利用距离正则图的特征值方法和交叉数的性质，证明了具有下列交叉阵列的距离正则图是不存在的。
By using the eigenvalue techniques and properties of intersection Numbers, it is obtained that the distance regular graphs with the following intersection arrays are nonexistence.
树作为一类简单而特殊的图，对它的特征值的研究能帮助了解谱的一些代数性质。
As tree is an easy and special graph, the study of its eigenvalue can help understand some algebra nature of spectrum.
对于非奇异单圈混合图，范益政给出了其最小特征值所对应特征向量的一个很好结构性质。
In the case of being a unicyclic mixed graph, Fan Yi-Zheng gives a remarkable result on the structure of the eigenvectors corresponding to its smallest eigenvalue.
提出了拓扑方法，即考虑分子图顶点的性质，直接用酯类化合物的分子碎片的特征值为主元来构建邻接矩阵。
It is proposed a new topological method of adjacent matrix of esters which was constructed by taking the characteristic value of the pieces of ester compounds as principal diagonal element.
拉普拉斯矩阵对研究图论之所以重要，是因为可以用其特征值来估计图的诸多不变量，如连通度、直径、带宽等等。
The study of Laplacian matrix is important for graphs 'study because we can estimate many invariants of g, such as connectedness, diameter, bandwidth.
根据济阳坳陷137个砂体充满度的统计数据，计算了特征值，作出了因子载荷分布图。
Based on the statistical data for the sufficient degree of 137 sand bodies in Jiyang sag to calculate the characteristic value, and make the distribution map of factor loading.
主要讨论了单圈图按其最大特征值进行排序的问题，确定了该序的前六个图。
The order of unicyclic graphs according to their largest eigenvalues is studied in this paper, and the first six unicyclic graphs in this order are determined.
研究了图的正规拉普拉斯矩阵特征值与图的坚韧度，并给出了它们之间的不等式关系。
In this paper, the eigenvalues of the normalized Laplacian and the toughness of graphs are studied and the relation of inequality between of them is given.
该特征经过积分图运算转化而使得获得某区域的特征值的复杂度为常数复杂度，而大大提高了运算速度。
Though the integration image operations transform, the features make that the complexity to access to a regional features values is constant complexity, while it greatly increased speed of operation.
对一些特定图的拉普拉斯特征值的能量的上下界及大小进行比较，并给出了新的上下界。
Comparison the upper and lower bounds and its sector of the Laplace energy for some specific graphs, and then we gives some new upper and lower bounds for these graphs.
对一些特定图的拉普拉斯特征值的能量的上下界及大小进行比较，并给出了新的上下界。
Comparison the upper and lower bounds and its sector of the Laplace energy for some specific graphs, and then we gives some new upper and lower bounds for these graphs.
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