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612-822-4611
Applications of Combinatorial Matrix Theory to Laplacian Matrices of Graphs

Applications of Combinatorial Matrix Theory to Laplacian Matrices of Graphs

Hardcover

Series: Discrete Mathematics and Its Applications

General MathematicsOperating SystemsProgramming

ISBN10: 1439863377
ISBN13: 9781439863374
Publisher: Crc Pr Inc
Published: Jan 25 2012
Pages: 426
Weight: 2.10
Height: 0.94 Width: 7.00 Depth: 10.00
Language: English

On the surface, matrix theory and graph theory seem like very different branches of mathematics. However, adjacency, Laplacian, and incidence matrices are commonly used to represent graphs, and many properties of matrices can give us useful information about the structure of graphs.

Applications of Combinatorial Matrix Theory to Laplacian Matrices of Graphs is a compilation of many of the exciting results concerning Laplacian matrices developed since the mid 1970s by well-known mathematicians such as Fallat, Fiedler, Grone, Kirkland, Merris, Mohar, Neumann, Shader, Sunder, and more. The text is complemented by many examples and detailed calculations, and sections followed by exercises to aid the reader in gaining a deeper understanding of the material. Although some exercises are routine, others require a more in-depth analysis of the theorems and ask the reader to prove those that go beyond what was presented in the section.

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