Graphs and Matrices
This new edition illustrates the power of linear algebra in the study of graphs. The emphasis on matrix techniques is greater than in other texts on algebraic graph theory. Important matrices associated with graphs (for example, incidence, adjacency and Laplacian matrices) are treated in detail. Pre...
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| Language: | English |
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London :
Springer London : Imprint: Springer,
2014.
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| Edition: | 2nd ed. 2014. |
| Series: | Universitext,
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| Online Access: | https://doi.org/10.1007/978-1-4471-6569-9 |
Table of Contents:
- Preliminaries
- Incidence Matrix
- Adjacency Matrix
- Laplacian Matrix
- Cycles and Cuts
- Regular Graphs
- Line Graph of a Tree
- Algebraic Connectivity
- Distance Matrix of a Tree
- Resistance Distance
- Laplacian Eigenvalues of Threshold Graphs
- Positive Definite Completion Problem
- Matrix Games Based on Graphs.