Sciweavers

CCCG
2006
13 years 6 months ago
Spanning trees across axis-parallel segments
Abstract. Given a set P of points and a set S of pairwise disjoint axis-parallel line segments in the plane, we construct a straight line spanning tree T on P such that every segme...
Csaba D. Tóth, Michael Hoffmann
CCCG
2006
13 years 6 months ago
A Study of Conway's Thrackle Conjecture
A thrackle is a drawing of a simple graph on the plane, where each edge is drawn as a smooth arc with distinct end-points, and every two arcs have exactly one common point, at whi...
Wei Li 0011, Karen Daniels, Konstantin A. Rybnikov
CCCG
2006
13 years 6 months ago
Realization of Degree 10 Minimum Spanning Trees in 3-Space
We show that any tree whose maximum degree is at most 10 can be drawn in 3-space such that it is the minimum spanning tree of its vertices.
James A. King
CCCG
2006
13 years 6 months ago
On the Maximum Span of Fixed-Angle Chains
Soss proved that it is NP-hard to find the maximum flat span of a fixed-angle polygonal chain: the largest distance achievable between the endpoints in a planar embedding. These f...
Nadia Benbernou, Joseph O'Rourke
CCCG
2006
13 years 6 months ago
The Complexity of a Pop-Up Book
Origami is the centuries-old art of folding paper, and recently, it is investigated as science. In this paper, another hundreds-old art of folding paper, a pop-up book, is studied...
Ryuhei Uehara, Sachio Teramoto
CCCG
2006
13 years 6 months ago
Optimal Polygon Placement
Given a simple polygon P with m vertices and a set S of n points in the plane, we consider the problem of finding a rigid motion placement of P that contains the maximum number of...
Prosenjit Bose, Jason Morrison
CCCG
2006
13 years 6 months ago
Small Weak Epsilon-Nets in Three Dimensions
We study the problem of finding small weak -nets in three dimensions and provide new upper and lower bounds on the value of for which a weak -net of a given small constant size e...
Maryam Babazadeh, Hamid Zarrabi-Zadeh
CCCG
2006
13 years 6 months ago
Shortest Descending Paths through Given Faces
A path from s to t on a polyhedral terrain is descending if the height of a point p never increases while we move p along the path from s to t. No efficient algorithm is known to ...
Mustaq Ahmed, Anna Lubiw
CCCG
2006
13 years 6 months ago
Another Paradigm for Geometric Constraints Solving
Geometric constraints solving often relies on graphbased methods to decompose systems of geometric constraints. These methods have intrinsic and unavoidable limitations which are ...
Dominique Michelucci, Sebti Foufou, Loïc Lama...