1. Compute the average path length and average diameter. 2. Peripheral and Central vertex of the graph.

Q: A weighted graph is a graph in which each carries a value

A: The question is as follows- A weighted graph is a graph in which each_____carries a value. So let’s…

Q: Draw adjacency matrix for the given graph with nodes 1 to 4

A: Adjacency Matrix of a graph represents the edges of a graph. It is a n*n matrix in which if for two…

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

A: Answer

Q: How do you determine if a given directed graph has a cycle?

A: In the data structure, the graph is a non-linear data structure. There are two types of graph…

Q: display the matrices DO, Da, Db , Dc and Dd and their corresponding path matrices So, Sa, Sb, Sc and…

A: //importing packagesimport java.util.*;import java.lang.*;import java.io.*;//main classclass…

Q: Why are all the edges required to be relaxed at most (V-1) times to determine the negative cycle?…

A: (V-1) iterations of the Bellman-Ford algorithm, the shortest path to any vertex will be found, and…

Q: ii. 1 4. Represent the above undirected graph using i. adjacency matrix adjacency list 3 2 4 5

A: Solution: a> The nearness matrix, generally conjointly known as the affiliation matrix, of a…

Q: List all of the paths from 1 to 4 in the graph S with a length of 5. b) The adjacent matrix for the…

A: Dear Student, Here we have to get from 1 to 4 with a path length of 5 all the possible paths are…

Q: Find the path in the graph using the prism shortest path algorithm.

A:

Q: Find the all-pair shortest path for the following graph.

A: Summary:In this question, we need to find all pairs of shortest paths for the given graph.

Q: For the following graph, find the vertices adjacent to vertex 2: 1 2 3 (A 0 123 (в) оз 1 D)0 13

A: A graph G is a set of vertices and edges and it is denoted as G = {V, E} where G is a graph, V is…

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: ive the adjacency matrix of the graph.

A: Solution - In the given question, we have to find the adjacency matrix for the given graph.

Q: d e b f 15

A: Answer to the above question is in step2.

Q: Question 16 The degree of a vertex in a Graph is defined as: O Total number of vertices in the…

A: Question :-

Q: 2. Find the adjacency matrix of the graph in the figure. V₁ V2 V3 V4 V6 V5

A: Answer: We have drawn the adjacency matrix between the vertices and also we have explain in the more…

Q: Write code to Finding Shortest Path from Source in a 2D graph

A: In a 2D network, we often need to determine the shortest route from a single source to every other…

Q: 3. Draw a graph with degree sequence 1,1,4,6,6

A: - We have the graph with the asked degree sequence.

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: Draw a simple undirected graph G that has15 vertices, 15 edges.

A: Given:  vertices=15 edges=15

Q: What is a negative cycle in a graph? How can one calculate the shortest distances from a source…

A: GIVEN: What is a negative cycle in a graph? How can one calculate the shortest distances from a…

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: In graph theory how does the addition of edges impact the properties of an adjacency matrix?

A: Graph theory is a branch of discrete mathematics that explores the relationships between…

Q: 10. Let G be a connected graph with n vertices. What is the minimum number of edges of G? (Your…

A: In this question, we are asked the minimum number of edges for a connected graph. I have explained…

Q: 3.Draw a graph given the following adjacency matrix. Represent the drawn graph using Adjacency List…

A: Here, we are going to design the graph from given adjacency matrix and also we are going to design…

Q: B A E Write the Adjacency Matrix of the given graph. FL G H

A: The adjacency matrix is a basic depiction of the relationships between nodes in a graph in the…

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

A:

Q: 8. The number of edges of the complete graph Ks is.

A: Planar Graph:   A graph is said to be planar if it can be drawn in a plane so that no edge cross.…

Q: What is the chromatic number of this graph?

A: The chromatic number of a graph is least number of colours needed to make colouring. No two adjacent…

Q: Draw a Complete Graph, Kn, with n > 4 that has a Hamiltonian Cycle but does not have an Eulerian…

A: A Hamiltonian cycle is a cycle in a graph that visits every vertex exactly once, except for the…

Q: What is a negative cycle in a graph? How can a negative cycle graph be used to calculate the…

A: negative cycle in a graph:  A negative cycle in a graph is a cycle in where the sum of all its…

Q: Question 2: Please use Dijkstra's Algorithm to find the shortest paths from node 1 to node 6 and 7…

A:

Q: What are the main parts of the planar graph Select one: a. Matrix of neighbours and incidences b.…

A: A planer graph refers to a connected graph that is created without any edge crossing another edge.…

Q: Show that in a simple graph with at least two vertices there must be two vertices that have the same…

A: Graph: The graph is a non-linear data structure with edges and vertices. In a graph, the nodes are…

Q: Consider the following undirected graph, find the the degree of the vertex B. А E C D.

A: As we already know Graph is nothing but a collection of edges and nodes (vertex). The number of…

Q: Identify and write Euler circuit and Euler path. Also mention vertices, edges and degree of all…

A: Vertices                   Degree A 4 a 2 B 4 b 2 c 2 D 4 d 2 e 2 f 2 G 4 g 2…

Q: The correct graph that matches the following adjacency matrix is: 5 3 1 5 2 1 5. 5 3 3 888 2. 1. 8 8…

A: As it is a symmetry matrix it is Undirected graph. Let the nodes be A,B,C,D,E,F