
[Graph Theory] Comparison Between Vector Fields and Graph OperatorsJan. 3, 2024
Organizes the theoretical correspondence between the vector field operator div·grad = Δ and the Laplacian matrix in graph theory, as a personal reference note.

Organizes the theoretical correspondence between the vector field operator div·grad = Δ and the Laplacian matrix in graph theory, as a personal reference note.

Explains the rating matrix, adjacency matrix, degree matrix, and Laplacian matrix used in recommender systems, computing them with Python's Networkx library.

Explains the theory of low-pass filters in graph signal processing based on eigenvalue decomposition and eigenvectors, with a Python implementation.

Explains the theory of the graph Laplacian and its eigenvalues, introduces the Graph Fourier Transform (GFT), and its Python implementation.