若干等能量图族的构造

The Construction of Some Families of Equienergetic Graphs

图的邻接矩阵的特征值的绝对值之和被定义为图的能量.该图指标与共轭碳氢分子的π-电子能量紧密关联.能量相等的两个图被称为等能量图.利用矩阵的性质给出了若干等能量图族.

The energy of a graph is the sum of the absolute value of the eigenvalues of the adjacency matrix of a graph.This graph invariant is closely connected to the totalπ-electron energy of conjugated hydro carbon molecules.Two graphs are said to be equienergetic if their energies are equal.By matrix theory,some families of equienergetic graphs are constructed.