给定权集的赋权双圈图的谱半径(英文)

On the spectral radius of weighted bicyclic graphs with a positive weight set

令BWn,n,n＋1表示阶为n的赋权双圈图的集合，W = {w1,w2,...,wn＋1}，其中w1 ≥ w2 ≥... ≥ wn＋1 〉 0为权集合．本文确定了它们中谱半径最大的赋权双圈图的结构及部分权值的分布情况．

Let BWn,n,n＋1 denote the set of bicyclic weighted graphs of order n with the weightset W. In this article we determine the structure and some weight distribution of the weighted bicyclic graph with the largest spectral radius in BWn,n＋1 with a fixed weight set W = {w1,w2,...,wn＋1}, where w1 ≥ w2 ≥... ≥ wn＋1 〉 0.