Please explain   When performing a topological sort, are we allowed to have a cycle in our graph? Group of answer choices a. Cycles are allowed in graphs when we perform a topological sort, and we are actually guaranteed to get a unique topological sort for any given graph.   b. Topological sort is showing a dependency among nodes in a directed acyclic graph. If we have a cycle we cannot figure out what the dependency is (i.e. which came first, the chicken or the egg?), thus we are not allowed to have a cycle.

Q: It was claimed that anyone involved in the Hollywood film industry can be linked through their film…

A: Solution:--   1)As per given in the question is to provide the solution for the required…

Q: How many edges does a graph have if its degree sequence is 2, 4, 4, 5, 3? A. Draw a graph with the…

A: Let's solve step by step:

Q: Do some outside research on depth-first traversal as it relates to traversing graphs. Then answer…

A:

Q: Given an undirected graph G, and a path P, we want to verify that P is a cycle that contains all…

A: For this problem we need a certificate verifier algorithm to prove polynomial time verification…

Q: Given an undirected graph we would like to test its connectivity, and if graph is disconnected we…

A: In the realm of graph theory, the challenge of ascertaining connectivity in an undirected graph and,…

Q: How do I do this?  We say a graph G = (V, E) has a k-coloring for some positive integer k if we can…

A: Given: How do I do this?  We say a graph G = (V, E) has a k-coloring for some positive integer k if…

Q: We need two methods for topological sorting—a method to determine if a vertex has no successors and…

A: Answer is

Q: We need two methods for topological sorting—a method to determine if a vertex has no successors and…

A: In the adjacency matrix, a vertex with no successors will be located on a row with all columns set…

Q: Suppose that G is an unconnected graph that consists of 4 connected components. The first component…

A: Euler Graph: A linked graph created by Euler. If there is a closed trail that contains every edge of…

Q: Is it true or false?  If it is true, include a (short, but clear) argument why it is true, and if it…

A: Given four statements and we need to find out if they are true or false.

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.

Q: Let n be an even positive integer. (a) Show that if the degree of every vertex in a simple graph G…

A: Given that, n is an even positive integer. (a) Consider an example of the graph with, n=4 then the…

Q: Write a topological order of vertices of above graph and illustrate your method.

A: Answer: We need to write the what are the topological order for the given graph. so we will see in…

Q: Give an example of an application of a graph in computer science. Indicate whether the graph is…

A: Graphs are used in computer science to represent networks,which are typically undirected.Cycles in…

Q: Question 4 Given a undirected weighted graph G = (E,V). With each spanning tree we associate a…

A: First of all we take the labelled edges of spanning trees, which is the maximum age of the spanning…

Q: Topological sort activities: Given a directed graph G = (V, E) where V is a set of activities and E…

A: Answer:Description of topological sort: Topological sort is an algorithm that is used for the…

Q: Topological sort activities: Given a directed graph G = (V, E) where V is a set of activities and E…

A: Answer:

Q: F(A,B,C,D) = L(0, 1, 2, 4, 5, 6, 8, 9, 12, 13)

A: Solution   Given,   Truth table:

Adjacency matrix representation

An adjacency matrix is a square matrix that represents a finite graph. The matrix denotes whether a particular pair of nodes in a graph is adjacent or not. In brief, an adjacency matrix is an array of size N x N, where N is the number of vertices in the graph. The adjacency matrix can be used to represent a directed graph, undirected graph or a weighted graph.