Graph Theory Lecture Notes
Chapter 4. Some Algebraic Graph Theory65 1. Isomorphism and Automorphism65 2. Fields and Matrices71 3. Special Matrices and Vectors73 4. Matrix Representations of Graphs73 5. Determinants, Eigenvalue and Eigenvectors76 6. Properties of the Eigenvalues of the Adjacency Matrix79 Chapter 5. Applications of Algebraic Graph Theory83 iii
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