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Q86 / 100
What is algebraic graph theory's spectral theory?
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Incorrect.
The correct answer is B) Using eigenvalues of graph matrices (adjacency, Laplacian) to determine graph properties: connectivity, expansion, diameter, chromatic number bounds
B
Correct Answer
Using eigenvalues of graph matrices (adjacency, Laplacian) to determine graph properties: connectivity, expansion, diameter, chromatic number bounds
Explanation
Spectral graph theory: λ₁ (largest Laplacian eigenvalue) bounds chromatic number (χ ≤ λ₁+1). λ₂ (Fiedler value) measures connectivity/mixing. Expanders have large spectral gap. Used in clustering (spectral clustering, NCut).
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86/100