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Applications of Combinatorial Matrix Theory to Laplacian Matrices of Graphs (Discrete Mathematics and Its Applications Book 71) by Jason J. Molitierno is a nonfiction available to read on EtoBox.
What is Applications of Combinatorial Matrix Theory to Laplacian Matrices of Graphs (Discrete Mathematics and Its Applications Book 71) about?
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 i."Preface On the surface, matrix theory and graph theory are seemingly very different branches of mathematics. However, these two branches of mathematics interact since it is often convenient to represent a graph as a matrix. Adjacency, Laplacian, and incidence matrices are commonly used to represent graphs. In 1973, Fiedler published his first paper on Laplacian matrices of graphs and showed how many properties of the Laplacian matrix, especially the eigenvalues, can give us useful information about the structure of the graph. Since then, many papers have been published on Laplacian matrices.
Who reads Applications of Combinatorial Matrix Theory to Laplacian Matrices of Graphs (Discrete Mathematics and Its Applications Book 71)?
It is typically read by self-directed learners exploring a subject in depth.
Common subject areas: history, science, philosophy, social sciences.
- Author
- Jason J. Molitierno
- Publisher
- CRC Press LLC
- Published
- 2012
- Language
- EN
- ISBN
- 9780429063282
- Category
- nonfiction
- Subjects
- Mathematics, Computer Science, Science
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