The (Signless laplacian) spectral radius (of subgraphs) of uniform hypergraphs

Let λ₁ (G) and q₁ (G) be the spectral radius and the signless Laplacian spectral radius of a k-uniform hypergraph G, respectively. In this paper, we give the lower bounds of d − λ₁ (H) and 2d − q₁ (H), where H is a proper subgraph of a f (-edge)-connected d-regular (linear) k-uniform hypergraph. Meanwhile, we also give the lower bounds of 2∆ − q₁ (G) and ∆ − λ₁ (G), where G is a nonregular f (-edge)-connected (linear) k-uniform hypergraph with maximum degree ∆.