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The Laplace matrix is an active and important subject in Algebra Graph Theory. It is a discrete form of the Laplace operator on the compact Rimannian manifold acting on the graphs. It has been widely used in many fields such as Physics, Chemistry, Biology, Computer net science and Information theory ,etc. Some results on the Laplace matrix are given in this thesis.

本文主要研究了代数图论中的一个课题：单圈图的Laplace谱，它是黎曼流形上的拉普拉斯算子在图上的离散形式，Laplace矩阵在物理、化学、生物和计算机通信网络研究等学科中有着广泛的应用。

This also is the moon that already announced on the world the most complete in video graph video..

"这也是世界上已公布的月球影像图中最完整的一幅影像。"

Up to isomorphism, there is just one complete graph on vertices

在同构意义下，几个顶点的完全图只有一个。

In this paper ,we proved that The Laplacian radius of the complete graph of star is 2n+1

本文证明了星图的全图的拉普拉斯谱半径为2n+1这一结论

Has completed the complete vector graph plan.

完成了全部的矢量图形的绘制。

We use the thinning algorithm and the graph theorem to complete this work.

第二部分是预测骨架。

The object relational mapper will take a complete process object graph and translate that into records in the database.

对象关系映射会获取一个完整的流程对象图，转化为数据库记录。

One is that we perform Delaunay triangulation instead of using a complete graph in the first step.

第一步骤不作完整图，因为其时间复杂度为O(n2)。本篇论文利用Delaunay triangulation当作一开始的连接图，其时间复杂度为O。

In this paper, the multi-traveling salesman problem is: to meet the triangle inequality enabling complete graph on a bi-objective optimization problem.

详细说明：本文研究的多旅行商问题是：满足三角不等式的赋权完全图上的一个双目标优化问题。

A filter graph is aa complete mechanism (different filters connected together) which is needed to run a media file.

过滤器图是一个完整的机制（不同的过滤器连接在一起），这是需要运行一个媒体文件。

She gently rebuff ed him, but agreed that they could be friends

她婉言拒绝了，但同意作为朋友相处。

If in the penal farm, you were sure to be criticized.

要是在劳改农场，你等着挨绳子吧！