Question: You are given a directed graph G with n vertices and m edges. A number of the vertices is an assignment of a color to

You are given a directed graph G with n vertices and m edges. A number of the vertices is an assignment of a color to each vertex: with the following restriction: if (u,v)is an edge in the graph then number(u) <= number(v)

Design algorithm that returns maximum number of different number that can be used to number the graph. Give run time analysis.

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Databases Questions!

Provide an ecient algorithm that given a directed graph G with n vertices and m edges as input, nds the outdegree of each vertex in G. Note that outdegree of a vertex u is the number of edges...

algorithms 2. [10pts] Provide an efficient algorithm that given a directed graph G with n vertices and m edges as input, finds the outdegree of each vertex in G. Note that outdegree of a vertex u is...

Consider the following problem: You are given an undirected graph G with n vertices and m edges, along with a source vertex s. You want to find the shortest paths from s to all other vertices in G....

3. Assume a directed graph G with n vertices and m edges, in which the weight of all edges are equal. Which of the following time complexities is needed to compute the shortest path from a vertex V...

Provide an algorithm that given an undirected graph G with n vertices and m edges as input, finds out whether G contains a cycle. Verify that your algorithm runs in O(n + m) time and Provide an...

3. Design an algorithm such that Input: Directed graph G with n vertices and m edges defined by an array of adjacency lists and vertex v in G. Output: The list of all vertices u such that there is a...

(20 points) Consider a directed graph G with n vertices and m edges, where every node is labeled with a unique number from the set {1,... ,n). For every node u, let min(u) be the smallest label among...

(20 points) Consider a directed graph G with n vertices and m edges, where every node is labeled with a unique number from the set 1,...,n among all the vertices that can be reached from u. Give an(m...

Suppose we are given a directed graph G with n vertices, and let M be the n n adjacency matrix corresponding to G. (a) Let the produet of M with itself (M2) be defined, for 1 sijS n, as follows:...

Suppose we are given a directed graph G with n vertices, and let M be the n n adjacency matrix corresponding to G (a) Let the product of M with itself (M2) be defined, for 1 i,jn, as follows: where...

Suppose your firm is currently employing a traditional volume-based product costing system. Further, suppose that you begin to improve this system by incrementally modifying one cost pool at a time...

Wingers uses the dollar-value LIFO method of computing its inventory. Data for the past 3 years follow. Compute the value of the 2008 and 2009 inventories using the dollar value LIFOmethod. Year...

How is the pauli exclusion principle derived from slater determinants

QUESTION 6 If a stock's beta increases, what will happen to the stock's alpha? A . It will increase. B . It will not change. C . It will decrease.

e. What do you know about your ethnic background?

a. What values did your parents or guardians attempt to instill in you?

b. Why were these values considered important?