Jason J. Molitierno

Applications of Combinatorial Matrix Theory to Laplacian Matrices of Graphs (eBook, PDF)

• Format: PDF

Produktbeschreibung

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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Produktdetails

• Verlag: Taylor & Francis
• Seitenzahl: 425
• Erscheinungstermin: 19. April 2016
• Englisch
• ISBN-13: 9781439863398
• Artikelnr.: 38300764

Autorenporträt

Jason J. Molitierno

Inhaltsangabe

Matrix Theory Preliminaries. Graph Theory Preliminaries. Introduction to
Laplacian Matrices. Algebraic Connectivity. The Fiedler Vector and
Bottleneck Matrices for Trees. Bottleneck Matrices for Graphs. The Group
Inverse of the Laplacian Matrix.