The α-spectral radius of uniform hypergraphs concerning degrees and domination number

For 0 <= alpha < 1 and an r-uniform hypergraph H, the a-spectral radius of H is the maximum modulus of eigenvalues of alpha D(H) + (1 - alpha)A(H), where D(H) and A(H) are the diagonal tensor of degrees and the adjacency tensor of H, respectively. In this paper, we give a lower bound on the a-spectral radius of a linear alpha-uniform hypergraph in terms of its domination number. Then, we obtain some bounds on the aspectral radius in terms of vertex degrees and we characterize the extremal hypergraphs attaining the bound.