Spectral Sparsification of Graphs: Theory and Algorithms.

The article discusses graph sparsification as an approximation of arbitrary graphs by sparse graphs, focusing on the potential implementation of graph sparsification in designing nearly linear-time algorithms for solving some linear equation systems with diagonally dominant matrices and finding maxi...

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Publicado en:Communications of the ACM Vol. 56; no. 8; pp. 87 - 95
Autores principales: Batson, Joshua, Spielman, Daniel A., Teng, Shang-Hua, Srivastava, Nikhil
Formato: Artículo
Publicado: Association for Computing Machinery Aug2013
Materias:
Acceso en línea:Ver este registro en EBSCOhost
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      dt: Aug2013
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        atl: Spectral Sparsification of Graphs: Theory and Algorithms.
      aug:
        au:
          Batson, Joshua
          Spielman, Daniel A.
          Teng, Shang-Hua
          Srivastava, Nikhil
        affil:
          Mathematics, MIT
          Computer Science & Applied Mathematics, Yale University.
          Computer Science, USC
          Microsoft Research, Bangalore
      su:
        Graph theory
        Sparse graphs
        Algorithm research
        Network analysis (Planning)
        Laplacian matrices
        Linear equations
      sug:
        subj:
          Graph theory
          Sparse graphs
          Algorithm research
          Network analysis (Planning)
          Laplacian matrices
          Linear equations
      ab: The article discusses graph sparsification as an approximation of arbitrary graphs by sparse graphs, focusing on the potential implementation of graph sparsification in designing nearly linear-time algorithms for solving some linear equation systems with diagonally dominant matrices and finding maximum flows and minimum cuts for undirected networks. Topics include similarities such as cut similarities and spectral similarities, sampling by effective resistance, Laplacian systems, and fast sparsification algorithms.
      pubtype: Periodical
      doctype: Article
      src: R
    language: English
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