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» On the connectivity of dynamic random geometric graphs
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FOCS
2008
IEEE
13 years 11 months ago
Dynamic Connectivity: Connecting to Networks and Geometry
Dynamic connectivity is a well-studied problem, but so far the most compelling progress has been confined to the edge-update model: maintain an understanding of connectivity in a...
Timothy M. Chan, Mihai Patrascu, Liam Roditty
WCNC
2010
IEEE
13 years 8 months ago
Node Connectivity Analysis in Multi-Hop Wireless Networks
—In this paper, we study node connectivity in multi-hop wireless networks. Nodal degree of connectivity as one of the fundamental graph properties is the basis for the study of n...
Bahador Bakhshi, Siavash Khorsandi
MONET
2006
157views more  MONET 2006»
13 years 4 months ago
Connectivity in Wireless Ad-hoc Networks with a Log-normal Radio Model
In this paper we study connectivity in wireless ad-hoc networks by modeling the network as an undirected geometric random graph. The novel aspect in our study is that for finding t...
Ramin Hekmat, Piet Van Mieghem
COMGEO
1999
ACM
13 years 4 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
CORR
2008
Springer
139views Education» more  CORR 2008»
13 years 4 months ago
The Secrecy Graph and Some of its Properties
A new random geometric graph model, the so-called secrecy graph, is introduced and studied. The graph represents a wireless network and includes only edges over which secure commun...
Martin Haenggi