Question: Three teachers x 1 , x 2 , x 3 teach four classes y 1 , y 2 , y 3 , y 4 for

Three teachers x₁, x₂, x₃ teach four classes y₁, y₂, y₃, y₄ for these numbers of periods:

X1 2 X3 1 1 0 2 0 1 1 Y3 1

Show that this arrangement can be represented by a bipartite graph G and that a teaching schedule for one period corresponds to a matching in G. Set up a teaching schedule with the smallest possible number of periods.

X1 2 X3 1 1 0 2 0 1 1 Y3 1 1 4 1

Step by Step Solution

★★★★★

3.37 Rating (156 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

X1 X2 X3 1... View full answer

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 Advanced Engineering Mathematics Questions!

Web Analytics at Quality Alloys Case: Please provide answers for the questions below based on the information provided in the case and the spreadsheet provided Please provide the average number of...

This exercise outlines a proof of the Birkhoff-von Neumann Theorem. (a) For n Z+, an n n matrix is called a permutation matrix if there is exactly one 1 in each row and column, and all other...

Three factories 1, 2, 3 are each supplied underground by water, gas, and electricity, from poins A, B, C respectively. Show that this can be represented by K3,3 (the complete bipartite graph G = (S,...

Options, Futures and Other Derivatives, Hull Hull: Options, Futures, and Other Derivatives, Ninth Edition Chapter 13: Introduction to Binomial Trees Multiple Choice Test Bank: Questions 1. The...

C&H Ski Club recently borrowed money and agreed to pay it back with a series of six annual payments of $16,000 each. C&H subsequently borrows more money and agrees to pay it back with a series of...

HOMEY Electronics (HE) is one of the famous electronics businesses in the Kingdom of Bahrain. Over the past decade, HOMEY has emerged as a leading competitor in the industry, due to the exceptional...

Q1. The Learning Activity titled "The Production Possibilities Curve" explains concepts that relate the production possibilities curve to scarcity and opportunity cost. Look at Figure 1.3 and select...

A researcher wants to estimate the percentage of people in some population who have used illegal drugs, by conducting a survey. Concerned that a lot of people would lie when asked a sensitive...

1 of 20 5.0 Points Use the Intermediate Value Theorem to show that each polynomial has a real zero between the given integers. f(x) = 2x4 - 4x2 + 1; between -1 and 0 A. f(-1) = -0; f(0) = 2 B. f(-1)...

MATH 107 QUIZ 1 Fall 2015 Instr: J. Uccellini Instructions: The quiz is worth 55 points. There are 11 problems and one bonus problem. Your score on the quiz will be converted to a percentage and...

Bauer Industries is an automobile manufacturer. Management is currently evaluating a proposal to build a plant that will manufacture lightweight trucks. Bauer plans to use a cost of capital of 12.2%...

Write a class House defined as follows: A constructor that takes three arguments: an integer p, an integer s, and a string c. The values of those three local variables must be assigned to three...

Accounting Exam 5 9 pm Points 1 0 0 Submitting an external tool Available after Mar 2 1 at 1 2 am Quention 1 5 of 1 1 0 2 : 4 0 ned Meletext ccounting Exit Exam rancial Statement Analysis -...

What is the discount rate? What happens to the money supply when the Fed raises the discount rate?

In a random sample of 500 handwritten zip code digits, 466 were read correctly by an optical character recognition (OCR) system operated by the U.S. Postal Service (USPS). USPS would like to know...

Construct a 90% confidence interval for the proportion of handwritten zip codes that were read correctly using the data provided in Exercise 9-103. Does this confidence interval support the claim...

Construct a 95% lower confidence interval for the proportion of patients with kidney stones successfully removed in Exercise 9-95. Does this confidence interval support the claim that at least 78% of...

The Tuff Wheels was getting ready to start its development project for a new product to be added to its small motorized vehicle line for children. The new product is called the Kiddy Dozer. It will...

which one is correct answer why According to the simple monetary model, if the growth rate of real income is higher in NZ, then _____ Select one: a. there is no effect on the NZ dollar. b. NZ dollar...

The EBIT Approach? The Bottom-Up Approach? The Top-Down Approach? The Tax-Shield Approach? A proposed new project has projected sales of $159,800, costs of $80,840, and depreciation of $5,640. The...