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» Augmenting the Connectivity of Planar and Geometric Graphs
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ALGOSENSORS
2004
Springer
13 years 10 months ago
On a Conjecture Related to Geometric Routing
We conjecture that any planar 3-connected graph can be embedded in the plane in such a way that for any nodes s and t, there is a path from s to t such that the Euclidean distance ...
Christos H. Papadimitriou, David Ratajczak
TCS
2008
13 years 5 months ago
Succinct representations of planar maps
This paper addresses the problem of representing the connectivity information of geometric objects using as little memory as possible. As opposed to raw compression issues, the fo...
Luca Castelli Aleardi, Olivier Devillers, Gilles S...
ESA
2005
Springer
145views Algorithms» more  ESA 2005»
13 years 11 months ago
Approximation Schemes for Minimum 2-Connected Spanning Subgraphs in Weighted Planar Graphs
Abstract. We present new approximation schemes for various classical problems of finding the minimum-weight spanning subgraph in edge-weighted undirected planar graphs that are re...
André Berger, Artur Czumaj, Michelangelo Gr...
JNW
2007
104views more  JNW 2007»
13 years 5 months ago
A Distributed Graph Algorithm for Geometric Routing in Ad Hoc Wireless Networks
— This paper presented a fully distributed algorithm to compute a planar subgraph of the underlying wireless connectivity graph. This work considered the idealized unit disk grap...
Rashid Bin Muhammad
GD
2009
Springer
13 years 10 months ago
Geometric Simultaneous Embeddings of a Graph and a Matching
The geometric simultaneous embedding problem asks whether two planar graphs on the same set of vertices in the plane can be drawn using straight lines, such that each graph is pla...
Sergio Cabello, Marc J. van Kreveld, Giuseppe Liot...