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RSA
2011
157views more  RSA 2011»
14 years 6 months ago
The cover time of random geometric graphs
We study the cover time of random geometric graphs. Let I(d) = [0, 1]d denote the unit torus in d dimensions. Let D(x, r) denote the ball (disc) of radius r. Let Υd be the volume...
Colin Cooper, Alan M. Frieze
COMBINATORICS
2000
89views more  COMBINATORICS 2000»
14 years 11 months ago
A Note on the Non-Colorability Threshold of a Random Graph
In this paper we consider the problem of establishing a value r0 such that almost all random graphs with n vertices and rn edges, r > r0, are asymptotically not 3-colorable. In...
Alexis C. Kaporis, Lefteris M. Kirousis, Yannis C....
CORR
2011
Springer
152views Education» more  CORR 2011»
14 years 6 months ago
Topology Discovery of Sparse Random Graphs With Few Participants
We consider the task of topology discovery of sparse random graphs using end-to-end random measurements (e.g., delay) between a subset of nodes, referred to as the participants. T...
Animashree Anandkumar, Avinatan Hassidim, Jonathan...
LATIN
1998
Springer
15 years 4 months ago
Spectral Techniques in Graph Algorithms
The existence of efficient algorithms to compute the eigenvectors and eigenvalues of graphs supplies a useful tool for the design of various graph algorithms. In this survey we de...
Noga Alon
ALGORITHMICA
2007
117views more  ALGORITHMICA 2007»
14 years 12 months ago
Random Geometric Graph Diameter in the Unit Ball
The unit ball random geometric graph G = Gd p(λ, n) has as its vertices n points distributed independently and uniformly in the unit ball in Rd, with two vertices adjacent if and ...
Robert B. Ellis, Jeremy L. Martin, Catherine H. Ya...