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 ...

The eigenvalue of a graph is the eigenvalue of its adjacency matrix. A graph G is integral if all of its eigenvalues are integers. In this paper some new classes of integral graphs are constructed.

It is not known whether or not the stable rational cohomology groups H̃* (Aut(F∞); ℚ) always vanish (see Hatcher in [5] and Hatcher and Vogtmann in [7] where they pose the question and show that it ...