Description

Book Synopsis
Explores the discrete Laplace operator on finite and infinite graphs. The eigenvalues of the discrete Laplace operator have long been used in graph theory as a convenient tool for understanding the structure of complex graphs. They can also be used in order to estimate the rate of convergence to equilibrium of a random walk on finite graphs.

Table of Contents
  • The Laplace operator on graphs
  • Spectral properties of the Laplace operator
  • Geometric bounds for the eigenvalues
  • Eigenvalues on infinite graphs
  • Estimates of the heat kernel
  • The type problem
  • Exercises
  • Bibliography
  • Index

    Introduction to Analysis on Graphs

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    Order before 4pm today for delivery by Thu 22 Jan 2026.

    A Paperback by Alexander Grigor`yan

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      View other formats and editions of Introduction to Analysis on Graphs by Alexander Grigor`yan

      Publisher: MP-AMM American Mathematical
      Publication Date: 10/30/2018 12:00:00 AM
      ISBN13: 9781470443979, 978-1470443979
      ISBN10: 147044397X

      Description

      Book Synopsis
      Explores the discrete Laplace operator on finite and infinite graphs. The eigenvalues of the discrete Laplace operator have long been used in graph theory as a convenient tool for understanding the structure of complex graphs. They can also be used in order to estimate the rate of convergence to equilibrium of a random walk on finite graphs.

      Table of Contents
      • The Laplace operator on graphs
      • Spectral properties of the Laplace operator
      • Geometric bounds for the eigenvalues
      • Eigenvalues on infinite graphs
      • Estimates of the heat kernel
      • The type problem
      • Exercises
      • Bibliography
      • Index

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