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math.CO2021
A spectral bound for vertex-transitive graphs
Arindam Biswas, Jyoti Prakash Saha
For any finite, undirected, non-bipartite, vertex-transitive graph, we establish an explicit lower bound for the smallest eigenvalue of its normalised adjacency operator, which dep…
math.CO2021★ 1 cited
Expansion in Cayley graphs, Cayley sum graphs and their twists
Arindam Biswas, Jyoti Prakash Saha
The Cayley graphs of finite groups are known to provide several examples of families of expanders, and some of them are Ramanujan graphs. Babai studied isospectral non-isomorphic C…