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» The cover time of random geometric graphs
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FOCS
1994
IEEE
15 years 1 months ago
Randomized and deterministic algorithms for geometric spanners of small diameter
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
2006
Springer
101views Education» more  CORR 2006»
14 years 9 months ago
Geographic Gossip: Efficient Aggregation for Sensor Networks
Gossip algorithms for aggregation have recently received significant attention for sensor network applications because of their simplicity and robustness in noisy and uncertain en...
Alexandros G. Dimakis, Anand D. Sarwate, Martin J....
ICALP
2011
Springer
14 years 28 days ago
Vertex Cover in Graphs with Locally Few Colors
In [13], Erd˝os et al. defined the local chromatic number of a graph as the minimum number of colors that must appear within distance 1 of a vertex. For any ∆ ≥ 2, there are ...
Fabian Kuhn, Monaldo Mastrolilli
PPL
2000
110views more  PPL 2000»
14 years 9 months ago
Faulty Random Geometric Networks
In this paper we analyze the computational power of random geometric networks in the presence of random (edge or node) faults considering several important network parameters. We ...
Josep Díaz, Jordi Petit, Maria J. Serna
SPAA
1993
ACM
15 years 1 months ago
Optimal Parallel Construction of Hamiltonian Cycles and Spanning Trees in Random Graphs
We give tight bounds on the parallel complexity of some problems involving random graphs. Speci cally, we show that a Hamiltonian cycle, a breadth rst spanning tree, and a maximal...
Philip D. MacKenzie, Quentin F. Stout