https://www.vishalv.com/tags/laplacian Personal website of Vishal V, featuring writing, ideas, projects, and research en-us vishalvignesh.iitm@gmail.com (Vishal V) vishalvignesh.iitm@gmail.com (Vishal V) Tue, 21 Jul 2026 00:00:00 GMT https://www.vishalv.com/notes/anuyahUnderstandingGraphDatabases2024 https://www.vishalv.com/notes/anuyahUnderstandingGraphDatabases2024 This tutorial serves as a comprehensive guide for understanding graph databases, focusing on the fundamentals of graph theory while showcasing practical applications across various fields. It starts by introducing foundational concepts and delves into the structure of graphs... Tue, 21 Jul 2026 00:00:00 GMT vishalvignesh.iitm@gmail.com (Vishal V) laplacian https://www.vishalv.com/notes/belkinLaplacianEigenmapsSpectral2002 https://www.vishalv.com/notes/belkinLaplacianEigenmapsSpectral2002 Drawing on the correspondence between the graph Laplacian, the Laplace-Beltrami operator on a manifold , and the connections to the heat equation , we propose a geometrically motivated algorithm for constructing a representation for data sampled from a low dimensional manifold... Tue, 21 Jul 2026 00:00:00 GMT vishalvignesh.iitm@gmail.com (Vishal V) laplacian https://www.vishalv.com/notes/roughgardenCS168ModernAlgorithmic https://www.vishalv.com/notes/roughgardenCS168ModernAlgorithmic Research notes on CS168: The Modern Algorithmic Toolbox Lectures #11: Spectral Graph Theory, I. Tue, 21 Jul 2026 00:00:00 GMT vishalvignesh.iitm@gmail.com (Vishal V) laplacianadjacency-matrix