Detect a negative cycle using the predecessor indices

Assignment Help Basic Computer Science

Reference no: EM131257984

1. Show that if a network contains a negative cycle, the generic all-pairs label-correcting algorithm will never terminate.

2. Suppose that the Floyd-Warshall algorithm terminates after detecting the presence of a negative cycle. At this time, how would you detect a negative cycle using the predecessor indices?

3. In an all-pairs shortest path problem, suppose that several shortest paths connect node i and nodej. If we use the Floyd-Warshall algorithm to solve this problem, which path will the algorithm choose? Will this path be the one with the least number of arcs?

Reference no: EM131257984

Questions Cloud

Cups of chicken broth : When Chef Alice makes rice pilaf for 30 people, she uses 15 cups of chicken broth and 10 cups of rice. Dan wants to make the same recipe for 9 people. Write and use equations to find how much broth and how much rice Dan should use.

What are the utilization and efficiency of the system : Although there was ample demand for business courses last semester, conflicting schedules allowed only 1,450 new students to take business courses. What are the utilization and efficiency of this system?

Determine the positive or negative impact to the company : Analyze how your company applies compensation practice to determine the positive or negative impact to the company and its stakeholders

Provide a brief description of the selected manuscript : Identify the selection criteria and methods, and discuss how they relate to the needs of the organization in the case. Include an analysis of the criteria and methods used for selecting the employee in the manuscript.

Detect a negative cycle using the predecessor indices : Suppose that the Floyd-Warshall algorithm terminates after detecting the presence of a negative cycle. At this time, how would you detect a negative cycle using the predecessor indices?

Surface of a mountain has equation : The surface of a mountain has equation z= ln(1+3x^2y^3). A bucket of water is emptied above the point (2,1). In which direction does the water flow? (you may give only a horizontal direction)

What is the minimum number of service bays fast lube needs : What is the minimum number of service bays Fast Lube needs to achieve an anticipated servicing of 200 cars per 8-hour day?

Administrators and four students : We are making a list of participants in a panel discussion on allowing alcohol on campus. They will be sitting behind a table in the order in which we list them. There will be four administrators and four students.

Percentage of the time is he late for work : (a) What is the probability that a trip will take at least 1/2 hour? (b) If the office opens at 9:00 A.M. and the lawyer leaves his house at 8:45 A.M. daily, what percentage of the time is he late for work?

User Account

All Pages