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» On Embedding a Graph on Two Sets of Points
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WG
2010
Springer
14 years 8 months ago
Graphs with Large Obstacle Numbers
Motivated by questions in computer vision and sensor networks, Alpert et al. [3] introduced the following definitions. Given a graph G, an obstacle representation of G is a set of...
Padmini Mukkamala, János Pach, Deniz Sari&o...
DCG
2007
102views more  DCG 2007»
14 years 9 months ago
How to Exhibit Toroidal Maps in Space
Steinitz’s Theorem states that a graph is the 1-skeleton of a convex polyhedron if and only if it is 3-connected and planar. The polyhedron is called a geometric realization of ...
Dan Archdeacon, C. Paul Bonnington, Joanna A. Elli...
ENDM
2008
142views more  ENDM 2008»
14 years 9 months ago
Augmenting the Connectivity of Planar and Geometric Graphs
In this paper we study some connectivity augmentation problems. Given a connected graph G with some desirable property, we want to make G 2-vertex connected (or 2-edge connected) ...
Ignaz Rutter, Alexander Wolff
SODA
2001
ACM
126views Algorithms» more  SODA 2001»
14 years 11 months ago
Static and kinetic geometric spanners with applications
It is well known that the Delaunay Triangulation is a spanner graph of its vertices. In this paper we show that any bounded aspect ratio triangulation in two and three dimensions ...
Menelaos I. Karavelas, Leonidas J. Guibas
EJC
2008
14 years 9 months ago
Embeddability of arrangements of pseudocircles into the sphere
An arrangement of pseudocircles is a finite set of oriented closed Jordan curves each two of which cross each other in exactly two points. To describe the combinatorial structure ...
Ronald Ortner