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arXiv · 2608.29260

Generalized Spectral Closedness and the Nonexistence of Walk-Realizable Supporters for Split Graphs

Yanyang Li
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Abstract

Let $\mathcal F=\{2K_2,C_4,C_5\}$, so that $\operatorname{Forb}(\mathcal F)$ is the class of split graphs. Resolving a conjecture of Wang and Tang, we prove that the class of split graphs is generalized spectrally closed and that it admits no walk-realizable $\mathcal F$-supporter of any finite order.

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Yanyang Li. 2026-08-29. Generalized Spectral Closedness and the Nonexistence of Walk-Realizable Supporters for Split Graphs. https://arxiv.org/abs/2608.29260

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