Wen-Huan Wang

The largest α-spectral radius of the k-uniform unicyclic hypergraphs with perfect matchings

Let G be a k-uniform hypergraph with k ⩾ 2 and 0 ⩽ α < 1. The α-spectral radius of G is the largest modulus of all the eigenvalues of Aα (G), where Aα (G) = αD(G) + (1-α)A(G) is the convex linear combination of D(G) and A(G) with D(G) and A(G) being the degree diagonal tensor and the adjacency tensor of G, respectively...