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» On Convex Quadrangulations of Point Sets on the Plane
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COMPGEOM
2008
ACM
14 years 11 months ago
Extremal problems on triangle areas in two and three dimensions
The study of extremal problems on triangle areas was initiated in a series of papers by Erdos and Purdy in the early 1970s. In this paper we present new results on such problems, ...
Adrian Dumitrescu, Micha Sharir, Csaba D. Tó...
94
Voted
SODA
1993
ACM
119views Algorithms» more  SODA 1993»
14 years 11 months ago
Iterated Nearest Neighbors and Finding Minimal Polytopes
We introduce a new method for nding several types of optimal k-point sets, minimizing perimeter, diameter, circumradius, and related measures, by testing sets of the O(k) nearest ...
David Eppstein, Jeff Erickson
SIAMJO
2010
136views more  SIAMJO 2010»
14 years 4 months ago
A New Exchange Method for Convex Semi-Infinite Programming
In this paper we propose a new exchange method for solving convex semi-infinite programming (CSIP) problems. We introduce a new dropping-rule in the proposed exchange algorithm, wh...
Liping Zhang, Soon-Yi Wu, Marco A. López
GD
2009
Springer
15 years 2 months ago
Drawing Hamiltonian Cycles with No Large Angles
Let n ≥ 4 be even. It is shown that every set S of n points in the plane can be connected by a (possibly self-intersecting) spanning tour (Hamiltonian cycle) consisting of n str...
Adrian Dumitrescu, János Pach, Géza ...
IFIP
1998
Springer
15 years 1 months ago
One Sided Error Predicates in Geometric Computing
A conservative implementation of a predicate returns true only if the exact predicate is true. That is, we accept a one sided error for the implementation. For geometric predicate...
Lutz Kettner, Emo Welzl