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SODA
2007
ACM
106views Algorithms» more  SODA 2007»
13 years 11 months ago
Embedding metrics into ultrametrics and graphs into spanning trees with constant average distortion
This paper addresses the basic question of how well can a tree approximate distances of a metric space or a graph. Given a graph, the problem of constructing a spanning tree in a ...
Ittai Abraham, Yair Bartal, Ofer Neiman
SRDS
1998
IEEE
14 years 2 months ago
Practical Parallel Algorithms for Minimum Spanning Trees
We study parallel algorithms for computing the minimum spanning tree of a weighted undirected graph G with n vertices and m edges. We consider an input graph G with m=n p, where p...
Frank K. H. A. Dehne, Silvia Götz
SIAMDM
2010
119views more  SIAMDM 2010»
13 years 4 months ago
A Spanning Tree Method for Bounding Hitting Times of Random Walks on Graphs
In this paper we consider the problem of computing the expected hitting time to a vertex for random walks on graphs. We give a method for computing an upper bound on the expected ...
Randy Cogill, Cheng Peng
EGH
2009
Springer
13 years 7 months ago
Fast minimum spanning tree for large graphs on the GPU
Graphics Processor Units are used for many general purpose processing due to high compute power available on them. Regular, data-parallel algorithms map well to the SIMD architect...
Vibhav Vineet, Pawan Harish, Suryakant Patidar, P....
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 ...