19th Ave New York, NY 95822, USA

# 数学代写|图论作业代写Graph Theory代考|Optimization problems on graphs

my-assignmentexpert™ 图论graph theory作业代写，免费提交作业要求， 满意后付款，成绩80\%以下全额退款，安全省心无顾虑。专业硕 博写手团队，所有订单可靠准时，保证 100% 原创。my-assignmentexpert™， 最高质量的图论graph theory作业代写，服务覆盖北美、欧洲、澳洲等 国家。 在代写价格方面，考虑到同学们的经济条件，在保障代写质量的前提下，我们为客户提供最合理的价格。 由于统计Statistics作业种类很多，同时其中的大部分作业在字数上都没有具体要求，因此图论graph theory作业代写的价格不固定。通常在经济学专家查看完作业要求之后会给出报价。作业难度和截止日期对价格也有很大的影响。

my-assignmentexpert™ 为您的留学生涯保驾护航 在数学Mathematics作业代写方面已经树立了自己的口碑, 保证靠谱, 高质且原创的数学Mathematics代写服务。我们的专家在图论graph theory代写方面经验极为丰富，各种图论graph theory相关的作业也就用不着 说。

## 数学代写|图论作业代写Graph Theory代考|Independent sets and cliques

A set of vertices of a graph $G$ is an independent set or stable set if no two vertices are adjacent. An independent set of $G$ is called maximal if it is not contained in a larger independent set, and maximum if its cardinality is largest possible. The independence number (or stability number) $\alpha(G)$ is the size of the largest independent set.

A set of vertices of $G$ is complete if all pairs of vertices are adjacent. A complete set is a clique if it is a maximal complete set, and it is a maximum clique if its cardinality is largest possible. The clique number $\omega(G)$ is the size of a largest complete set.
An independent set in a graph is strong if it intersects every maximal clique. A strong clique is defined analogously. These concepts are related to others in graph theory, including perfect matchings, well-covered graphs and perfect graphs, as well as in other areas of mathematics. Chapter 10 gives an introduction to strong cliques and strong independent sets.

## 数学代写|图论作业代写Graph Theory代考|Dominating sets and vertex covers

A set S of vertices of a graph $G$ is a dominating set if every vertex in $G$ is either in $S$ or adjacent to a vertex in $S$. The domination number of $G$ is the size of the largest such set.

A vertex-cover of a graph is a set of vertices that includes at least one end-vertex of every edge of the graph. The vertex-cover number of $G$ is the size of a minimum vertex-cover and is often denoted by $\tau(G)$. The sum of the independence number and the vertex-cover number of a graph equals its order – that is, $\alpha(G)+\tau(G)=|V(G)|$. Computing the domination number and the vertex-cover number of a graph are NPcomplete problems.

## 数学代写|图论作业代写GRAPH THEORY代考|Matchings and edge covers

A matching in a graph $G$ is a set $M$ of pairwise disjoint edges. The matching number $\mu(G)$ is the maximum size that a matching can have. Finding a maximum matching in a graph has polynomial time complexity. König’s theorem states that for a bipartite graph, the matching number and vertex-cover numbers are equal. Restricted types of matchings form the topic of Chapter 11 .

An edge cover of a graph is a set of edges for which every vertex of the graph is incident with at least one edge of the set. Unlike the general vertex-cover problem which is NP-complete, finding a minimum edge cover in a graph can be solved in polynomial time.

## Matlab代写

MATLAB 是一种用于技术计算的高性能语言。它将计算、可视化和编程集成在一个易于使用的环境中，其中问题和解决方案以熟悉的数学符号表示。典型用途包括：数学和计算算法开发建模、仿真和原型制作数据分析、探索和可视化科学和工程图形应用程序开发，包括图形用户界面构建MATLAB 是一个交互式系统，其基本数据元素是一个不需要维度的数组。这使您可以解决许多技术计算问题，尤其是那些具有矩阵和向量公式的问题，而只需用 C 或 Fortran 等标量非交互式语言编写程序所需的时间的一小部分。MATLAB 名称代表矩阵实验室。MATLAB 最初的编写目的是提供对由 LINPACK 和 EISPACK 项目开发的矩阵软件的轻松访问，这两个项目共同代表了矩阵计算软件的最新技术。MATLAB 经过多年的发展，得到了许多用户的投入。在大学环境中，它是数学、工程和科学入门和高级课程的标准教学工具。在工业领域，MATLAB 是高效研究、开发和分析的首选工具。MATLAB 具有一系列称为工具箱的特定于应用程序的解决方案。对于大多数 MATLAB 用户来说非常重要，工具箱允许您学习应用专业技术。工具箱是 MATLAB 函数（M 文件）的综合集合，可扩展 MATLAB 环境以解决特定类别的问题。可用工具箱的领域包括信号处理、控制系统、神经网络、模糊逻辑、小波、仿真等。