The extremal t-uniform unicyclic hypergraph on Estrada index


Yongde Feng, Zhongxun Zhu, Yuan Wang, Meng Zhang




For a t-uniform hypergraph H = (V(H), E(H)), the Estrada index EE(H) of H is defined as i∈[n] e θ i, where θ 1 ,. .. , θ n are the eigevalues of the adjacency matrix of H. In this paper, the extremal t-uniform unicylic hypergraph which has maximum Estrada index are characterized.