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APPROX
2004
Springer
135views Algorithms» more  APPROX 2004»
14 years 1 months ago
The Diameter of Randomly Perturbed Digraphs and Some Applications.
The central observation of this paper is that if ǫn random arcs are added to any n-node strongly connected digraph with bounded degree then the resulting graph has diameter O(ln ...
Abraham Flaxman, Alan M. Frieze
FOCS
1994
IEEE
13 years 11 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
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
BMCBI
2007
202views more  BMCBI 2007»
13 years 7 months ago
ProtNet: a tool for stochastic simulations of protein interaction networks dynamics
Background: Protein interactions support cell organization and mediate its response to any specific stimulus. Recent technological advances have produced large data-sets that aim ...
Massimo Bernaschi, Filippo Castiglione, Alessandra...
COMBINATORICS
2006
169views more  COMBINATORICS 2006»
13 years 7 months ago
The Diameter and Laplacian Eigenvalues of Directed Graphs
For undirected graphs it has been known for some time that one can bound the diameter using the eigenvalues. In this note we give a similar result for the diameter of strongly con...
Fan R. K. Chung