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Title: Simple eigenvalues of graph
Speaker: | Krystal Guo |
Affiliation: | University of Amsterdam |
Zoom: | Contact Soffia Arnadottir |
Abstract:
If v is an eigenvector for eigenvalue λ of a graph X and α is an automorphism of X, then α(v) is also an eigenvector for λ. Thus it is rather exceptional for an eigenvalue of a vertex-transitive graph to be simple. We study cubic vertex-transitive graphs with a non-trivial simple eigenvalue, and discover remarkable connections to arc-transitivity, regular maps and Chebyshev polynomials.
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