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» The Diameter of Sparse Random Graphs
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ISCA
2012
IEEE
280views Hardware» more  ISCA 2012»
12 years 6 days ago
A case for random shortcut topologies for HPC interconnects
—As the scales of parallel applications and platforms increase the negative impact of communication latencies on performance becomes large. Fortunately, modern High Performance C...
Michihiro Koibuchi, Hiroki Matsutani, Hideharu Ama...
WADS
2007
Springer
104views Algorithms» more  WADS 2007»
14 years 3 months ago
Faster Approximation of Distances in Graphs
Let G = (V, E) be an weighted undirected graph on n vertices and m edges, and let dG be its shortest path metric. We present two simple deterministic algorithms for approximating ...
Piotr Berman, Shiva Prasad Kasiviswanathan
FOCS
2009
IEEE
14 years 4 months ago
Faster Generation of Random Spanning Trees
In this paper, we set forth a new algorithm for generating approximately uniformly random spanning trees in undirected graphs. We show how to sample from a distribution that is wi...
Jonathan A. Kelner, Aleksander Madry
RSA
2011
126views more  RSA 2011»
13 years 4 months ago
Local resilience of almost spanning trees in random graphs
We prove that for fixed integer D and positive reals α and γ, there exists a constant C0 such that for all p satisfying p(n) ≥ C0/n, the random graph G(n, p) asymptotically a...
József Balogh, Béla Csaba, Wojciech ...
TIT
2010
82views Education» more  TIT 2010»
13 years 4 months ago
Average message delivery time for small-world networks in the continuum limit
Small-world networks are networks in which the graphical diameter of the network is as small as the diameter of random graphs but whose nodes are highly clustered when compared wit...
Hazer Inaltekin, Mung Chiang, H. Vincent Poor