Question: algorithm 4. (10 points) A greedy algorithm for the Vertex Cover problem works as follows: Always move a vertex with the highest degree into the

algorithm

algorithm 4. (10 points) A greedy algorithm for the Vertex Cover problem

4. (10 points) A greedy algorithm for the Vertex Cover problem works as follows: Always move a vertex with the highest degree into the vertex cover, and then delete all edges incident to this vertex in the graph. Repeat the above operation until no more edges in the graph. Please provide a counter example to that this algorithm is not a 2- approximation algorithm for the Vertex Cover problem 4. (10 points) A greedy algorithm for the Vertex Cover problem works as follows: Always move a vertex with the highest degree into the vertex cover, and then delete all edges incident to this vertex in the graph. Repeat the above operation until no more edges in the graph. Please provide a counter example to that this algorithm is not a 2- approximation algorithm for the Vertex Cover

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!

Python Vertex Cover Problem Algorithm 2- INPUT: A graph G (V,E) OUTPUT: A vertex cover in G that is at most twice the size of a minimum VC roximation Greedy Vertex 2. While El 0 1. Select the highest...

re Regular Languages and Finite Automata (a) Let L be the set of all strings over the alphabet {a, b} that end in a and do not contain the substring bb. Describe a deterministic finite automaton...

(i) Write down the linear program relaxation for the vertex cover problem and solve the linear program. [6 marks] (ii) Based on the solution of the linear program in (b)(i), derive an integer...

(a) A user complains that their web application Times Out after successfully connecting to a remote host, yet, an investigation with ping indicates the remote host is alive. Propose a cause of this...

Consider an instance of Vertex Cover problem as shown in Figure 1 . The cost of the five vertices as follows: c 1 = 2 , c 2 = 5 , c 3 = 4 , c 4 = 4 . 5 , and c 5 = 2 , where c k denotes the cost of...

greedy algorithm I. Recall that a vertex cover of a graph G = (V, E) is a subset of vertices V' C V such that for each edge (a, b) E at least one of a or b is in V'. The vertex cover optimization...

Math\t107-6381\t-\tQuiz\t#4\t-\tSchultz\t-\tDue\tFebruary\t21,\t2016\t-\tpage\t1\tof 3 Follow\tthese\tdirections\tcarefully. This\tquiz\tis\tdue\tby\t11:59\tEastern\ttime\ton\tFebruary\t21,\t2016. o...

Remarks: In all algorithm, always explain how and why they work. ALWAYS, analyze the complexity of your algorithms. Prove that it works. In all algorithms, always try to get the fastest possible. A...

413-432_CH18_Nachmias.qxd 1/17/07 3:47 PM Page 413 Chapter Index Construction and Scaling Methods INDEX CONSTRUCTION The Purpose of the Index The Sources of the Data The Base of Comparison Methods of...

You have been provided with the description of a programming language, J, intended for scripting applications. Its syntax is similar to a cut-down version of Java in that it consists of function...

An RL circuit with a 3-2 resistor and a 0 06-H inductor carries a current of 1 A at t=0, at which time a voltage source El) = 3 cos (1201) V is added. Determine the subsequent inductor current and...

Jaime a citizen and resident of the Philippines, single, head of family, died on June 15, 2010 leaving the following properties and charges thereon: Personal Properties P 1,000,000 Family Home P...

In a lump sum purchase of multiple assets, how are the individual assets recorded? Based on the relative book values of the assets

Individually, you will explore the current environment of IT. The idea is to explore intellectual themes from the course. One way is to scan periodicals such as e-Week, InformationWeek, CIO, Computer...

2. Compare the elasticity of a monopolistic competitors demand with that of a pure competitor and a pure monopolist. Assuming identical long-run costs, compare graphically the prices and outputs that...

4. Competition in quality and service may be just as effective as price competition in giving buyers more for their money. Do you agree? Why? Explain why monopolistically competitive firms frequently...

LO13.3 Explain why monopolistic competition delivers neither productive nor allocative efficiency.