An undirected graph, G = {V, E}, defined as follows:   V = {a, b, c, d, e, f, g, h, i, j, k, l, m} ,    E = {(a, b), (a, d), (a, h), (b, c), (b, d), (b, e), (c, f), (d, h), (d, i), (e, f), (e, i), (e, j), (f, g), (f, j), (f, k), (g, k), (h, i), (h, l), (i, j), (i, m), (j, m), (k, m), (l, m)}   Please give the Graph figure (10%) and its Adjacency List with increasing order by alphabet (10%). After that, present its DFS Spanning Tree (15%) and BFS Spanning Tree (15%) from Vertex C.   You can insert your hand-drawn figure into the  replying web page or  insert a hyperlink, which connects to a public cloud space saving your answer in hand-drawn figures or other types presentations.

Q: Given the following adjacency matrix: A В D E G H 1 B 1 1 1 1 1 D 1 1 1 1 F 1 G 1 H. Create a graph…

A: Here have to determine Adjacency Graph.

Q: An edge is called a bridge if the removal of the edge increases the number of connected components…

A: An edge is called a bridge if the removal of the edge increases the number of connected components…

Q: 01_

A: Solved below:

Q: Suppose you have the following graph, what is the correct representation of its edges? D O E=…

A: correct ans:- D- E= {(A,B), (B,A),(B,C),(C,B),(B,D),(D,B),(C,E),(E,C),(D,E),(E,D),(E,F),(F,E)…

Q: A) Both Z and K are implemented with adjecency lists. Analyze the running time of DrawAlgo, argue…

A: The implementation is given as,

Q: Given the following undirected unweighted graph G(V, E). a C What is E? b d e

A: The given graph is G ( V , E ) where , V represent the set of all vertices which is present in a…

Q: Draw a picture of the graph G=)V, E), where V-{a, b, c, d, e}, E={e_1, e_2, e_3, e_4, e_5, e_6}, and…

A: We need to draw a graph of the given vertices and edges of the graph. The vertices are- V =…

Q: (d) a C b) f (h

A:

Q: Frequently, a planar graph G=(V,E) is represented in the edgelist form, which for each vertex vi V…

A: SUMMARY: - hence, we discussed all the points.

Q: Consider a graph G = (V, E). V = (a, b, c, d, e, f, g, h, i, j} and E = { {f, h}, {e, d}, {c, b},…

A:

Q: A. [2,4] encodes the adjacent vertex 2 and vertex 4.

A: Option A. [2,4] encodes the adjacent vertex 2 and vertex 4. In encoding information is highly…

Q: Q4/ Consider the directed graph G1 with the set of vertices (A; B;C; D; Eg and eight weighted edges,…

A: We have 5 vertices (A,B,C,D,E). We have 8 directed edges also. We need to create a directed graph…

Q: Give me examples of Suns graph Suns : Recall that a graph is chordal if it contains no induced…

A: - we need to provide examples of suns graph.   - We have the data over suns graph mentioned in the…

Q: a d b a) Give the vertex set of the G. b) Give the set of edge of G. c) Find the degree of each of…

A: In this question we have been given with the graph and we have to answer for the graph theory…

Q: c. Below an adjacency list representation of an undirected graph where there are no weights assigned…

A: An undirected graph is a set of nodes and a set of links between the nodes.

Q: Give a definition of Graph Embedding, Planar Embedding. Is the following graph a planar graph?…

A:

Q: G be a connected graph in which only one node have degree > '1' and rest of nodes are of degree '1'.…

A:

Q: Write Algorithm Bar Visibility Input: a biconnected plane graph G = (V,E) Output: a bar visibility…

A: Bar Visibility Algorithm: given data: Input: a biconnected plane graph G = (V,E)Output: a bar…

Q: Exercise 4. Let D be a digraph. 1. Suppose that 8+ (D) ≤ 1 and let C be a cycle in D. Show that C is…

A: Directed Cycles:Directed cycles refer to a sequence of vertices in a directed graph where there is…

Q: Data: (1) EdgeList[1... 2m]: edge list representation for graph G = (V, E), |V| = n, |E| = m; each…

A: spanning tree algorithm for given data is:-

Q: In data structures and algorithms,a connected Graph T without any cycle is called?

A: In data structures and algorithms, a connected Graph T without any cycle is called A tree graph. It…

Q: Write Algorithm for  Bar Visibility Input: a biconnected plane graph G = (V,E) Output: a bar…

A: The question has been answered in step2

Q: Given the following undirected unweighted graph G(V, E). a C What is E? b d e

A: A graph is an ordered pair (V, E), where V is called the vertex set and E is called the edge set. An…

Q: Discrete Mathmatics   The graph intersection of a collection of sets A1, A2, · · · , An is the…

A: Intersection graphs are graphs that represent the relationships between different sets. Each set is…

Q: Given a graph data structure: G = (V,E) where, V = {A, B, C, D, E } E = { (A,B), (A,D), (B,D),…

A: a) Drawing the graph G:``` A / \ B D / / C E ```b) Spanning trees of the graph…

Q: h which has 6 nodes and better to impl

A: Draw an example of a graph which has 6 nodes and better to implement with a Adjacency Matrix.…

Q: Fill in the missing entries to complete the adjacency list representation of the given graph V = {1,…

A: The Given information is about a graph which contains vertex as 1,2,3,4,5  And list of edges E…

Q: In order to plot a graph of f(x)=z and g(y)=z in the same graph, with t as a parameter. The function…

A: We must select the proper choice from the four presented.

Q: a set of edge (E). Dra

A: Solution - In the given graph, we have to draw the directed graph.

Q: In this task you will work with an undirected Graph G = {V, E}, where V = {f,p,s,b,l,j,t,c,d} and E…

A: Undirected graph  - An undirected graph is a mathematical structure that consists of a set of…

Q: Write a function that returns true (1) if there is an edge between given two vertices u and v,…

A: Since you are not mentioning the programming language, here we are using C++ to complete the…

Q: Assume a graph G is simple (ie. no self loop or parallel edges) . Let v be any vertex in the graph.…

A: Introduction: The given code is an implementation of the depth-first search algorithm to traverse a…

Q: Draw the graph based on its representation. Ca) V= {a, b, c, d)} E = {{a, b}, {a, d}, {b, c}, {b,…

A: Here in this question we have given different format to represent graph .like adjacency list.,…

Q: (i) If A is connected then B is connected (and vice versa: If B... then A) (ii)  If A is simple…

A: (i) False. A counterexample is a graph A consisting of two disconnected triangles, where B is the…

Q: When trying to represent a graph, why is it preferable to make use of an adjacency matrix as opposed…

A: Introduction: Consider the graph given below.   The adjacency matrix of the above graph can be…

Q: An adjacency matrix might be a better choice for speeding up a program, however, it consumes huge…

A: Given : An adjacency matrix might be a better choice for speeding up a program, however, it…

Q: A graph with V = {1, 2, 3, 4} is described by G =[a{1,2}, b{1,2}, c{1,4}, d{2,3}, e{3,4}, f{3,4}].…

A: The

Q: Given: V = {1,2,3,4,5} E = {(1,2), (1,3), (1,4), (1,5), (2,4), (2,5), (3,4)} %3D a) Draw the graph G…

A: Given: V = {1,2,3,4,5} E = {(1,2), (1,3), (1,4), (1,5), (2,4), (2,5), (3,4)}

Q: A directed graph G= (V,E) consists of a set of vertices V, and a set of edges E such that each…

A:

Q: We say a graph G = (V, E) has a k-coloring for some positive integer k if we can assign k different…

A: Answer: Graph Colouring:  Let G be graph and m be a given positive number. With m colours we have…

Q: An undirected graph G is defined by its edge list [(0, 1,3), (0, 4,3), (1, 2, 6), (1,4,4), (1, 3,…

A: According to the information given"- We have to follow the instruction in order to find the minimal…

Q: Adjacency lists on a graph may be represented as linked lists, but only in a certain form. Show your…

A: Yes, adjacency lists on a graph can be represented as linked lists, where each vertex in the graph…