Abstract
Let F be a finite field, n∈N and CMn(F) denote the unitary Cayley graph of the matrix algebra Mn(F). In this paper, we study the first and second subconstituents of CMn(F). We determine the spectra of the subconstituents of CM2(F) by using the character table of GL2(F) and elementary linear algebra, and conclude their hyperenergeticity and Ramanujan property. Moreover, we compute the clique number, the chromatic number and the independence number of those subconstituents.
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