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PDP
2008
IEEE
15 years 11 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 8 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»
16 years 5 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
148
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IWOCA
2009
Springer
157views Algorithms» more  IWOCA 2009»
15 years 11 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 10 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