泛圈图的α-权条件

Sufficient α-index Condition for a Graph of Pancyclic

图G的α-权是指G的α权矩阵Aα(G)=αD(G)+(1-α)A(G)的最大特征值,利用图的α-权条件,给出了具有最小度条件的连通图是泛圈图的充分条件。

The largest eigenvalue of Aα(G)=αD(G)+(1-α)A(G) is called the α-index of G. In this paper, let G be a connected graph with given minimum degree, in terms of the α-index of graph, we give some sufficient conditions for it to be Pancyclic.