SPECTRA OF HEISENBERG GRAPHS OVER FINITE RINGS M.DeDeo, M. Mart́ınez,A. Medrano
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چکیده
We investigate spectra of Cayley graphs for the Heisenberg group over finite rings Z/pnZ, where p is a prime. Emphasis is on graphs of degree four. We show that for odd p there is only one such connected graph up to isomorphism. When p = 2, there are at most two isomorphism classes. We study the spectra using representations of the Heisenberg group. This allows us to produce histograms and butterfly diagrams of the spectra.
منابع مشابه
Spectra of Heisenberg Graphs over Finite Rings
We investigate spectra of Cayley graphs for the Heisenberg group over Þnite rings Z/pZ, where p is a prime. Emphasis is on graphs of degree four. We show that for odd p there is only one such connected graph up to isomorphism. When p = 2, there are at most two isomorphism classes. We study the spectra using representations of the Heisenberg group. This allows us to produce histograms and butter...
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تاریخ انتشار 2003