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PDP
2008
IEEE
15 years 4 months ago
Scheduling of QR Factorization Algorithms on SMP and Multi-Core Architectures
This paper examines the scalable parallel implementation of QR factorization of a general matrix, targeting SMP and multi-core architectures. Two implementations of algorithms-by-...
Gregorio Quintana-Ortí, Enrique S. Quintana...
ISAAC
1997
Springer
162views Algorithms» more  ISAAC 1997»
15 years 1 months ago
A Randomized Linear Work EREW PRAM Algorithm to Find a Minimum Spanning Forest
We present a randomized EREW PRAM algorithm to nd a minimum spanning forest in a weighted undirected graph. On an n-vertex graph the algorithm runs in o((logn)1+ ) expected time f...
Chung Keung Poon, Vijaya Ramachandran
STOC
2009
ACM
171views Algorithms» more  STOC 2009»
15 years 10 months ago
On the geometry of graphs with a forbidden minor
We study the topological simplification of graphs via random embeddings, leading ultimately to a reduction of the Gupta-Newman-Rabinovich-Sinclair (GNRS) L1 embedding conjecture t...
James R. Lee, Anastasios Sidiropoulos
IWOCA
2009
Springer
157views Algorithms» more  IWOCA 2009»
15 years 4 months ago
Forbidden Subgraph Colorings and the Oriented Chromatic Number
: We present an improved upper bound of O(d1+ 1 m−1 ) for the (2, F)-subgraph chromatic number χ2,F (G) of any graph G of maximum degree d. Here, m denotes the minimum number of...
N. R. Aravind, C. R. Subramanian
PDCAT
2004
Springer
15 years 3 months ago
An Optimal Broadcasting Algorithm for de Bruijn Network dBG(d, k)
Recent works have classified de Bruijn graph (dBG) based broadcasting algorithms into local broadcasting and arc-disjoint spanning trees based broadcasting. However, those algorit...
Ngoc Chi Nguyen, Sungyoung Lee