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» On Geometric Spanners of Euclidean and Unit Disk Graphs
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STOC
2009
ACM
168views Algorithms» more  STOC 2009»
14 years 8 months ago
Fault-tolerant spanners for general graphs
The paper concerns graph spanners that are resistant to vertex or edge failures. Given a weighted undirected n-vertex graph G = (V, E) and an integer k 1, the subgraph H = (V, E ...
Shiri Chechik, Michael Langberg, David Peleg, Liam...
COMGEO
1999
ACM
13 years 7 months ago
Dynamic algorithms for geometric spanners of small diameter: Randomized solutions
Let S be a set of n points in IRd and let t > 1 be a real number. A t-spanner for S is a directed graph having the points of S as its vertices, such that for any pair p and q o...
Sunil Arya, David M. Mount, Michiel H. M. Smid
INFOCOM
2007
IEEE
14 years 1 months ago
Separability and Topology Control of Quasi Unit Disk Graphs
— A deep understanding of the structural properties of wireless networks is critical for evaluating the performance of network protocols and improving their designs. Many protoco...
Jianer Chen, Anxiao Jiang, Iyad A. Kanj, Ge Xia, F...
RSA
2006
81views more  RSA 2006»
13 years 7 months ago
On random points in the unit disk
Let n be a positive integer and > 0 a real number. Let Vn be a set of n points in the unit disk selected uniformly and independently at random. Define G(, n) to be the graph w...
Robert B. Ellis, Xingde Jia, Catherine H. Yan