Spectral Graph Theory

Deep End Era. Engineering with Sankalp · Oct 10, 2026 · 1h 1m

Can you hear the structure of a network? Represent a graph as a matrix and its eigenvalues begin to reveal connectivity, bottlenecks and patterns that are difficult to see in a drawing. This episode develops the Laplacian, the Fiedler vector and connections to geometric intuition before moving to expanders, sparsification and efficient solvers. It also explores graph signals and neural networks, connecting mathematical structure to practical network analysis.

Created by Sankalp Thakur. A Transient Labs production.

Website: https://transientlabs.ai

GitHub: https://github.com/sankalpsthakur

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