E 3 5 A 2 D 3 For the given below graph, illustrate adjacency matrix and adjacency list. When we sould use adjacency list over adjacency matrix? – Describe with an example. For the given graph below find shortest path from source node 'a’ to all other nodes of ) the given graph. B

Q: 2. Consider the graph given by the following adjacency list: vertex adjacent vertex 2, 3, 4 2 3 1, 4…

A: Answer a) graph:

Q: 3. (a) Suppose that G is a weighted directed graph that shows different paths from home to office as…

A: Note: Here We are answering question 3) a. because the second question graph is not given.…

Q: 5. Show the adjacency matrix for this graph, where vertex i is represented by the i-th row and i-th…

A: The adjacency matrix for a graph can be made by following rules. 1. Put 1 if there is a direct edge…

Q: A weighted graph consists of 5 nodes and the connections are described by: i. ii. iii. iv. Node 1…

A: The method used for single source shortest path is minimization. Minimization method is also a…

Q: Consider the following weighted connected graph. Given that the graph starts from S node, write a C+…

A: The code is based on the Dijkstras algorithm.   #include<iostream>#include<climits>using…

Q: Question No 4. Consider the following graph a. Find all the simple paths from node A to node E b.…

A: NOTE: According to guidelines, only the first 3 questions are answered. 4. (a) The simple paths…

Q: Construct the following undirected graph in Networkx. Call appropriate functions 1. and get and…

A: Construct a above graph in python using Networkx and print adjacency matrix , edge list and node…

Q: Problem 3: Consider the following weighted graph: 5 1. Find the length of the shortest path between…

A: Here in this question we have given a graph and asked to find shortest path from a to z.and in…

Q: Given the below graph, show the minimum spanning tree using an adjacency matrix. You may use scratch…

A: We will find the minimum spanning tree using Kruskal's algorithm. Kruskal's algorithm is given as…

Q: 19. Use the graph K; to answer the following questions. 6/6 9/11 3/4 6/6 3/3 3/3 2/2 8/8 1/1 b K2 a.…

A: According to the information given:- We have to identify a cycle in the graph and reduce flow in the…

Q: Consider the graph G (V, E) below. Apply the proper Theorems and formulas to answer the following…

A: Note: As per our company guidelines, we are supposed to answer only the first 3 sub-parts. Kindly…

Q: Consider the following statements: S1:K- regular graph is always a complete graph because min…

A: Introduction :Given , Two statements S1 & S2 related to graphs.We have asked for which of them…

Q: Problem 2. Perform Breadth-First Search on the undirected graph shown in figure 2 (or show th in…

A: Breadth first search is a graph traversal algorithm where queue data structure is used.  Here when a…

Q: b) Consider the following undirected graph as shown in Figure 2. Find the articulation points in the…

A: The given undirected graph is:   The given undirected graph contains 10 vertexes. The vertex in the…

Q: adjacency matrix: A B C D E F A 0 7 19   28 B 7 0 10 18 40  C 19 10 0 16  17 D  18 16 0 14 10 E…

A: As per the QA guidelines provided the solution for first four subparts of the given question with…

Q: • Question 3: Given an undirected graph, give an algorithm that for every v returns the number of…

A: An undirected graph connected number of components. Like example; input:   index [ 1, 2, 3, 4, 5]…

Q: e know that if the heuristic function in A* is good enough, then A* can always find a shortest…

A: Answer : A* is almost similar to Dijkstra.

Q: b) Give an example of each of the following: A graph G with x(G) > @(G) = 3 A graph G which is…

A: Note- As per guidelines I am answering 3 parts (b), (c) and (d)  The following is the example of the…

Q: For the following graph: (A) Find the adjacency matrix representation of the graph. (B) Find the…

A: Adjacency matrix representation of a graph is used to show the graph connectivity. If there are n…

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

A:

Q: 4. Consider the following undirected graph as shown in Figure 2. Find the articulation points in the…

A: To Do: To find articulation points.

Q: Q3: A. Make Adjacency List and Adjacency Matrix for the following graph: (10) 5 d 6 8 a 2 5 e 10 B.…

A: Introduction of Adjacency List in the graph: In Computer Science, a Graph is a non-linear data…

Q: A directed graph G is defined using the following sets of vertices and edges. V = {n, n2, n3, N4,…

A:

Q: 5. Construct a single graph G that satisfies the following 3 conditions. G has exactly 4 nodes. ii.…

A: a graph that have exactly 4 nodes,non simple graph and waekly connected

Q: Question#3 Use the graph A above to trace the execution of Dijkstra's algorithm as it solves the…

A: Using Dijkstra's algorithm to find the shortest path of the given graph

Q: Choose a graph G with with vertices v0, v1, .., v9 and find a minimum spanning tree for G: 1. Use…

A: Choose a graph G with vertices v0,v1,.......,v9 and find a minimum spanning tree for G: 1. Use…

Q: a) Now suppose the graph above is a residual graph after processing two augmenting paths. What were…

A: According to the information given:- We have to find the 2 augmenting path and directed graph with…

Q: 5. Given the directed graph as below: А B E F (D H List the nodes of, in ascending order, starting…

A: Using BFT and DFT to ascending order in the given graph

Q: 4) Consider the problem of finding the length of a "longest" path in a weighted, not necessarily…

A: First we will  initialize distances to all vertices as minus infinite and distance to source as 0,…

Q: Construct a single graph G that satisfies the following 3 conditions. i. G has exactly 4 nodes. ii.…

A: Non Simple Graph is a graph with at least one loop  Weakly connected graph is a graph in which there…

Q: 3. Find the minimal Spanning tree for the following graph. Consider "C" as the starting node. B

A: Step by steps: -   Create an empty graph with no edges. select the node which can explore from…

Q: Consider the graph in following. Suppose the nodes are stored in memory in a linear array DATA as…

A: Adjacency matrix A:

Q: 3. Given the following example of UAG graphs: 12 12 6 21 10 (5 \21 14 15 15 8. Graph A Graph B Graph…

A:

Q: Problem 3. Give a linear time, depth-first-search algorithm to find the size of the largest…

A:

Q: 8. Consider the following directed graph G as shown in Figure 2. Answer the following. a) Is the…

A: according to our guidelines we are supposed to answer only first 3 sub-parts :

Q: For the following graph: (A) Find the adjacency matrix representation of the graph. (B) Find the…

A: For the given directed binary tree  adjacency matrix and BFS traversal is given below.

Q: Algorithm : (1. Single-destination Shortest Path, 2. Bellman-Ford, 3. Negative-Weight Cycles),…

A: The Bellman-Ford algorithm works well to find shortest path from a source to destination in the…

Q: Consider the complete bipartite graph with A vertices on one side with the weights equal to 1 and B…

A: We need to find the optimal vertex cover of the given complete bipartite graph.

Q: Consider the complete bipartite graph with A vertices on one side with the weights equal to 1 and B…

A: It is defined as a pair of sets (V, E), where V is the set of vertices and E is the set of edges,…

Q: Choose a graph G with with vertices v0, v1, .., v9 and find a minimum spanning tree for G: 1. Use…

A: ANSWER: Minimum Spanning Tree: Spanning tree cost is proportion of stores of relative huge number of…

Q: 1. Given the map below, we want to find a path from K to R. Consider only graph search, i.e each…

A: Here we find solution path using :…

Q: (a) Prove that the single-source shortest path problem has no solution in a graph with a negative…

A: Actually, graph is a non linear data structure. Which consist of nodes and edges.

Q: Find the weight matrix of the graph in Figure 12-28. 5. 10 6. 6. 4. 10 3 8. 11 IGURE 12-28 Graph for…

A: please do upvote for my efforts!   answer: 1)

Q: Consider the following graph b which of the following sequences of vertices determine Not a walk?

A: STEP-1 The correct is ("a,b,f,a") Option("a")

Q: Be G= (V.E) a connected graph and u, vEV. The distance Come in u and v, denoted by du, v), is the…

A:

Q: (a) Find the shortest path from vertex S to vertex T, i.e., the path of minimum weight between S and…

A: To solve the above problem for the shortest path problem we can use the Dijkstra's algorithm A.)…

Q: Consider a directed graph G with n nodes. Write a function findUnreachableNode that takes a node and…

A: #include <iostream>#include <list>using namespace std; // Graph class represents a…

Q: Consider the following directed graph, G, and answer the questions. [Do not submit any coding, the…

A: Given that Part(1)  Apply Depth-First Search (DFS) algorithm over this graph and find each vertex's…

Q: . Let G be a triangle-free graph on 100 vertices (A graph is triangle-free if it contains no…

A:

Q: 'ou can construct an adjacency list from an adjacency matrix in O(|E|) time, where |E| is the number…

A: Here is the answer.