The effect on the spectral radius of r-graphs by grafting or contracting edges

Abstract

Let H (r) n be the set of all connected r-graphs with given size n. In this paper, we investigate the effect on the spectral radius of r-uniform hypergraphs by grafting or contracting an edge and then give the ordering of the r-graphs with small spectral radius over H (r) n , when n ≥ 20.