public static void MyAlgorithm(Graph g) { OperationA(); for (Vertex v: g.vertices()) { // for every vertex v in the graph OperationB(); for (Edge e : g.incidentEdges(v)) { //for every edge incident to vertex v OperationC(); } } } Suppose g is a connected graph with n vertices and m edges, and the graph is represented with the adjacency list data structure. Suppose the called methods have the following running times: Method Running time OperationA() O(n) OperationB() OperationC() O(log n) O(log n) Which of the alternatives is the most precise estimate of the worst case running time of MyAlgorithm(g). O O(nm log n) O O(n² log n) O o(n*m) O((n + m) log n)
public static void MyAlgorithm(Graph g) { OperationA(); for (Vertex v: g.vertices()) { // for every vertex v in the graph OperationB(); for (Edge e : g.incidentEdges(v)) { //for every edge incident to vertex v OperationC(); } } } Suppose g is a connected graph with n vertices and m edges, and the graph is represented with the adjacency list data structure. Suppose the called methods have the following running times: Method Running time OperationA() O(n) OperationB() OperationC() O(log n) O(log n) Which of the alternatives is the most precise estimate of the worst case running time of MyAlgorithm(g). O O(nm log n) O O(n² log n) O o(n*m) O((n + m) log n)
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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Transcribed Image Text:Consider the following pseudocode
public static void MyAlgorithm(Graph<V,E> g) {
OperationA();
for (Vertex<V>v: g.vertices()) { // for every vertex v in the graph
OperationB();
for (Edge<E> e: g.incidentEdges(v)) { //for every edge incident to vertex
OperationC();
V
}
Suppose g is a connected graph with n vertices and m edges, and the graph is
represented with the adjacency list data structure. Suppose the called methods have
the following running times:
Running time
O(n)
Method
OperationA()
OperationB()
O(log n)
OperationC()
O(log n)
Which of the alternatives is the most precise estimate of the worst case running time
of MyAlgorithm(g).
O O(nm log n)
O o(n²)
O O(n² log n)
O((n + m) log n)
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