There have been researches on sufficient spectral conditions for Hamiltonian properties and path-coverable properties of graphs. Utilizing the Bondy–Chvátal closure, we provide a unified approach to study sufficient graph eigenvalue conditions for these properties and sharpen several former spectral Hamiltonian results on balanced bipartite graphs and complementary graphs.

中文翻译：

---

平衡二部图和补图的统一光谱哈密顿结果

已经研究了足够的光谱条件以用于图的哈密顿性质和路径可覆盖性质。利用邦迪-查瓦尔封闭，我们提供了一种统一的方法来研究具有这些特性的足够的图特征值条件，并在平衡二分图和互补图上锐化了一些以前的光谱哈密顿量结果。