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Math 184A, Winter 2019, Prof. TeslerHomework #8, Due Wednesday March 6, 2019Chapter 9# 8, 9, 34, 41Chapter 10# 2, 10, 26, 34and the problems below, H-801 and H-802.Notes: Problem 9.8: The book’s solution is incomplete; small values of n work differently on some parts.Drawings of a few of the graphs requested:1 C2 C6 P5C S5 Problem 10.26: The length of a walk/trail/path is the number of edges, not the number of vertices.The two longest paths may or may not be tied for the same length. Assume the tree is finite (theproblem statement left that out).Problem H-801. In each part below, information about a graph is given. Decide if a graph, withoutloops, exists that satisfies the specified conditions or not. Justify your answers.(a) A simple graph with degree sequence (1, 1, 2, 3, 3, 5) (that is, six vertices, where two vertices havedegree 1, one has degree 2, two have degree 3, and one has degree 5).(b) A multigraph with degree sequence (1, 2, 2, 3, 3, 5).(c) A simple graph with degree sequence (1, 2, 2, 3, 3, 5).(d) A simple graph with degree sequence (3, 3, 3, 3).(e) A tree with six vertices and six edges.(f) A tree with three or more vertices, where two vertices have degree 1 and the rest have degrees ≥ 3.(g) A disconnected simple graph with 10 vertices, 8 edges, and a cycle.Problem H-802. These problems refer to this graph:(a) Give an example of an Eulerian trail in this graph (starting/ending at different vertices), and alsoan example of an Eulerian cycle. Or if either of these do not exist, prove it.(b) Give an example of a Hamiltonian path in this graph (starting/ending at different vertices), andalso an example of a Hamiltonian cycle.(c) Give an example of a spanning tree in this graph.(d) First, give an example of a path of length 4 in the graph from vertex 1 to vertex 2. Second, givean example of a walk of length 4 from vertex 1 to vertex 2, such that it’s a walk but is not a path.Recall that the length of a path or walk is the number of edges in the sequence of edges.本团队核心人员组成主要包括硅谷工程师、BAT一线工程师，精通德英语！我们主要业务范围是代做编程大作业、课程设计等等。我们的方向领域：window编程 数值算法 AI人工智能 金融统计 计量分析 大数据 网络编程 WEB编程 通讯编程 游戏编程多媒体linux 外挂编程 程序API图像处理 嵌入式/单片机 数据库编程 控制台 进程与线程 网络安全 汇编语言 硬件编程 软件设计 工程标准规等。其中代写编程、代写程序、代写留学生程序作业语言或工具包括但不限于以下范围:C/C++/C#代写Java代写IT代写Python代写辅导编程作业Matlab代写Haskell代写Processing代写Linux环境搭建Rust代写Data Structure Assginment 数据结构代写MIPS代写Machine Learning 作业 代写Oracle/SQL/PostgreSQL/Pig 数据库代写/代做/辅导Web开发、网站开发、网站作业ASP.NET网站开发Finance Insurace Statistics统计、回归、迭代Prolog代写Computer Computational method代做因为专业，所以值得信赖。如有需要，请加QQ：99515681 或邮箱：[email protected] 微信：codehelp