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In this chapter, we will learn additional techniques of linear algebra, especially the min-max principle for the calculation of eigenvalues. With this, various estimates for the most important graph invariants are derived using the eigenvalues of the graph matrices.

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Graph Properties and Min-Max Principle

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  • 发表日期：

    2025年

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  • Kiyan Naderi,
  • Konstantin Pankrashkin

摘要

In this chapter, we will learn additional techniques of linear algebra, especially the min-max principle for the calculation of eigenvalues. With this, various estimates for the most important graph invariants are derived using the eigenvalues of the graph matrices.