Use the Greedy Algorithm to find a Hamiltonian circuit beginning at vertex A in the weighted graph shown

Q: 7. Consider the following graph: B A •C D (a) Write the degree of each vertex (write it next to the…

A: 7 a) Degree of vertex: Degree of a vertex is denoted by the number of the edges that are connecting…

Q: Find the maximum flow of graph K₁. a 5 b 8 8 a C Od c 10 10 14 15 12 16 d K₁ 12 t

A: Given graph contains, Set of vertices= {s, a, b, c, d, t} Source node is s and sink node is t. It…

Q: Use the Prim's algorithm to find an MCST of the graph. Show your steps in detail. Sketch your final…

A: Answer

Q: (a) the chromatic number of G. Give a minimal colouring and a proof that a smaller number of colours…

A: The chromatic number of graph G is to determine the minimum number of colors needed vertex hence,…

Q: The graph below does not have an Euler path and does not have an Euler circuit.

A: a)  Euler Path: A path that travels every edge of a connected graph once and only once and starts…

Q: Demonstrate how an Approximation approach can be utilised to solve the Vertex Cover problem for the…

A: According to the information given:- We have to solve the given Vertex Cover problem using…

Q: Represent the transition matrices of the following graphs:

A:

Q: 9. e f 6. 11 d. 14 9. 10 15 a 7 b

A: Here in this question we have given a graph and we have asked to apply kruskal algorithm to find…

Q: Choose the correct statement. [Choose the most appropriate answer] O None of the option is correct O…

A: A graph has Euler circuit if following two conditions are true.1) All vertices with non-zero degree…

Q: Write an algorithm to find cycle in a Graph

A: Write an algorithm to find cycle in a Graph

Q: d e b f 15

A: Answer to the above question is in step2.

Q: OF E D Determine the degree of each vertex in the above graph. Determine a path and a circuit for…

A: To determine the degree of each vertex, find the number of edges incident to each vertex in an…

Q: a. Draw the directed graph corresponding to the adjacency matrix. [101] 2 1 0 Lo 2 1 b. Using the…

A: The above question is solved in step 2 :-

Q: 15 b 21 14 c 17 d 00 2. 1.

A: Initialize distances from the source to all vertices as infinite and distance to the source itself…

Q: E F B ប A Determine whether the graph contains an Euler path or an Euler circuit. Select the one…

A: Answer: We need to write the given graph is Euler path or Euler circuit. So we will see in the more…

Q: Model the following problem as a network flow problem and write down the corresponding linear…

A: first we have to formulate given graph in matrix form       [0, 1, 1, 0, 0]  [0, 0, 1, 0, 1]  [0,…

Q: From the graph G given below identify the number of vertices and edges A B C Vertices 3 and Edges 4…

A: In a diagram of a graph, a vertex is usually represented by a circle with a label, and an edge is…

Q: B. Draw the adjacency matrix for this graph. В A D

A: The following is the adjacency matrix for above diagram:       A      B      C       D A    0      1…

Q: Evaluate the Degrees and Neighborhoods of the vertices in the graphs G:

A:

Q: Draw an undirected graph with 6 vertices that has an Eulerian Cycle and a Hamiltonian Cycle. The…

A: A Hamiltonian Cycle is a path in a graph that visits every vertex exactly once and ends at the…

Q: C do Apply Dijkstra's algorithm to find the shortest path from the vertex a to the vertex h. b 10…

A: If you are given a graph and a vertex of source in the graph, find the shortest paths from the…

Q: В A D E G

A: Adjacency matrix is a method to represent graphs. If there are n vertices in a directed graph, then…

Q: Hamiltonian circuit or disprove its existence in the graph. F L B K DE D

A: This is very popular and very easy concept in the discrete mathematics called Hamiltonian circuit or…

Q: For the following graph, apply Floyd-Warshall’salgorithm to find out All-pair shortest path. Show…

A: Apply Floyd-Warshall’salgorithm   1 2 3 4 5 6 7 1 0 INF INF -c INF INF INF 2 b 0 -h INF INF…

Q: 2i Obtain equidistant points between =[-1,1] as x; = 1; i e {0,1,2, ..,n}. Plot Lagrange n…

A: import matplotlib.pyplot as pltimport numpy as npimport scipy.interpolate #runge's formuladef f(x):…

Q: Execute the Belman-Ford algorithm on the given graph. Let A be the start node and select the edges…

A: To Do: To write the value of d[D] after second iteration.

Q: For the following graphs, either find an Euler cycle, does not exist. or explain why one XX

A: An Eulerian cycle, also called an Eulerian circuit, Euler circuit, Eulerian tour, or Euler tour, is…

Q: Identify if the graphs below are Euler graphs. Show the Euler path

A: Eulerian Path is a path in graph that visits every edge exactly once. Eulerian Circuit is an…

Q: Find whether the below graph is HAMILTONIAN GRAPH or not. Find whether the graph has a Hamiltonian…

A: A graph is Hamiltonian  if it has a Hamiltonian Circuit, where Hamiltonian Circuit or Path is the…

Q: Question 5: Consider the following graph. Find the shortest path from 'a' to all other vertices…

A:

Q: Given a graph G, please do the following: a) Show the adjacency matrix for graph G. Show the…

A:

Q: Perform a

A: According to the question we need to answer:

Q: Explain the working process of Thorup's algorithm for single source shortest path for undirected…

A: To determine the shortest routes from a single source to all other nodes in a graph, Thorup's…

Q: Give an example of a graph that has an Euler cycle that is also a Hamiltonian cycle.

A: Let's consider the following graph:1A---B 2| | 3C---D

Q: Activity 3.6. Does the graph below have an Euler Circuit? If so, find one using Fleury's algorithm.…

A: In this question we have to find the euler circuit using Fleury's Algorithm for the given…