1. Kruskal’s algorithm will run on a disconnected graph without any problem. Just that the minimum spanning tree will be for the connected portion of graph. The disconnected vertices will not be included in the output. This is because, Kruskal’s algorithm is based on edges of the graph.The loop iterates over the sorted edges. This means that it is considering those portions of the graph that are connected through the edges and generates minimum spanning tree (MST) for the connected portion of the graph. The disconnected vertices are never considered and hence not included at all in output.
2. Let us consider the 1st implementation of Prim’s algorithm. Prim’s algorithm will go into infinite loop and can not generate MST for disconnected graphs. Look at the loop condition , it terminates when the number of vertices in the MST is the same as the number of vertices in the graph. This condition can not be achieved if the graph is disconnected . For example let’s take some vertex u already in B and a disconnected vertex v in graph . Now we can not find an minimum length edge from u (any vertex in B) to v. So v can not be included in the set B. So B will never be equal to N and the loop goes into infinite loop. Therefore Prim’s algorithm can not work on disconnected graphs as it works by considering each of the graph’ s vertices unlike Kruskal’s algorithm, which considers edges (the connected parts of graph)
We value our customers and so we ensure that what we do is 100% original..
With us you are guaranteed of quality work done by our qualified experts.Your information and everything that you do with us is kept completely confidential.
You have to be 100% sure of the quality of your product to give a money-back guarantee. This describes us perfectly. Make sure that this guarantee is totally transparent.Read more
The Product ordered is guaranteed to be original. Orders are checked by the most advanced anti-plagiarism software in the market to assure that the Product is 100% original. The Company has a zero tolerance policy for plagiarism.Read more
The Free Revision policy is a courtesy service that the Company provides to help ensure Customer’s total satisfaction with the completed Order. To receive free revision the Company requires that the Customer provide the request within fourteen (14) days from the first completion date and within a period of thirty (30) days for dissertations.Read more
The Company is committed to protect the privacy of the Customer and it will never resell or share any of Customer’s personal information, including credit card data, with any third party. All the online transactions are processed through the secure and reliable online payment systems.Read more
By placing an order with us, you agree to the service we provide. We will endear to do all that it takes to deliver a comprehensive paper as per your requirements. We also count on your cooperation to ensure that we deliver on this mandate.Read more