Question: Floyd-Warshall Algorithm and negative-weights? a. What do the main diagonal entries of the D matrix constructed by the Floyd-Warshall algorithm represent? b. How can we

Floyd-Warshall Algorithm and negative-weights?

What do the main diagonal entries of the D matrix

a. What do the main diagonal entries of the D matrix constructed by the Floyd-Warshall algorithm represent? b. How can we use the diagonal entries to detect negative weight cycles? D(5)= 0 3 7 2 -1 8 5 1 0 4 -3 2 -4 -4 1 -1 05 3 -5 0-2 1 6 0 (5) FLOYD-WARSHALL' (W) 1 n = W.rows 2 D = W 3 for k=1 to n 4 5 6 7 return D NIL 4 4 4 4 for i=1 to n 3 4 4 NIL 3 3 3 NIL 4 4 for j = 1 to n 5 2 2 dij = min (dij, dik + dkj) NIL 1 I 1 5 NIL

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 Algorithms Questions!

3. Energy on a Roller Coaster. The diagram shows a rollercoaster with three hills and one loop. The solid black line is the roller coaster track. The solid squares are the train at different...

QUIZ... Let D be a poset and let f : D D be a monotone function. (i) Give the definition of the least pre-fixed point, fix (f), of f. Show that fix (f) is a fixed point of f. [5 marks] (ii) Show that...

Let A, B be sets. Define: (a) the Cartesian product (A B) (b) the set of relations R between A and B (c) the identity relation A on the set A [3 marks] Suppose S, T are relations between A and B, and...

Assume that Polaris manufactures and sells 60,000 units of a product at $ 11,000 per unit in domestic markets. It costs $ 6,000 per unit to manufacture ($ 4,000 variable cost per unit, $ 2,000 fixed...

What element has the lightest atoms?

A tabular analysis of the transactions made during August 2014 by Colaw Company during its first month of operations is shown below. Each increase and decrease in stock- holders equity is explained....

What are your current research studies?

Gary Smith opened a medical practice specializing in surgery. During the first month of operation (July), the business, titled Gary Smith, Professional Corporation (P.C.), experienced the following...

I Indigo Company began the year with the beginning balances shown below and experienced these transactions: 1. Wrote off $500 of accounts receivable that were deemed uncollectible. 2. Provided...

I See The Light Projected Income Statement For the Period Ending December 31, 20x1 $ 1,125,000.00 25,000 lamps @ $45.00 @ $30.00 Sales Cost of Goods Sold 750.000.00 Gross Profit $ 375.000.00 Selling...

DRT Bank has 10 automatic teller machines (ATM) spread throughout the city maintained by the ATM Department. You have been assigned the task of determining the cost of operating each machine....

Problem 1: Consider the following Matrix A: A = [222] a) Find the Eigenvalues of A. Show all your work by hand b) Find the Eigenvectors of A. Show all your work by hand c) Normalize the Eigenvectors....

(1) You need to move an object having mass of 23 kg. In one case, you are pulling at an angle of 30. In another case, you are pushing it at the same angle. Frictional coefficient = 0.50. (a) Compute...

Coonsider the elements of the case and using the material discussed in week 1 about the Fair Labor Standards Act and the exemptions to the overtime rule, determine whether you believe the Shift...

1) How does the use of data help in planning the teaching-learning process? and based on the previous question, 2) what is the role of the use of data obtained in needs investigations? Please, No...

Discussion Question 1: How do you characterize your ethnic and racial heritage? What has been the nature of your interactions with other groups? Have your experiences been positive or negative? How...

Sketch a simple Vise fixture that can be used for holding following work pieces i. Irregular shaped jobs ii. Heavy work piece iii. Casting and forged components nswer sheets 4 of 7 Marks for this...

Prairie Outfitters, Inc., a retailer, accepts paymnent through credit cards. During August, credit card sales amounted to $12,000. The processor charges a 3% fee. Assuming that the credit card...

If the consumer price index for the United States rises from 350 at the end of a year to 365 at the end of the next year, how much inflation was there in the United States during that year?

What are the effects on the British balance of payments of the following set of transactions? U.K. Videos imports 24 million of movies from the U.S. firm Twenty-First Century Wolf (TFCW). The payment...

Why does it make sense for a multinational corporation to allow its foreign customers to pay on credit if there is rationing in the foreign credit market?

discuss how cohesion is measured,

Compare and contrast the psychodynamic, situation, trait, interactional, and phenomenological approaches to personality. Which approach is most common among sport psychologists today? Why?

identify the major sources of anxiety and stress,