Lecture 07 : Power Method for Top Eigenvalues

نویسندگان

  • Yuan Zhou
  • Syed Mahbub Hafiz
چکیده

In the last lecture, we have proved the harder side of the Cheegar’s Inequality, i.e. the conductance of a graph is upper bounded by second smallest eigenvalue, in formula, ΦG ≤ √ 2λ2. To prove that we took any vector ~ X having the property ~ X ⊥ ~1 and Rayleigh Quotient R(LG, ~ X) = ~ XLG ~ X ~ XT ~ X = λ2 to construct a set so that the conductance of the graph is upper bounded by the inequality.

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تاریخ انتشار 2016