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TRACEMIN Fiedler A Parallel Algorithm for Computing the Fiedler Vector
Date
2010-06-25
Author
Manguoğlu, Murat
Saied, Faisal
Sameh, Ahmed
Metadata
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The eigenvector corresponding to the second smallest eigenvalue of the Laplacian of a graph, known as the Fiedler vector, has a number of applications in areas that include matrix reordering, graph partitioning, protein analysis, data mining, machine learning, and web search. The computation of the Fiedler vector has been regarded as an expensive process as it involves solving a large eigenvalue problem. We present a novel and efficient parallel algorithm for computing the Fiedler vector of large graphs based on the Trace Minimization algorithm. We compare the parallel performance of our method with a multilevel scheme, designed specifically for computing the Fiedler vector, which is implemented in routine MC73_FIEDLER of the Harwell Subroutine Library (HSL).
Subject Keywords
Generalized eigenvalue problem
,
Sparse matrices
,
Graphs
URI
https://hdl.handle.net/11511/79077
Conference Name
9th International Conference on High Performance Computing for Computational Science, 2010
Collections
Department of Computer Engineering, Conference / Seminar
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M. Manguoğlu, F. Saied, and A. Sameh, “TRACEMIN Fiedler A Parallel Algorithm for Computing the Fiedler Vector,” Berkeley, CA, 2010, vol. 6449, Accessed: 00, 2021. [Online]. Available: https://hdl.handle.net/11511/79077.