This analysis shows tightness of weight-distribution bounds on eigenvalues in strongly regular and unitary polar graphs, implying key insights into graph properties.
In this paper, we show the tightness of the weight‐distribution bound for the positive nonprincipal eigenvalue of strongly regular (affine) polar graphs and characterise the optimal eigenfunctions. Additionally, we show the tightness of the weight‐distribution bound for the negative nonprincipal eigenvalue of some unitary polar graphs.
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Evans et al. (2025) studied this question.
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