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math.CO2026
Splitting fields and spectral invariants of character degree graphs in solvable groups
G. Sivanesan, C. Selvaraj, Jacob Laubacher
In this paper, we investigate the eigenvalues of character degree graphs, with particular emphasis on the arithmetic properties of their spectra. First, we study \((n-2)\)-regular…
math.GR2026
On prime character degree graphs occurring within a family of graphs (iii)
Mark W. Bissler, Thatcher Debowski, Theodore F. Hoelker +3
We conclude the classification work done in the two previous papers of the same name. Here we add flexibility to the construction, thereby viewing the graphs in full generality. Ou…