a polytope with few vertices is far from being symmetric in the Banach-Mazur distance. More precisely, it was shown that Banach-Mazur distance between su...
CORR
2007
Springer
13 years 7 months ago
2007
Springer
We show that cutting shortest paths from every vertex of a convex polyhedron to a simple closed quasigeodesic, and cutting all but a short segment of the quasigeodesic, unfolds th...
ICCSA
2004
Springer
14 years 21 days ago
2004
Springer
Abstract. Given a simple n-sided polygon in the plane with a boundary partitioned into subchains some of which are convex and colored, we consider the following problem: Which is t...