Integral Cayley graphs, a notable subject within spectral graph theory, are graphs constructed from finite groups with the defining property that all eigenvalues of their associated adjacency matrices ...

Let G be a non-trivial finite group, S ⊆ G \ {e} be a set such that if a ϵ S, then a⁻¹ ϵ S and e be the identity element of G. Suppose that Cay(G, S) is the Cayley graph with the vertex set G such ...

The energy of a graph is the sum of the moduli of the eigenvalues of its adjacency matrix. We study the energy of integral circulant graphs, also called gcd graphs. Such a graph can be characterized ...

Illustration of a set of real zeros of a graph polynomial (middle) and two Feynman diagrams. Credit: Max Planck Institute for Mathematics in the Sciences How can the behavior of elementary particles ...