Question: 3 . Let M be a maximal matching and L a minimal edge cover ( a ) Prove that M is maximum matching if and

3. Let M be a maximal matching and L a minimal edge cover
(a) Prove that M is maximum matching if and only if M is contained
in a minimum edge cover.
(b) Prove that L is a minimum edge cover if and only if L contains
a maximum matching

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!

Q:

A matching is maximal if it does not leave any free edge. Let M be a maximal matching and M * be a maximum matching. Prove that |M| greaterthanorequalto 1/2 middot |M*|. Conclude an O (E) time...

Q:

MTH 607 - Graph Theory Assignment 4a Due Monday, March 27, 2017 (3pm) For full marks, your answers should be clear, precise and carefully argued. Just having \"the right idea\" will only give you a...

Q:

Problem 5. (3 pts) Fractional Matching in regular and bipartite graphs. In the standard Matching problem, given a graph G our goal is to find a subset of the edge MCE such that each vertex is...

Q:

t1=1, for i=1 to 9 Answer the following questions: (a) Show that the construction can be done in polynomial time. (b) Show that if the 3DM problem instance is a yes-instance, then the constructed...

Q:

please help me with this asap do it carefully and clearly plz. # Import library import numpy as #(2 points) # Function register_Arun_3D # Input: Two 3x matrices of points to register: # fixed dataset...

Q:

Note: I've already looked at the solution from "Textbook Solutions" but could really use another perspective on it. I've included the algorithm and an example of it in action below. Example of the...

Q:

Please complete ALL parts with neat handwriting and ignore references to tutorial and drills. Please let me know if more clarification is needed. Below is the parts needed for each question. Please...

Q:

Please complete ALL parts with neat handwriting and ignore references to tutorial and drills. Please let me know if more clarification is needed. Below is the parts needed for each question. Please...

Q:

CO 250 Assignment 8 - Winter 2015 Due: Friday, March 20th 2015, by 4pm (sharp) Note: Submit your completed assignment to the following dropboxes outside MC 4066: Section 1 [L. Sanit`] a TTh...

Q:

7.24. Direct bipartite matching. We've seen how to find a maximum matching in a bipartite graph via reduction to the maximum flow problem. We now develop a direct algorithm. Let G = (VUV2, E) be a...

Q:

On the basis of the details of the following bonds payable and related discount accounts, indicate the items to be reported in the Financing Activities section of the statement of cash flows,...

Q:

Suppose that Y is compact. The correspondence

Q:

What is the market interest rate on Harry Davis' debt, and what is the component cost of this debt for W ACC purposes?

Q:

Regulations created and enforced by federal regulatory agencies like the IRS are examples of: antitrust laws administrative laws securities laws labor laws

Q:

List the forces that shape a groups decisions Explain the six-step group decision process

Q:

Describe the types of power that effective leaders employ

Q:

Describe how leadership styles should be adapted to the situation