We present two new sufficient conditions in terms of the spectral radius \(\rho (G)\) guaranteeing that a k-connected graph G is Hamilton-connected, unless G belongs to a collection of exceptional graphs. We use the Bondy–Chvátal closure to characterize these exceptional graphs.

中文翻译：

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k-连通图的Hamilton-连通性的足够谱半径条件

我们在谱半径\(\rho (G)\)方面提出了两个新的充分条件，保证k连通图G是哈密顿连通的，除非G属于异常图的集合。我们使用 Bondy-Chvátal 闭包来表征这些特殊的图。