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2026-02-16 | Star and Path Spectrums

Goal: Extract Spectrums and Eigenvectors for Star and Path Graphs

Summary: Documented tasks to do, punting completion to tomorrow

Work sessions

In Out
15:00 15:20

Actionable Items:

  • get_rayleigh_quotient(vec: Float[Tensor, "n"], laplacian: Float[Tensor, "n n"]) -> Float[Tensor, ""]; function which

  • Plot eigenvectors in addition to eigenvalues

  • Create the parent class Graph and three child classes PathGraph, StarGraph, DyckGraph; each support creating a specific type of graph and the get_adjacency_matrix function

  • Visually compare each of the classes of graphs

  • Use Claude to create a UI which allows you to easily: (a) Create a type of graph (e.g. PathGraph) and save the graph to a .txt for uploading (b) Visualize the graph topology (c) See the eigenvalue spectrum (d) select an eigenvector to plot and its values get imposed onto the graph topology on (b) with edges annotated with difference betwen nodes (e) unselect and view just topology

I'm heavily included to use an AI coding assitant (Claude Code) only for the last portion to make sure my logic is correct