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Applications of Combinatorial Matrix Theory to Laplacian Matrices of Graphs

Om Applications of Combinatorial Matrix Theory to Laplacian Matrices of Graphs

This book presents results established over the past 40 years on Laplacian matrices of graphs developed using combinatorial matrix theory. The author focuses on the spectrum of Laplacian matrices, the algebraic connectivity of graphs, associated eigenvectors of the Laplacian matrix, and submatrices of the Laplacian matrix. All of these topics illustrate how the properties of a matrix can provide information about the associated graph and vice versa. The text also covers relevant parts of graph theory, Laplacian matrices, and combinatorial matrix theory and includes sources for each theorem.

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  • Språk:
  • Engelsk
  • ISBN:
  • 9781439863374
  • Bindende:
  • Hardback
  • Sider:
  • 426
  • Utgitt:
  • 25. januar 2012
  • Dimensjoner:
  • 183x260x30 mm.
  • Vekt:
  • 1012 g.
  • BLACK NOVEMBER
  Gratis frakt
Leveringstid: 2-4 uker
Forventet levering: 18. desember 2024

Beskrivelse av Applications of Combinatorial Matrix Theory to Laplacian Matrices of Graphs

This book presents results established over the past 40 years on Laplacian matrices of graphs developed using combinatorial matrix theory. The author focuses on the spectrum of Laplacian matrices, the algebraic connectivity of graphs, associated eigenvectors of the Laplacian matrix, and submatrices of the Laplacian matrix. All of these topics illustrate how the properties of a matrix can provide information about the associated graph and vice versa. The text also covers relevant parts of graph theory, Laplacian matrices, and combinatorial matrix theory and includes sources for each theorem.

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