Quiz 4
Graph Theory Challenge: Test Your Knowledge!
Welcome to the Graph Theory Challenge, where you can assess your understanding of important concepts in graph theory, including the Bellman-Ford algorithm, shortest paths, and negative cycles.
Prepare yourself with the following:
- 11 engaging and thought-provoking questions
- Multiple choice answers to test your comprehension
- Immediate feedback on your selected answers
If a simple path has total number of edges less than P, the means:
Cycle exists
Cycle does not exist
It is a tree
If a negative cycle exists in a graph, traversing will stuck when we will reach p-long edge path.
True
False
In a graph, if 4 edge long shortest path has value 15 and,if 6 edge long shortest path has value 10,it implies
Graph has negative weights
Negative cycle exists
4-edge path is shortest
Using Bellman Ford Algorithm ,finding the change in value of shortest path to discover the negative cycle, we cant stop until there is no change in value from 1-edge path to 2-edge path
True
False
If graph has 5 number of vertices in total, when the super vertex will be added for using Bellman Ford algo to find negative cycle, total number of new edges added will be
10
4
5
25
In bellMan Ford Algorithm, the middle loop runs for
All the vertices of Graph
Vertices at 2-edge distance
Vertices in shortest path
BellMan ford for shortest path is carried out on a Graph having a positive cycle with 6 number of vertices, the value of 5-edge shortest path is 9, the value of 6-edge shoretst path will be?
Lesser than 9
Also 9
Not possible to run the loop 6 times
BellMan Ford for all pair shortest path should run for log(p) times because:
To discover negative cycles
It jumps from 2-edge path to 4-edge path
To avoid negative weights
Which algorithm's for loop includes intermediate verices
BellMan Ford
Floyd Warshall
Slow all pair shortest path
The time complexity for slow all pair shortest path for a graph with 5 vertices is
25
5
625
250
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