Let G =(V,E) be a simple graph with n vertices and m edges, γ(G) be its signless Laplacian spectral radius .In this paper, we study the hamiltonicity of G via its signless Laplacian spectral radius ,and respectively give a sufficient condition of a graph containing Hamilton road and a graph containing pancyclic graphs.% 设 G =(V,E)是一个具有m 条边的 n 阶简单图,γ(G)是图 G 的无符号拉普拉斯谱半径。本文利用图的无符号拉普拉斯谱半径讨论了图的 Hamilton 性,并分别给出了一个图包含 Hamilton 路以及泛圈图的充分条件。
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