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math.CO2022★ 1 cited
A lower bound for the smallest eigenvalue of a graph and an application to the associahedron graph
Sebastian M. Cioabă, Vishal Gupta
In this paper, we obtain a lower bound for the smallest eigenvalue of a regular graph containing many copies of a smaller fixed subgraph. This generalizes a result of Aharoni, Alon…
math.CO2022★ 5 cited
The spectral even cycle problem
Sebastian Cioabă, Dheer Noal Desai, Michael Tait
In this paper, we study the maximum adjacency spectral radii of graphs of large order that do not contain an even cycle of given length. For , let be the join of a c…