Topic: Adjacency and Laplacian Matrices

Laplacian Eigenvalues And The Rayleigh Quotient

Fiedler Vectors And Spectral Bottlenecks

Degree Matrices And The Graph Laplacian

Counting Walks With Powers Of The Adjacency Matrix

Computing Spanning-Tree Counts With Laplacian Cofactors

Component Blocks And Adjacency Spectra

Common Errors In Interpreting Graph Matrices

Closed Walks, Traces, And Triangle Counts

Bipartite Adjacency Matrices In Block Form

Algebraic Connectivity As A Test For Connectedness