讨论图的度序列的结构矩阵的代数性质,得到了图的度序列的结构矩阵的迹和特征值的一些有趣性质.%Let D=(d1,d2, ..., dn) be a degree sequence of a graph. The structure matrix S=S(D) of. D is a matrix of order n+1, whose entries are sij=ij min {I,j}|∑k＞idk,∑kidk where I,j=0,1,...,n. In this paper, we give some interesting properties on the trace and eigenvalues of the structure matrices.
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