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math.CO2025
The non-existence of some Moore polygons and spectral Moore bounds
Sebastian M. Cioabă, Vishal Gupta, Hiroshi Nozaki +1
In this paper, we study the maximum order of a connected -regular graph whose second largest eigenvalue is at most . From Alon-Boppana and Serre, we know that $v(k,θ…
math.CO2025
Clique complexes of strongly regular graphs, their eigenvalues, and cohomology groups
Sebastian M. Cioabă, Krystal Guo, Chunxu Ji +1
It is known that non-isomorphic strongly regular graphs with the same parameters must be cospectral (have the same eigenvalues). In this paper, we investigate whether the spectra o…