What is the number of edges present in a simple (ie. no parallel edges, no self loops) and complete (i.e every pair of vertices is connected by an edge) graph with n vertices? Information given is insufficient (n*(n-1))/2 (n*(n+1))/2 On*n
Q: Course : Algorithm Show two possible solutions for the m-coloring problem to find all possible…
A: Actually, algorithm is an step by step process.
Q: Any simple graph with n (n ≥ 3) vertices and more than 1/2*(n-2)2 edges is connected. True or…
A: Given question are ture or false question.
Q: create an vertex-disjoint algorithm with a run time of O(n^3)
A: vertex-disjoint algorithm with a run time of O(n^3): The algorithm is implemented below:
Q: Find the directed distances from the vertex to all other vertices of G.
A:
Q: For the following graph, list the vertices in the order they might be encountered in a breadth first…
A: Given: For the following graph, list the vertices in the order they might be encountered in a…
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A: Dijkstra's Algorithms It is used to find the shortest path between the source to all the vertices…
Q: You will create an implementation of this algorithm. Your driver program should provide a graph and…
A: Actually, algorithm is an step by step process.
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A: DFS stands for Depth-First Search, a graph traversal algorithm that explores as far as possible…
Q: Given a cycle graph C, and a complete graph Kn on n vertices (n2 3), select all the correct…
A: The correct answer along with the explanation.
Q: Suppose you have a graph with N vertices. What is the largest number of edges it may have? log N…
A: Below is the answer assuming the graph provided is an undirected graph.
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A: #include<stdio.h>void DFS(int);int G[10][10],visited[10],num; //num is no of vertices and…
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A: a) If you find the solution doubtful or doesn't match with your answer provided, or you feel that I…
Q: Create a topological sort of the data in the following graph:
A: NodeIn-DegreeA0B0C0D0E2F2G1H2I2
Q: using vertex 'A' as the starting vertex, perform BFS traversal on the graph, and collect the visited…
A: Performed the BFS traversal on the given graph
Q: You're given a simple undirected graph G with N vertices and M edges. You have to assign, to each…
A: Input/Output Format: First line will contain TT, number of testcases. Then the testcases follow.…
Q: 5. Vertices: (a, b, c, d, e, f. g} Edges: {{a,b). {a, f). (b, e). (b. g). (c. f). {c. g). (c. d).…
A: vertices {a,b,c,d,e,f,g} edes given draw graph and find adjacent vertices of vertex c find shortest…
Q: B A E F A |am]o]]u]u B с D E F A B C D E F 0 0 0 0 1 0 0 0 A 0 1 0 B001 COO 0 DOO 0 E 0 0|0|1|0 0 1…
A: Code execution:
Q: A directed graph that has a path from each vertex to every other vertex is known as strongly…
A: The solution for the above given question is given below:
Q: 6. In Java create an algorithm for an undirected graph with n vertices and m edges that... - Takes…
A: Start.Initialize an adjacency list representation of the graph with n vertices.Add edges to the…
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- P R O B L E M D E S C R I P T I O N :1. As described in the reading and lecture, an adjacency matrix for a graph with n verticesnumber 0, 1, …, n – 1 is an n by n array matrix such that matrix[i][j] is 1 (or true) ifthere is an edge from vertex i to vertex j, and 0 (or false) otherwise.2. In this assignment, you will implement the methods identified in the stub code below insupport of the Graph ADT that uses an adjacency matrix to represent an undirected,unweighted graph with no self-loops.import java.util.*; // for all needed JCF classespublic class Graph { private int[][] matrix;// the adjacency matrix of the graph. // Creates an n x n array with all values initialized to 0. public Graph(int n) {// your code here } // end constructor // This method returns the number of nodes in the graph. public int getNumVertices() {// your code here } // end getNumVertices // This method returns the number of edges in the graph. public int getNumEdges() {// your code here } // end getNumEdges //…3. Write an algorithm that uses an adjacency matrix, A[n][n], to determine if a graph is undirected (for every edge there is an edge in the reverse direction).Alert dont submit AI generated answer. Write a program that reads a weighted graph and an initial vertex.The program must print on the screen the minimum paths obtained by Dijkstra's algorithm. Input: Receives n, m and s; n is the total number of vertices, m the total number of arcs and s is the initial vertex.Next, m lines, each line with a trio of integers, corresponding to the beginning and end of the arc, followed by the weight of the arc.(Vertices are identified from 0 to n-1.) Output: Prints the shortest paths obtained by Dijkstra's algorithm. Exemple: Input: 5 10 00 1 100 4 51 2 11 4 22 3 43 2 63 0 74 1 34 2 94 3 2 Output: [0, 8, 9, 7, 5][-1, 4, 1, 4, 0]
- We recollect that Kruskal's Algorithm is used to find the minimum spanning tree in a weighted graph. Given a weighted undirected graph G = (V , E, W), with n vertices/nodes, the algorithm will first sort the edges in E according to their weights. It will then select (n-1) edges with smallest weights that do not form a cycle. (A cycle in a graph is a path along the edges of a graph that starts at a node and ends at the same node after visiting at least one other node and not traversing any of the edges more than once.) Use Kruskal's Algorithm to nd the weight of the minimum spanning tree for the following graph.Show what the final distance and previous array values will be after running the shortest path algorithm from class on the following graph, starting at vertex 2: 1 6 5 4 4 4 2 7 0 5 5 6 2 2 3 13 6