查询词典 directed graph

In 2004 Zhang Zhongfu presented the concept ofadjacent vertex distinguishing total coloring whose content is: Let G be a connectedsimple graph with order at least 2, k be a positive integer and f be a mappling fromV∪E to {1,2,...,k}. Let C={f}∪{f|uv∈E,v∈V}for all u∈V. If (1) for any uv, vw∈E,u≠w, we have f≠f;(2) for any uv∈E, we have f≠f, f≠f, f≠f,then f is called a k-proper total coloring of graph G.

第三章和第四章主要研究了两种联图的邻点可区别全染色，邻点可区别全染色的定义是张忠辅在2004年提出来的，其内容为：设G是阶至少为2的简单连通图，k是正整数，f是V∪E到{1，2，…，k}的映射，对任意u∈V，记C={f}∪{f|uv∈E，v∈V}。

In order to check bisimulation for value--passing processes with infinite data domain, the symbolic transition graph and the symbolic transition graph with assignment are introduced by Hennessy and Lin as semantic models of value-passing processes, and strong bisimulation algorithms based on such graphs are also proposed.

为刻画和验证无穷值域上的传值进程，Hennessy和Lin先后提出符号迁移图和带赋值符号迁移图作为传值进程的语义表示模型，并给出了相应的强互模拟算法。

In order to check bisimulation for value-passing processes with infinite data domain,the symbolic transition graph STG and the symbolic transition graph with assignment STGA are introduced by Hennessy and Lin as semantic models of value-passing processes,and strong bisimulation algorithms based on such graphs are also proposed.

为刻画和验证无穷值域上的传值进程， Hennessy和Lin先后提出符号迁移图STG和带赋值符号迁移图STGA作为传值进程的语义表示模型，并给出了相应的强互模拟算法。

Since all elements on the primary diagonal are 1' s and the dimensions are less than 2006, the graph with A 2006 as its adjacency matrix is the transitive closure of the graph represented by A .

由于主对角线上的元素都是1，而且矩阵的阶小于2006，所以为 A 2006邻接矩阵的图就是由 A 表示的图的传递闭包。

In chapter 4, we studythe cyclic edge connectedness of regular half vertex transitive graphs, we showthat a connected k(≥4)-regular half vertex transitive graph X with girthg≥6 isλ_c-optimal, and we also obtain a su?cient and necessary conditionfor a connected k(≥4)-regular half vertex transitive graph X with girth 4 tobeλ_c-optimal.

第四章，我们研究了正则半点传递图的圈边连通性问题，主要结果是证明了一个围长为g≥6的k(≥4)-正则连通半点传递图X是λ_c-最优的，并且得到了一个围长为g = 4的k(≥4)-正则连通半点传递图X是λ_c-最优的充分必要条件。

With this interface, the setting of initial conditions, the combination of arbitrary parameters, the geometrical display of power spectrums, trochoid chart of phase portraits, Poincare mapping, analogous dynamic graph of displacements and the analogous vibration graph of mass blocks can be realized in an interactive way.

通过该可视化分析模型可以对非线性振动系统的混沌动力特性等进行全面地研究。该可视化分析模型具有操作简单、可视化程度高、可变参数调节方便、计算机仿真准确和分析问题全面等优点。

By the help of numerical analysis and graphic recognition, Duffing-van der Pol non-linear vibration system with 9 parameters has been researched, the Graphic User Interface contains initial conditions, 9 parameters, power spectrums, trochoid chart of phase portraits, Poincaré mapping, analogous dynamic graph of displacements and the analogous vibration graph of mass blocks, the various dynamic characteristics of the non-linear vibration can be attained, which makes it possible to fully implement the visualized computer experiments and study of Duffing-van der Pol non-linear vibration system.

因为混沌运动十分复杂，在研究和模拟混沌运动的过程中，不但要进行大量的数值计算，而且要将计算结果直观地展示出来以便观察混沌现象，完成这一任务非计算机不可。自从洛伦茨利用计算机发现了第一个混沌吸引子以后，30多年来正是有赖于计算机技术的发展，促使混沌的研究取得迅速的发展。另一方面，混沌运动是确定性系统中出现的一种貌似随机的现象，走向混沌有其独特的过程，只有展示出它的演化过程，才能很好地了解混沌运动。也就是说，混沌是一门关于过程、演化的科学而不是一门关于状态、存在的科学。因此，只有利用计算机才能将混沌的动态过程和演化的方式真正地体现出来。

I will give you an undirected graph, and you just need to tell me whether the graph is just a circle.

我会给你一个无向图，你需要告诉我这个图标是否仅仅是个圆圈。

Ore gave an upper bound of the number of edges of an undirected graph in terms of order and diameter of the graph.

Ore通过图的顶点数和直径给出无向图的最大边数。

In the algorithm, at first a weighted and undirected graph is constructed among data points in a dataset according to the model, where each data point corresponds to a vertex in the graph, and is regarded as an agent who can move randomly in space.

在此算法中，数据集中的样本点根据改进的随机游动模型，生成有权无向图，其中每个样本点对应图的一个顶点，并且假设每个顶点为可以在空间中移动的Agent。

Foods high in this vitamin include oily fish such as salmon, tuna and, and fish liver oils.

维生素D含量高的食物包括诸如大麻哈鱼、金枪鱼和鲭鱼之类的油鱼以及鱼肝油。

We need you to cosign our public letter demanding that press intimidation cease immediately, and that all charges be dropped.

我们需要您cosign我们的公共信，要求记者立即停止恐吓，并要求所有收费下降。