assignmentutor-lab™ 为您的留学生涯保驾护航 在代写网络分析Network Analysis方面已经树立了自己的口碑, 保证靠谱, 高质且原创的统计Statistics代写服务。我们的专家在代写网络分析Network Analysis代写方面经验极为丰富，各种代写网络分析Network Analysis相关的作业也就用不着说。

• Statistical Inference 统计推断
• Statistical Computing 统计计算
• (Generalized) Linear Models 广义线性模型
• Statistical Machine Learning 统计机器学习
• Longitudinal Data Analysis 纵向数据分析
• Foundations of Data Science 数据科学基础

## 统计代写|网络分析代写Network Analysis代考|A rooted tree

In a rooted tree, there is a specific root from where the tree grows. Unlike a real tree, a tree in graph theory is usually represented as inverted tree starting with a root. Each node is attached to one or more child nodes. However, it can only have a single parent. A typical general rooted tree structure is shown in Fig. 2.12. A tree is organized as levels. A root is always at level 0 , and subsequent children in the hierarchy are arranged in different higher levels according to their relationships. As shown in Fig. 2.12, Root $\mathbf{A}$ is in level $\mathbf{0}$, and $\mathbf{B}$ and $\mathbf{E}$ is its immediate children or offsprings. Child $\mathbf{C}, \mathbf{D}, \mathbf{F}$, and $\mathbf{G}$ in level 2 are called leaf nodes, as there are no children linked with the nodes. Following the real-life family hierarchy, node $\mathbf{B}$ and $\mathbf{E}$ are called siblings of each other. On the other hand, node $\mathbf{C}$ and $\mathbf{F}$ are not siblings, as they are derived from two different parents.

Mathematically, a rooted tree can be represented as a finite set of nodes such that the followings hold:

• There is a specially designated node called the root.
• The remaining nodes are partitioned into $n \geq 0$ disjoint sets $\mathcal{T}=\left{T_1, T_2, \cdots T_n\right}$, where each $T_i \in \mathcal{T}$ is a tree itself. $T_1, T_2, \cdots T_n$ are called the subtrees of the root.

Depending on the organization of the nodes of a tree, it may be ordered or unordered. An ordered tree is a rooted tree, in which the order of the children at every node is specified. It is an organized tree in terms of how nodes are organized. A tree is unordered if the ordering of the nodes are not important and has an arbitrary order. We may consider the tree given below as an ordered tree, where every node is a lexicographically prior to its children.

Some of the basic terminology related to a rooted tree is listed below.

## 统计代写|网络分析代写Network Analysis代考|Implementing graphs in R

Due to ease of implementation, the $R$ language is used popularly for any statistical and mathematical computations. R is a free, open-source software under the terms of the Free Software Foundation’s GNU General Public License. R supports multiple operating system platforms, including Windows, Linux, and MacOS. To work with graph or network, igraph 1 is a powerful library, which is freely downloadable and implemented in R, Python, and C programming environments. To generate a graph in $\mathrm{R}$ using igraph [2], one needs to install the package first. Any graphs can be generated using various igraph library functions. However, a graph can also be generated using the user input file. Below we present snapshots of series of $\mathrm{R}$ codes to demonstrate the use of igraph in R. We first create an input file Adj.csv (Table 2.1) corresponding to the graph given in Fig. $2.11$ by storing two column edge data, and input it to $\mathrm{R}$ functions. The $\mathrm{R}$ script for creating graphs and the corresponding outputs are shown in Fig. $2.18$ and Fig. $2.19$ respectively.

The graph is a useful tool for the mathematical representation of any complex relationship among different entities. Biological relationships are commonly represented using graphs for better understanding, and ease of computer implementation. Once represented as a graph, the biological networks can be analyzed using different standard graph analysis algorithms or customized as per the problem in hand. In the next chapter, we discuss some of the algorithms commonly used for graph analysis.

# 网络分析代考

## 统计代写|网络分析代写Network Analysis代考|A rooted tree

• 有一个特别指定的节点，称为根。
• 剩余的节点被划分为n≥0不相交集\left 的分隔符缺失或无法识别\left 的分隔符缺失或无法识别, 其中每个吨一世∈吨本身就是一棵树。吨1,吨2,⋯吨n称为根的子树。

## 有限元方法代写

assignmentutor™作为专业的留学生服务机构，多年来已为美国、英国、加拿大、澳洲等留学热门地的学生提供专业的学术服务，包括但不限于Essay代写，Assignment代写，Dissertation代写，Report代写，小组作业代写，Proposal代写，Paper代写，Presentation代写，计算机作业代写，论文修改和润色，网课代做，exam代考等等。写作范围涵盖高中，本科，研究生等海外留学全阶段，辐射金融，经济学，会计学，审计学，管理学等全球99%专业科目。写作团队既有专业英语母语作者，也有海外名校硕博留学生，每位写作老师都拥有过硬的语言能力，专业的学科背景和学术写作经验。我们承诺100%原创，100%专业，100%准时，100%满意。

## 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。

assignmentutor™您的专属作业导师
assignmentutor™您的专属作业导师