Every threshold graph is sandwiched between anti-regular graphs, and this sandwich yields eigenvalue-free intervals, inertia formulas, and partial results on the anti-regular optimality conjecture.
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The role of the anti-regular graph in the spectral analysis of threshold graphs
Every threshold graph is sandwiched between anti-regular graphs, and this sandwich yields eigenvalue-free intervals, inertia formulas, and partial results on the anti-regular optimality conjecture.